Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso...

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Transcript of Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso...

Page 1: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

INSTYTUT FIZYKI J,

ADROWEJ

im. Henryka Niewodnicza�nskiego

ul. Radzikowskiego 152, 31-342 Krak�ow

www.ifj.edu.pl/reports/2001.html

Krak�ow, pa�dziernik 2001

Raport Nr 1883/PH

Komory Projekcji Czasowej w Eksperymentachna Wi

,

azkach Relatywistycznych Jon�ow1

Marek Kowalski

Rozprawa habilitacyjna

(Habilitation Thesis)

1Praca cz,

e�sciowo �nansowana z grant�ow KBN Nr 2P03B 01118 i 5P03B 13820

Page 2: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

Abstract

This report describes the modern detector used in relativistic ion experiments - theTime Projection Chamber. The detector description, together with the most relevantprocesses and the microscopic simulation code are presented. The TPC development,including the most representative physical results, is shown on the exapmle of existingdetectors used in CERN experiments NA35 and NA49. Also the Time ProjectionChamber designed for the ALICE experiment on the LHC, together with results ofdetailed simulations is presented.

Page 3: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 4: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 5: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 9: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 11: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 12: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 14: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 15: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 16: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 18: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 19: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Ì V �§[ a Hbr QxO H Z JUHc�§[ Z]\.V H W H alR � W �X KäK[ a HbubHÂT3[ a w-rSH Z J Q Å�`��q�XbW [ Z]\5VqXbOEQxXkaø^-X `�vrxH ^-P-X �T Z?Q J R T/�OE^-R ½ PAQxX KIH P [ T3� XbV-P-QSR?a � W w ^-P-X �T Z?Q KIH W w P `��X K R `�T V8R?W [ acREP ��Hbr P [ Z]\ D´� P-QxPAQxR JUT O [ a WYXbO À^-OEQ Hkr R¾V-WYO?R?^ T3��HËK QSXbP-X�X u#�X r P �H ^ [qTY`_wAT3J �RÉ^-X �§[ Z?O �H Z �H¯K[q� XbW w��§[ Z]\eV H W H acR � W �X KeÅ XbV H W � �Hubvr X K P-QSRP H WYXbO KIHqNO H P-Q H Z]\ H P Hbr Q �§[ Z?OEP [ Z]\ D¼ÏH Wd^-OEQxR J�T O?ZEO?R u!�X vr X KIHIH P Hbr QSO H�K[ a HbubH�T3[ a w-rxH Z J Q�înXbP � R À�H W r X D�dc�b * x�+-,vdu ��f m � u�v + vSw�m�q � v� ` XbacXbW H Z]\¸V-WdX J R ` Z J QtZ?O HbT X K R Jw!NO [�KMHlT QSRÞ^ Kew¸rSw-�Á� W �X JUTd`�vrxH ^-P-Q ` X K[ Z]\nacQxR T O H P-R `�ukH O?X ÀK[ Z]\�O�^-XkalQSP w²J �H Z [ a w ^-OEQ Hkvr REa J RE^-P-R u XnO ubH O �X KûT O rSH Z]\-R � P [ Z]\ D�GIH²J ZEO �R �T Z?QSR J'w#NO [�KIH�T Q �R\-R rxwAÅ P-R?XbP wyrxwA�yH W u XbP w-DÄ,Hk` X ubH O ubHkT O �H Z [ P H;J Z?O �R �T ZEQxR J�w#NO [�KIH P [¸J R T3� acR ��H P¸Q�^ Kew;��r R?P-R `K �R ubrxHkD�G£H²JLKIHqNO?P-QSR JUT O [ acQ�V H W H acR � W H acQ ��Hb` QxR J acQxR T O H P ` Q TdH ç

) OE^-X r P-X �Tk�Z J XbPAQxO H Z [�J P H Û r QxZEO �-H R r R `�� WdXbP �X K P HÞJ R?^-P-X T3��` �Re^ vrSw-u X �T Z?Q ß) VAW �R?^ ` X �Tk�Z'^-W [�mLw R r R `�� WdXbP �X K) T/��Hbvr Ro^ [qmLw O J Q

� K QSR rSwlK[ V H ^ `�H Z]\�Q T/� X � P HÞJ R T3� W �X K P-QxR NO'W w Z]\ r Q K X �Tk�Z J XbP �X KÊÀÉK Q �H8NOER T Q �R � XlOgV-WYX �-r R?acR?aV8X KeT3��HËKIH P-Q H)� O KeD�vrxH ^ w P `�w VAWdO?R T3� WdO?REP-P-R u X ÅcT OEZ?O?R u#�X vr X K XÃ^ [qTd`�w²� X KIH P [ a K ^ HbrST O [ Z]\WYXbO?^-OEQ HkvrxH Z]\ D�Ä,Hb`yK[ P-Q `�H Oj¢ [qTdD� O Hkr R NO?P-X �Tk�ZÂVAW �R?^ ` X �T Z?Q�^-W [qmLw X_^áOEWdRE^ w-` X KIH P-R u X.V8X rSHR r R `�� W [ Z?OEP-R u X�a H W �X NO?P [Â`_T O ��HbvrØ� ^ rSH W �X NO?P [ Z]\ ubH O �X KeD�� V-WdO [ V H ^ `�w acQxR T O H P ` Q�XbV H W � R J P HH W u XbP-QSRI^ rxH ï �Á¿/.��b�b� ë�ðbZEaôP HbT3� �R?V w²J R K[qT/[ ZER?P-QSReV-W �RE^ ` X �T Z?Q�^AW [qmLw Û3^ rSHÁ¡ W À]�ò ² K[qT3[�ÀZER?P-QSR'V8X JUHËK Q H�T QSR JUw!NOe^ rSH X `�DlCE�b� ë�ðbZEa åØp=CEæxßYÅ VqX_^-Z?O HbTIu ^ [jK V-WdO [ V H ^ `�w P-REXbP w a H a [^-XeZ?O [ P-QxREP-Q H O ubH OER?a�P-QSR?P HkT3[ Z?XbP [ a D���[�T/[ Z?R?PAQxRMVAW �R?^ ` X �T Z?Q8^-W [qmLwÞJ R T3�£�-H Wd^-OEX ` XbWdO [�T/� P-R Åu ^ [¾NOjWYXbO rSw��OEP-Q H�KIH W w P ` Q T3��H]K Q H P-R J RE^-P-XbWYX%^AP-X �T ZEQÏV8X rSH R r R `�� W [ ZEO?P-R u X)QÏ^-X `�vrSH ^-P-X �T Z?QÏVqX ÀacQ H W w ZEQ �T P-QxREP-Q HyH{� acX Tdm REW [ Z?OEP-R u X.Û/VqXkalQ H W£Z?Q �T P-QSR?P-Q H¸HE� acX TYm R?W [ ZEO?P-R u X J R T/��` XkP-QxREZ?OEP [ ^AXK V-WYX KMH ^AO?R?PAQ H V8XbV-W HËK R ` ^ rxH V-W �R?^ ` X �T ZEQ%^-W [qmLw Q H acV r Q ��w ^ [lT/[�u P HbvrSw-ßdÅ ^-X �T3K Q H ^-ZEO?REP-Q HIGI¡I�k�V8X `�H O w;J �HgJ R?^-P Hb`�ÅINO?R TY`_w;� R?ZEO?P Hy` XkP � WdX rSH V H W H acR � W �X KôubH O w P-QSR?P HbT/[ Z?XbP-R u X J R T/� acX NO r Q KIHÛ/¢ [qTdDS�bßYD¡ W u XbP J R T3� W �X K P-QSR NO ubH O?REa T O [��A` QSa Å Z?X'O?acP-QSR JUT O H Z?O HbT X_^-ZEO [���w ^AR � R `�� XbW H Q6VqX ÀO KMHbrSH P H VAW H Z �ReVAWdO [)TYvrxHk�-T O [ a�V8X rSw R r R `�� W [ ZEO?P [ a DÞ�!Hb`�NO?R KevrSHbT PAX �T ZEQ J XbPAQxO H Z [�J P-R H W u XbP w

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Page 21: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

2.40

2.35

2.30

2.2510 14 18 22

October November 96 Corr. VD

VD

[cm

/µs]

Am

pl. [

arb.

uni

ts]

Corr. ampl.

26 30 1 5 9 2.30 2.31 2.32

b)σ

Mean≈ 5.10-4

470

490

510

530a)

σ

Mean= 0.2%Uncorrected

Corrected

¢ [qTdw P-R `¸� ç s acQ H P [jK Z?O HkT QSR�Û/alQSR?WYO?XbPARgQtV8XbV-W H]K QSXbP-ReP H O?acQ H P [5¨ ð iÉß V-W �R?^ ` X �T ZEQ#^AW [qmLwQ K O?acX%ZEP-QSR?P-Q H�ubH O?X K R u X�^ rSH acQSR T O H P ` Q ¡ W À]�Ì U ÀË�ò ² Û �b� ð � ð �bßKâ�i¾� R `_T VqREW [ acR?P ��wG£¡I�b�bDT �Há` XbWdO [qT3� PAQxR JUT O?R5P-Q NO)V8XbOEX T3��HbvrØ[ Z]\ ubH O �X KeDÜs ^-W wAu QxR J'J RE^-P Hb`ÃT3� WYXbP [,Å ^ [�mLw O JUHnK H W u X ÀP-QSR J R T/�ÞK Q �R `�T O HkÅÉH'J XkP [�H W u XbP w Z]\ H W Hb`�� R?W [ O w²J �HÂT Q �R�acP-QSR JUT O �H W w Z]\ r Q K X �T Z?Q �H P-Q NO�PAV DeJ XbP [P-REXbP w Û/Z?O [ P-PAQ `c�bßYÅ Z?XeO?P H ZEO?P-QSR T O [q� Z?QSR J V-WYX KMH ^AO?Q6^-X `_w a w-rSH Z J Q vrSH ^ w P `_w V-WdOER T/� WdOER?P-PAR u XK Z?O �R �T Z?Q+^-W [qm X K R J Û3VAWdX �-r R?a � REP�^ [qTd`�w²� X KIH P [�J R T/� V8XbP-Q NO?R JUßYDÂ� T3[���wAH Z J Q Åu ^ [ ` XbacXbW HV-WYX J R ` Z J Q�Z?O HbT X K R J£J R T3�c�§[qrS` X J R?^-P �H OjZ?O �R �T Z?Q T3[qT3� R?a w´�TdrSH ^-X K R u X5P Hbr R NO [�� R NO K OEQ �H��ZyV8X_^w�KIHbu �R mLHb`���Å�NO?R�WYXbO?V-W HbT O H P-QSR£ZEO �HbT/� R `IK¿H W u XbP-QSR J R T/�ÉK Q �R `�T O?RIPAQ NO�P-V D!K P-REXbP-QSR Å Z?X K V vr¹[_KIHP HÁJUHb` X �Tk�Z vr �H Z?OER?P-Q Hc� XbW �X K OcW �X NOEP [ Z]\5^-R � R `�� XkW �X KeD¸G QSR?X � X J �R � P [�J R T/�g��Hb`�NO?R K[q���XbW ubH O �X K^-XkalQSR T O ` X K[ Z]\ DÞstH W �X K P-XcacR ��H P JUHb` Qt^ Kew;��r R?P-R `'K �R ubrSH OEacP-QxR JUT O H²J �H ^ [qmLw O J �R Å-� REPÂ^AW w-u QOEP H Z?OEP-QSR T Q r P-QSR JUÅAJ RE^-P Hb`�NOER �Ì U J R T3�eubH O?R?a÷êSO?QSalP [ a íxÅ ZEX�XbO?P H Z?O HbÅ�NO?RIO?P H ZEO?P-QSRoO?acP-QSR JUT O HV-W �R?^ ` X �Tk�Zj^AW [qmLw R r R `�� WdXbP �X KeÅ O K Q �R `�T O H²J �H Z¸Z?O HbT a H W �§K[ ^-R � R `�� XbW HkD.�Ì U J R T/�'� R NO ubH OER?aR r R `�� WdX w;J R?acP [ a ůK Q �REZ J R u XnX � R?Z?PAX �Tk�Z�VAWdX KMH ^-O?Q+^AX K[ Z]\ K[���w ^-W [qmLw²J �H Z [ Z]\�R r R `�� WdXbP �X KeDînR ��H P Å O?R K O ubr �R?^ w P H X � REZ?P-X �Tk�Z HE� Xba �X K�K X_^-XbW w-Å P-QSRMV8X K QxP-QSR?P ��[��Z T3� X T X KIH P [�K ` XkalX ÀW H Z]\5VAW H Z w²J �H Z [ Z]\ Ké�T WdX_^-X K Q TY`_w X¸^ w#NO?R JÞu �R T3� X �T ZEQÉPAR w²� WdXbP �X KeDjÚÉKIHbubH���H ^-X �§[ ZEO [���Hk`�NOERQSP-P [ Z]\ K �R ubr X K X%^AXbW �X KeD�Ä,Hk`¸K QS^ H��ZjO�VqX K[¾NO T O [ Z]\ WYXbO KIHqNO H¯�P�VAWdX �-r R?a K[q� XkW w�ubH O w WdX À� X%ZEO?R u X J R T3�eK QxR r XkV H W H alR � WYX K[bD�ù O?ZEO?R u#�X r X K �H ^ [qTd`�w-T3J �R�alX NO?P H O?P Hbr R �O �Z�acQ �R?^-O [ QSP-P [ acQK�åxCE�kÅ�pbpbÅ�p=CEæxD

�dc�� 0 u�v +�� q©� ��f { � n ~1� tpu�m�q r32 u�m�q©npnpq � v i v +pr m f u�m�q {pu x� 4�� V-WdO [ V H ^ `�wÁ` Xka �XkW!VAWdX J R ` Z J Q_Z?O HbT X K R J VAW H Z w²J �H Z [ Z]\ K5KMH W w P `�H Z]\'^ w#NO?R Jfu �R T3� X �T Z?Q�ZEO �HbT/� R `V8X JUHËK Q H)T QSR¸V-WdX �-r REa `�w a wArxH Z J Q�^-X%^ HE� P-QSR u X vrSH ^ w P `�w�K V-WdOER T3� WdOER?P-Q�^-W [�m X K R JUDó¦§T3� P-QxR J �H^ KIH �OEW �Xb^ vrxH���Hb` QSR u X vrxH ^ w P `�w-DÂÄ R?^-P-XÂO�PAQxZ]\ � X w Z?QSR?ZEO `�H�J XbP �X K OlX �-T O H W w¸K O?acX_Z?P-QSR?P-Q H

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Page 22: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 24: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

X, cm-2 -1.5 -1 -0.5 0 0.5 1 1.5 2

PR

F

0

0.05

0.1

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0.2

0.25

0.3

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pad width = 2 mmFpad width = 3 mmFpad width = 4 mmFpad width = 5 mmF

X, cm-2 -1.5 -1 -0.5 0 0.5 1 1.5 2

PR

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= 2 mm∆

= 3 mm∆

= 4 mm∆G

= 5 mm∆G

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w²� W w ^AP-QxREP-QSR?a�^ rSH VAWdX u W H a �X K WYR ` XbP T3� W w-` Z J Q D¦§T3� X � P [ÁK V vrØ[�K P H O?^-X r P-X �Tk�ZWdXkO?^-OEQxR r ZEO �H a HÏ��Hb`�NO?R u R?XbacR � WdQ H V H ^ �X K Q%VqX vr X NOER?P-QSR ` Xka �XkWX_^-Z?O [���w£K�T/� X TYw P `�w ^-X ` QxREW w P `�w£� XbW �X K Z?O �HbT3� R `�D+st��[�� ^ vrSw-u QSRÉV H ^ [ acX u �H O?P H Z?O?PAQxR�VqX u XbW ÀT O [Ï�ZIWYXbO?^-OEQxR r ZEO?X �Tk�Z ` XbacXbW [ Û/X � REZ?P-X �Tk�Z Td`�vrxH ^-P-Q `;H V-WYXbVqXkWdZ J XkP Hbr P-R u Xe^-Xe^ vrSw-u X �T Z?Q=V H ^ �X K K RK OEXbW H Z]\.VqX_^ H P [ Z]\ K Z?O?R �T P-QSR JUßYD�i WYO [ V-WYX J R `�� X KIH P-Q w�` XkalXkW [ V-WdX J R ` Z J Q�ZEO HbT X K R J P Hbr R NO [� R NO T3��H W H��Z T Q �R�OEacQxP-QSa Hbr QxOEX KIH��Z ` �HE�§[ îjQ�� Å VAWdO [ ZEO [ a¿^ rSHÉ� R u X�^-W w-u QxR u X£V8X r R�a H PAR K W w�J R T/�P H X u!�X vr P-QSR K QSR rS` QxR DÉ� V-WdO [ V H ^ `�wy` �H{��H î Å acQSP-QSa Hkr QSO w²J R T Q �R u X�V-WYX J R `���w²J �H ZoV H ^ [ P H Z]\ [�Àr XbP-RlVqX_^ ` �H{��H acQ¯X_^-VqX K Q H ^ H²J �H Z [ acQ ` �HE� Xba � XkW �X K Z?O �HkT3� R `�Dn�#Hk` QSRlWdXbO K Q �H O H P-QSR�V-WYO [�J �R � XK ` XkalXkW H Z]\ K QSR?WYO?Z]\-X vrS`�H R `�T V8R?W [ acREP ��wÂG£¡I�b�kD#� ` XbacXbWYO?R �i¾� V-W H Z w²J �H ZER JfK R `�T VqREW [�ÀacR?PAZ?QSR ¡£¥!¨¾i¾ò åØpk�bÅ-pb�²æxÅ6u ^-OEQxR�QSP � R?WYR TYw²J �H Z?R ��[qvrØ[ ZEO �HbT/��` Q6Xo^ w#NO [ Z]\�V �R?^ H Z]\�V8XbV-WYO?R?ZEO?P [ Z]\ Å` �HE� îóO?acQSP-Qxa Hbr QSO?X KMH P-X T3� X Tdw²J �H Z ` X vr X K RjWYO �R?^ [ V H ^ �X KeD�GIHkr R NO [ V8X_^ ` WdR �TYr Q �Z Å'NOER�XbV-Q TdH PARV8X K[¾NOER J WYXbO K Q �H O H P-Q H a H;J �H WdX K P-QSR NO w²J R?acP �H'T3� WYXbP �R Åqu ^ [¾NO£P H Z]\ [qr REP-QSRMX T Q6V H ^ w V8X K X_^ w²J R ÅNOER�P-QSR J R T3� XkP H V-WYX T3� XbV H ^ vrxH ^AX.^-W w²��wÙH P-X%^AX K R u X Å Z?X Td`�w²��`�w²J R�WYXbO?a [ Z?QSR?a T O?REWdX ` X �T ZEQ`�rSHbT3� W H�åØpb�kæxD� P-QSR `��q�XbW [ Z]\nV-WYO [ V H ^ `;H Z]\nVqXkV-W HËK �RoO?^-X r P-X �T Z?Q!WdXkO?^-OEQxR r ZEO?R J acX NOEP Hlw O [qTd`�H��Z T3� X Tdw²J �H ZV H ^ [ X `�T O ��Hkvr ZEQxRÞO [�u O Hb` X KIHE�§[ a Å ZEXÁV8X K X_^ w²J R r R?V T O [ V8X_^-O?Q Hbvr_K[ QSP-^ w-` X KMH PAR u X vrxH ^ w P `�wV8XbacQ �RE^-O [ VqX T O?ZEO?R u!�X r PAR�V H ^ [,DÉ�#Hk` QSR¾WdXbO K Q �H O H P-QSR¾O H VAWdXbV8XbP-X KIHbvrxH�KeT V �X vr V-W H Z H��Ìeiq¡Is�åØpk�bæxD� R `_T VqREW [ acR?P ��H Z]\)P HgK Q �H O `�H Z]\nWYR rSHE�§[�K Q T/�§[ ZEO?P [ Z]\ J XbP �X K¬` XbacXbW H V-WYX J R ` Z J Q#Z?O HkT X K R J OO [�u O Hb` X KIHE�§[ acQ�V H ^ H acQ�OEX T3��HbvrxH¸w!NO [���H V-WdOER?O KeT V �X vr VAW H Z �R �¨ ¢ ¨ÉùAD¯� QxR `;HËK[ aøWdXkO K Q �H O HEÀP-QSR?a J R T3� W �X K P-QSR NO�O H V-WdXbV8XbP-X KIH P HnK V-W H Z [÷å¹pbzbæ£�iÉ�â� REO�^-W w;���X KàH P-X_^-X K[ Z]\ DÜ� REPV-WYX J R `�� VqXkO?X T/��Hbvr%J RE^-P Hb`eK�mLH OEQxRoV-WYX � X �§[ V wAD

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Page 27: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

M $ �����÷��� @N% � D1N = N � M � @ � Mp@ � @TB Q � P N ="JKD � Q � M6@ON @ �2P��� @AQ M � Q � �IF D � @CB Q

� QSR r R�V H W H acR � W �X K�` XkalXkW [ V-WYX J R ` Z J Q�Z?O HbT X K R J acX NOEP H XkV-Q TYH��Z w#NO [�KIH²J �H Z K O?XbW �X K�H P Hbr Q �§[ Z?O ÀP [ Z]\ À���Hb` QSR�V8X_^-R J��T Z?QSR�V-WYO [�J �R r QÉP-V DnHbw;� XbWYO [ V-W H Z [­å¹�bæSD�ÎÞrSH ^AR � R `�� XbW �X Kûw#NO [�KIH P [ Z]\�P HK Q �H O `�H Z]\�R r R `�� WYXbP-X K[ Z]\jZ?O [ V-WYX � XkP-X K[ Z]\ Å_K KIH W w P `�H Z]\�P-QSR K QSR rS` QxR J�` WYX � PAX �T ZEQ8VAWdX_^ w-` X ÀKIH P [ Z]\�Z?O �HbT3� R `�Åq��[qvr XgXbPAX K[qT/��H WYZ?O H;J �H Z?R D¾� V-WdO [ V H ^ `�w X_^-^-OEQ HkvrØ[�KIH¾�P�WYR rSHE�§[�K Q T/�§[ ZEO?P [ Z]\J XbP �X K a H a [ ^-XÂZEO [ P-QSR?P-Q H Oc^ w!NO [ alQ ` WdX � P-X �T Z?Q H acQÉVAWdX_^ w-` X KIH P [ Z]\�Z?O �HkT3� R `�Å+HÁK V-WdO [�ÀV H ^ `�w�¥fòI�Å W �X K P-QSR NO�O�^ w!NO �H Z?O �R T/� X �T Z?Q �H O?^-REWdO?R �P Dy� OEWdX TYvrØ[)��Hb`�NOER K[ a HbubH P-Q HnT/��HËK Q H P-R^-R � R `�� XbWdXka Å���Hb` QxR JUHb` V-WYO?R T/� WYO?R?PAP H Q#^ Kew Z?O �HbT3��` X KIH O?^-X r P-X �Tk�Z�WdXkO?^-OEQxR r ZEO H ZEO [ O?^-X r P-X �Tk�ZWYXbO?^-OEQxR r ZEO H�K ^=ïgðb^²ñ D�� X T V8X K X_^-X KMHkvr X Å£NOER�XbV-Q TÞH P Hbr Q �§[ ZEO?P [�T/��Hbvr#T Q �R�P-QxR K[qT3��H WdZ?O H²J �H Z [,D» XbP-QSR?ZEO?P [ a K Q �R?Z T/��Hbvr X T Q �R T3�§K XbWYO?R?PAQxR T O?Z?OER u#�X vr X K R u XyV-WdX u W H a wnT3[ a w-rxH Z J Q ` XkalXkW [ V-WdX ÀJ R ` Z J Q_Z?O HbT X K R JUÅ=w�K O ukr �RE^-P-Q H²J �H Z?R u XMP H;JLKMH8NOEP-QSR JUT OERV-WdX_Z?R T3[ O H Z]\-X%^AO �H ZER K�ubH O?QSR ` XkalXkW [ÞJUHb`W �X K P-QSR NO�R m R `��§[ O K Q �H O H P-R�O u R?P-REW H Z J �HnT3[qu P HbvrxwADÂ� P-QxPAQxR JUT O [ aéWdXbOE^-O?Q Hbr R�V-WdOER?^ T/��HËK QSXbP-ROEX T3��HbvrØ[ P H²JLKIHqNO?P-QSR JUT O?RÁR r REacR?P �§[¸� R u XlVAWdX u W H a wAD7 c�b O q©npq u f w hsf tpoq u i v 2 npq � v q � q ~�2 u�vdn �Ú¾K X r P-QSR?P-QSRáV-QxREW K X � PAR u XóR r R `�� WYXbP w P HkT3� �REV w²J R�P H�Td`�w²� R ` X_^-^-OEQ Hbvr¹[�KMH P-Q H Z?O �HbT3��` Q J XkP-Q ÀO w²J �H Z?R J O�R r R `�� WdXkP H acQÏP H VqX Kevr X `�H Z]\ HE� XbacX K[ Z]\ ukH O w¸K[ V8R vr P-Q H²J �H ZER u X ` XbacXbW �R Å P-V D�KV-WYO [ V H ^ `_w�H W u XbP w�Kôu W �R K Z]\-X%^AO �Hj� V8X Kevr X ` Q ÅqK V-WdO [ V H ^ `�w P-REXbP wj�§[qrS` X J RE^-P HbDÁ¨¾m R `��§[V8X Kevr X ` X K R ÅÞK X u#�X r P [ a V-WdO [ V H ^ `�w-Å O Hk�-w WdO H²J �H O Hbr R NO?PAX �Tk�Z C�� ïIU K[ P-Q `�H²J �H Z �H O?R K O?XbW w¢ w²� \AR?W m XkWd^ HbDci XbacQ H W [�K[q` XkP H P-Rc^ rSH'�§[ VqX K[ Z]\ ukH O �X KÝw!NO [_KIH P [ Z]\ Kô` XkalXkW H Z]\)^-W [qm X ÀK[ Z]\ åØpk�bæfK[q`�H O HbvrØ[5J R?^-P Hb`�Å'NO?R K¬�§[ aéVAWdO [ V H ^ `�w R m R `��§[ V8X Kevr X ` X K R¸X_^ u W [_KIH²J �H acQSP-Q Àa Hbr P �H WYX r �RÏQ%acX NOEP H�J R+O H P-QSR?^ �-H��Z D+¦§rSw-T3� W w²J R � XM¢ [qTdDtC{pbÅ-u ^-OEQxRÏP-QxR�X �-T R?W Kew;J R?a [ O HbvrSH a H P-Q HacXbP-X � XbP-QSZ?OEP-R u X�WdXbO `_vrSH ^ w.K[ W HqNO?XbP [ Z]\�V-WdOER?O K QSR rS` X �Tk�Z `�rxHbT/� W �X KéT3� W HE� REP-R?W u QSQIP HÂJ XkP-Q ÀO H Z J �R D�� X u#�X r P [ a�V-WdO [ V H ^ `�w WYXbO `�vrSH ^�REP-R?W u QxQ6V-QSR?W K X � P-R u X'R r R `�� WdXbP w acX NOEP HK Q �REZIXbV-Q TdH��ZO Hbr R NO?P-X �T Z?Q �H'�§[ V w�C�� ï�P Å ^-X � QxREW H²J �H Z KeT V �X vr ZEO [ P-P-Q ` î K O Hkr R NO?P-X �T Z?Q#X%^yWdX_^-O H;JUw�ubH O w-DÞÎÞrSH¡ WÉa H a [ O Hbr R NOEP-X �Tk�Z C�� ïIU Å ^ rxHgò R C�� ïIURQ SÁÛ/P H ¢ [qTdD�CEp WdXbO `_vrSH ^�^-X �T3K Q H ^-ZEO Hbr P [ ^ rxHgò R J R T/��-H Wd^-OEQxR J¾T3� WdXba [ PAQ NO£P H W [qT X KIH P [�r QSP-Q �H V-WYO?R?W [�KMH P �H WdXbO `�vrxH ^�¢ w;� \-REW m XbWY^ HbßdDÏÎÞrxH P-R?XbP w X%^ ÀV8X K QxRE^-P-QSRÏV8XbacQ H W [MK[q` XbP H P-X K R `�T V8R?W [ acREP-Z?QSR GI¡£�b�bÅ�K[ PAQ ` Q_V-WdOER?^ T/��HËK QxXkP-R+P H ¢ [qTYD�C{�TYw-u R?W w²J �H O Hbr R NOEP-X �Tk�Z C�� ïIURQ U Di XkQ TYT XbP-X KeTY` Q_Z]\ H W Hb`�� REW!VAWdX_Z?R TYwou R?P-REW H Z J Q,V-QSR?W K X � P-R u X�R r R `�� WdXbP w QxacV r Q `�w²J R K[q`�vrxH ^-P-Q ÀZEO [ WYXbO `�vrSH ^�X_^ r R ubvr X �T ZEQ � alQ �R?^AO [ V8X T OEZ?OER u#�X r P [ alQÞOE^-R?WYO?REP-Q H alQÞVAWdX KMH ^-O �H Z [ alQÞ^AX � R u XO JUH]K Q Td`�H ¿ Û � ß �

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T � C��¬ �®­ Ë ÷ ÕzÕ ÛWVYX ß �u ^AO?QSR

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Page 28: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

¢ [qTdw P-R `�CEp ç¢�XbO `_vrSH ^ K QSR rS` X �T Z?Q `�rxHkT3� W �X K R r R `�� WYXbP-X K[ Z]\�^ rSH�¡ WQ ò R D�¥ QSP-Q H VAWdO?REW [�KIH P HJ R T3� V-WdOER?^ vrSw!NOER?P-QSR?aûWdXbO `�vrxH ^ w ¢ w²� \AR?W m XkWd^ HbD

0Z

0.2Z

0.4Z

0.6Z

0.8Z

1.0

0Z

10 20 30[

40 50\

60]

70 80^

90_

100

70 140 210 280 350[

420 490 560\

630]

700

Pulse Height (ADC)

¢ [qTdw P-R `)CE� ç+¢�XbO `_vrSH ^ K QSR rS` X �T Z?Q `�rxHbT/� W �X K ^ rSH�G RlÛ/V w P `��§[jÀ V8XbacQ H W GI¡£�b�bßYD¥ QSP-Q H Z?Q �HbubvrSHV-WYO?RE^ T3��H]K Q H O Hbr R NO?PAX �Tk�Z C�� ï�URQ U Å�r QSP-Q H VAWdO?REW [�KIH P H�C%� ï�U D

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Page 29: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

βγ10

-11 10 10

2`

103a

104b

I/I0

0.8c

1d

1.2

1.4

1.6d1.8d

2

2.2e2.4e

¢ [qTdw PAR `5CE� ç �6w P ` Z JUHl¼ R � \-R À˼+r X%Z]\ H ^ rSH�¡ W ÀË�ò ² Û �b� ð CE�bßdDÏÎÞH P-RÞV8X%Z]\-X_^-O �H OoV-W H Z [Ãå¹�bæ» WdO [�KMH P H ¢ [qTdDÉC{� a H VqX T3��H��Z?ç

÷ Õ Õ ÛfVX ß � ¿ üV ;hg Ë ¿ U � V ;hg � r P ¿ ö � CÛfVX ß ;Di �

H ^-XbV HbT X KIH P-QSRg^-Xl^ H P [ Z]\�^ H²J RoP HbT3� �R?V w;J �H Z?R KMH W � X �T Z?QfV H W H acR � W �X K ¿ ü QjQjQ í ç¿ ü � �³¯ hbzbp1° CE�W±=üUÅ¿ U � CE�³¯ zb�bpbÅ¿ ö � �³¯ CE�b�1° CE�W±*²?Å¿ ² � C�¯ �bzb�bÅ¿ í � C�¯ �b�b�bD� R J V H W H acR � W [ O H Z J Q w!NO [�� XÁW �X K P-QSR NO£^ rxH alQSR T O H PAR `�ukH O?X K[ Z]\jXbV H W �§[ Z]\jP H P-REXbP-QSR Å�u ^ [¾NO KX �AT O H WdO?R C�� V�Uo^ H P-R T �Hc�-H WY^-O?X w-� X u QSR H Oo^-W w-u QSR JÏT3� WdXbP [�K Q H ^-XbacX Å�NOERoalQSR T O H P ` QfXbV H W � RP H P-REXbP-QSRgO H Z]\-X Kew²J �H�T Q �ReV8X_^-X � P-QSRo^-X �§[ Z]\�XbV H W �§[ Z]\�P HlH W u XbP-QSR åØpkhbæxD7 c�� 0 u�vI{ �p~ w hsf q � q ~�2 u�vdn ,v i ik2:,vdu�n x w yi QSR?W K X � P [ R r R `�� WYXbPÊacX NOERn^ Hbr R JeJ XbP-QSO?X KIH��Z�X �T WdX_^-R `�Åeu R?P-REW w²J �H Z�R r R `�� WYXbP [ÙK���XbWYP-R D÷¦ Z]\r QxZEO � �ReacX NO?P HoK[qr QxZEO [Ï�Z'OER K OEXbW w �

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Ntot/cm0n

20o

40p

60q

80r

1000n

5000s

10000

15000

20000o25000

30000t35000t Without fluctuations

With fluctuations

Without fluctuations

With fluctuations

Without fluctuations

With fluctuations

Without fluctuations

With fluctuations

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Page 39: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 40: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

¢ [qTdw P-R `�pb� ç+¢£XkO `�vrxH ^ T3� W HE�+J XbPAQxO H Z [�J P [ Z]\�Û �T WdRE^-P-Q H êxX � ZEQ �R ��HbíSÅ�zb�h� V w P `����X K XÁP H;J alPAQxR JLÀT O?R J�J XbP-QSO H Z J Q ß ^ rSH R r R `�� WdXkP �X K XcV �RE^-O?QSR pk��� RUëÁðbZ�Û Hbß Qt^ rSH Z?O �HkT3� R `jw²J R?acP [ Z]\�Û �k��� Çd±qßK Z?R?P � W Hbr P [ Z]\�O?^-REWdO?REP-Q H Z]\ ù � ¡Iw Û �AßdDÈ{ � 2 � :�Õ!4A&A>?<@&.>,* �& �?� � 4� ` XbacXbWdOER'V-WYX J R ` Z J Q!Z?O HbT X K R J£GI¡£�b� V8XbacQ H W wlJ XkP-QxO H Z J Qf^-X ` XbP [�KMH P-X�P H ^ vrxwAu X �T ZEQ �TYrxH ^ wX `�DMCEDxp a Å VqX_^-O?QSR r XbP-R J P H��b� V-W �X � R `�DÏÎÞrSH¯��Hb` QxR u X�V-WdO [ V H ^ `�w-ŲJUHb` VqX `�H O H P-X K VAW H Z [�åØ�bh²æxÅacX NOEP H�w O [qTd`�H��ZeO?^-X r P-X �Tk�Z'WYXbO?^-OEQxR r ZEO �HoK ^=ïgðk^kñ�X `�D£zbDx�h�lD�Ä,Hb`gK QS^ H��ZeP H ¢ [qTYD!pk�bÅAK[ P-Q `X � WdO [ a H P [�Kè�i¾��G£¡I�b��J R T/� O �-r Q NOEXbP [ ^AX � R JÏKIH W � X �T Z?Q Dni XbO K X r Q vr X � XyP H Qx^-REP �§[�½A`;H Z J �RZEO �HbT/� R `ÁJUHb` P H ¢ [qTdDfpbz Û3^ rxH Z?O �HbT3� R ` ^-X_^ HE� PAQxZ]\ ßYDIi WdX_Z?RE^ w W H ^-X �T3K Q H ^-Z?O Hbr P H V8X r R ubHbvrSH P H^-XkV HbT X KIH P-Q w ^AX�R `�T V8R?W [ acREP ��Hbr P-R u X�WdXbO `�vrxH ^ w ^-ïgðb^kñ TYw a [ ZEO � R?WdREZ]\ÂWYXbO `�vrSH ^ �X Kä�eHbw-TdTYH

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¢ [qTdw P-R `Âpkz çI¢�XbO `�vrSH ^ T/� W HE�£J XkP-QxO H Z [�J P [ Z]\�^ rxH Z?O �HbT3� R ` ^-X_^ HE� PAQxZ]\ K O Hb` WdR T QSR'V �RE^ �X KãCE�EÀCE�c� RUëÁðbZ D�Î XbV HkT X KMH P Hc` WYO [�KIHgJ R T/�'TYw a �H ZEO � R?WdREZ]\nWdXkO `�vrxH ^ �X K��eHbw-TYTdHbD

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Page 42: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

¢ [qTdw P-R `øpb� ç ¢�XbO `_vrSH ^ W H V-Qx^AQ �§[ ^ rxH Z?O �HbT3� R `øw²J REacP [ Z]\ K O?^AR?WdOER?P-Q H Z]\ ù � ù V-WYO [pb�k�l� RUëÁðbP w-`�r REXbP�X � WdO [ a H P [ O ` XbacXbW [�T/� WYR H acR?WYX K R J QtO �iÉ�D

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Page 44: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 49: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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Page 50: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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= 180o

φÅ

= 270o

Initial z-position of electron (cm)0 50 100 150 200 250

(mra

d)

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

φÅ

= 0o

φÅ

= 90o

φÅ

= 180o

φÅ

= 270o

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Page 76: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

Initial z-position of electron (cm)0 50 100 150 200 250

dR

(cm

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0

0.005

0.01

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φÅ

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φÅ

= 270o

Initial z-position of electron (cm)0 50 100 150 200 250

(mra

d)

0

0.2

0.4

0.6

0.8

1 φÅ

= 0o

φÅ

= 90o

φÅ

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φÅ

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npo@ÍVqjÏ Èkÿ ��X Æ n=÷ õ Ûi÷ þ Ï È Û ÿ �÷ Ë�É ö È+õ o@Í Ë�ÉhÌ Í � È ö/öH�È öBÏ(�ÈnËµÌ ÎkÏ È � ú�Î��È ÐÍlúkÛ ÑKÒ�Ó �`n ¡ � Å ú Ê �ö0o�ö É��þ ÷hÏ È ÏjÛ È � Èkõ Ï É�ÌWÉ�õ Ï É ÐÍlúkÛ��÷?ü Éhþ ÷ Ê ÷���Ï È�Ë o@ú�Î�Ï È � É " ÿhÉ Ï A ��q Ì ÷�ú � ÷BÎ�Á ÿ]É�Ìlÿ ÷ Ê Û, �WØKÒ É�þtÈ=ÈkþiÈkÿµÚËµÌ o@ú�ÎkÏ È � È Í Ë � È�õ Ï É�ÌlÉ�õ Ï È Û Ì ÐÉ öBÏ É�þtÈ � �þtÈyõjÉfÉ ÍlÛ�a Ø

Initial z-position of electron (cm)0 50 100 150 200 250

dR

(cm

)

0

0.02

0.04

0.06

0.08

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0.12 φÆ

= 0o

φÆ

= 90o

φÆ

= 180o

φÆ

= 270o

Initial z-position of electron (cm)0 50 100 150 200 250

(mra

d)

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8 φÆ

= 0o

φÆ

= 90o

φÆ

= 180o

φÆ

= 270o

npo@ÍVqjÏ Èkÿ ��m Æ Ó ÷ �þiÿ]É öBÛ ËµÈ3Ì ÷ õ Ûi÷ þ Ï È Û ÿ �÷ Ë�É ö È:õ o@Í Ë�É�Ì Í � È ö ö?�È öBÏv�È�Ë�Ì ÎkÏ È � úkÎ1�È ÐÍWú�Û ÑKÒ�Ó �`n ¡� Å ú Ê � ö0o�ö É��þ ÷hÏ È�È � È�ÿµË�ÈkÊkÄ#J À Ø

X N

Page 77: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

Initial z-position of electron (cm)0 50 100 150 200 250

dR

(cm

)

-0.15

-0.1

-0.05

0

0.05

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φÆ

= 90o

φÆ

= 180o

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= 270o

Initial z-position of electron (cm)0 50 100 150 200 250

(mra

d)

0

0.2

0.4

0.6

0.8

1 φÆ

= 0o

φÆ

= 90o

φÆ

= 180o

φÆ

= 270o

npo@ÍVqjÏ Èkÿ � � Æ Ó ÷ �þiÿ]É öBÛ Ë�ÈxÌ ÷ õ Ût÷ þ Ï È Û ÿ �÷ 赃 ö È�õ o@Í Ë�É�Ì Í � È ö Î È öBÏ(�ÈnËµÌ Î�Ï È � ú�Î��È ÐÍlúkÛ ÑKÒQÓ ��n ¡ �'hÅ ú Ê � ö0o�ö É��þ ÷�Ï ÈBÈ � È�ÿµËµÈ�ÊkÄ#J À ØÙ Û È�þtÿhÉ ÐÍ Ðú Ë o@ú³û õ o@Í ËµÉ�Ì Í � Û�öBÍ ÿ ÷�Î*q � È Ïm÷ ÿ]É ÏjÛ È úkÎ�Ï É ÐÍ Ðú õmÉ�ÿ&�þ ÷ õ Ï È � ÿ ÷ þ Û jÌ ÷hú � Û�ü Ì Îtolq¶øÎto@ú�Û,q�Îk÷ Ì ÐÉ öBÏ ÉÐÍ þ ÷ õ ÐÉ ö¹ö0o� È Ï È�ÌWÉ ö¥÷�ÏLo@ú³û�ü Ì Îto�ü É�Ê6É úto þ ÷�Í È�Ì ÷ � ÷ ÿ Û Ë�È Í Ë�É ö0o@ú³û�Ïm÷ ÐÍ öBÛ Èn˵þiÈ ÐÏ#ü Ì Îto Ì ÐÉ øÎ�ÏLo@ú³ûös÷ Ì ËµÉ ÐÍlúkÛi÷hú³û ÐÍqöBÛ È�Ë�þ Ï É ÐÍlúkÛ ØºÙ Û õ ÷ Ðú ËµÈ øÎ*"xøÎ È ü Ì Îto � �ÈnË ÷0ö É� jþ Ûtú�Î È ÏjÛt÷�ú³û�ös÷ Ì ËµÉ ÐÍ Ðú ÐÍqöBÛ È�Ë�þ Ï É ÐÍlúkÛÇ ¡ J ÅLÈÊÉ ú Ê6C�È Í C�Ë ü É öBÛiÏjÏm÷ o Ðú Ë�Ì ÷ ÿ�赃 ö¥÷�Ïm÷ � ÷ ÿ]É � ÐÉ�Ì Ïm÷ õjÉ üMqjÍWÎ�úkÎ�÷ þ Ïj÷�� Ì ÷�ÏjÛtú�÷�� �þ ÷ Úõ qmÏ È�ÿ ü Ì Î È Í Ë�Ì Î È ÏjÏLo ÌWÉ ÐÍlÏmÛ ÈBþ ÛtÏjÛ É ö É Î È öBÎ ÌWÉ Í ËµÈ�Ê ÐÍ öBÛ Èn˵þ Ï É ÐÍlúkÛ �WØz|{�Ì } Í�Î�~p��������c�� �����|�%���1�1�����|�w�F�Ï���%����|�¢ÐÏÑrÎ��|Òt������1�r�y���|ÑrÎ�Ñr�x��Òt�rÑr� �

�tÎ��µ���FÍ<Ó��(~p�rÍp�F���Ò ÌlÉ � Ì ÷ Ê Ê Û ÿ�ÌWÉ Í ÿ]É ü É ö È � Í`o Ê q þ ÷�ú � Û ÿhÉhÊfÉhÌ o�ü ÌlÉ � Èkÿ ú � Ûsú�Î�÷hÍ É ö È � ü É Î�ö É�þ Û �þ Ïj÷�ö0o@ü ÌWÉ�õ q Úÿ]É ös÷�ÏjÛ È6ÌlÈ ÷ þ ÛtÍ Ë o@úkÎ�ÏLo@ú³û õ ÷�ÏLo@ú³ûM"�ü É Înös÷ þ ÷ � �÷�úto@ú³ûDÏj÷ Ë�È Í Ë�É ös÷�ÏjÛ È ÷ þ � É�Ì o Ë�Ê ÐÉ ö ÌlÈkÿhÉ ÏmÍ Ë�Ì q ÿµÚú�o � ÏLo@ú³û Ø|Ù ú�Î È ÐÍlÏmÛ È � q9øÎ�o�ö¥÷�Ï É�õ ÷�ÏLo@ú³û É�Ë�Ì Î�o Ê ÷hÏ.o@ú³ûxÎ¥üj÷ Ì ÷ Ê6ÈnËµÌ o@Î�÷hú � Û�Î õjÉ�þ Ï É ÐÍWú�Û ÌWÉ Î õ Î�Û È�þ�ÚúkÎto@ú³û6Û�ÍWÎ ÈkÌlÉ�ÿ]É ÐÍlúkÛ ÿ�þ ÷�Í Ë�Ì ÐÉ ö e ��m�g Ø�Ñ ÷ ÿ Û È ü É�õjÈ ��ÐÍWú�Û È ÏjÛ È qµöBÎ*� þ �È�õ ÏjÛi÷ �þiÉ � Èkõ Ïj÷ ÿ öBü �þ o�ö ÐÉ öÔ�wq ÿµÚË qj÷�ú � Û,"�Îk÷ Ì ÐÉ öBÏ Érþ ÷hÏ õ ÷�q É öBÍ ÿ Ûtú³û � ÷ ÿ Û1öBÎ Ê6É úkÏjÛ È ÏjÛt÷Õ��÷�Î É ö È � É Ø n ÐÉ öBÏjÛ È øÎ ü ÌlÉ� jþtÈ�Ê ü Ì Î È�Úÿ�Ì o�ös÷�ÏjÛt÷�ÍlÛ �È+ÿ�þ ÷�Í ËµÌ ÐÉ ö o �þ ü ÉkËµÌ ÷ ÿµËµÉ ös÷�ÏLo Î o Ë0É ü Ë o Ê ÛtÍ Ë o@ú�ÎkÏjÛ È Ø¿Ù Ë ÷ ÿ Ûiú³û�ös÷ Ì qjÏ ÿ ÷�ú³ûÉkËµÌ Î�o Ê ÷�Ï É Î�÷�ö0o�øÎ É Ï �÷ È � Èkÿ�Ë o�öBÏ É ÐÍ Ðú ÌlÈkÿhÉ ÏmÍ Ë�Ì q ÿ ú � Û Ë�ÉhÌ ÐÉ ö Ø�Ù ú³ûµöBÛ þ Û É� ùÈ ú�Ï È � ö Ô=Õ9Ö�ÓK×õjÉ ÎkÏj÷ � õjÉ ös÷�ÏjÛt÷ ÐÍ þ ÷ õ ÐÉ ö ú�Î �÷hÍ Ë�Èkÿ q9øÎ�o�ös÷�ÍlÛ��È ÷ þ � ÉhÌ o Ë�Ê q É üj÷ Ì ËµÈ � É Ïm÷ Ë Înö Ø Ajþ�Ë�Ì Î È U ÷ þ£ÚÊ ÷�Ïj÷ e X�X�g Ø6Ù o õ ÷ � Ï É ÐÍ Ðú ÌlÈkÿhÉ ÏmÍ Ë�Ì q ÿ ú � Û ËµÉ�Ì ÐÉ ö ö¢Îk÷ þtÈ øÎ�Ï É ÐÍlúkÛ É�õ ü(�È�õ q�ü É ü Ì Î È ú�ÎkÏ È � É "�ü Ì Îtoq9øÎ�o@ú�Û,q Ë�È � É ÷ þ � É�Ì o ËµÊ q�Û õ ÷�ÏLo@ú³û+Î ÌlÈ ÷ þ ÛiÍ Ë o�úkÎ�ÏLo@ú³û#Í`o Ê q þ ÷�ú � Û Ê Û ÿ�ÌlÉ Í ÿhÉ ü É ö0o�ú³ûw"Eü Ì Î È�õ Í Ë ÷ ÚöBÛ É Ï É Ïj÷cn§o@Í Ø X Å Ø¦× � Èkÿ�Ë o�öBÏ É ÐÍ Ðú ÌWÈ�ÿ]É ÏjÍ ËµÌ q ÿ ú � ÛùÏjÛ È ÍWüj÷ õ ÷Bü É ÏjÛ�øÎ È ��� Å ² "�ü Ì Îto Ê ÛtÏjÛ Ê ÷ þ ÏLo Êü ÌWÉ ú È ÏjúkÛ È ÐÍ þ ÷ õ ÐÉ ö Î ÌWÈ�ÿ]É ÏjÍ ËµÌ q É ös÷�ÏLo@ú³û w�þ �Èkõ ÏjÛ È Ø

/ õjÉ�þ Ï É ÐÍWú�Û ÌlÉ Î õ ÎkÛ Èkþ úkÎ È "sü(�È�õjÉ ö È Û ÿ �÷ 赃 ö È " ÉkË�Ì Îto Ê ÷�Ï È�õjþ ÷�Î ÌlÈ�ÿ]É ÏjÍ Ë�Ì q É ös÷�ÏLo@ú³û Ë�É�Ì ÐÉ öü Ì Î Èkõ Í Ë ÷³öBÛ É Ï É Ïj÷3npo�Í Ø X Û X Ø n ÐÉ øÎkÏjÛiú ÈeÊ Û��Èkõ Îto É � É Ïj÷ Ê Û ÌlÉ Î ÿ��þ ÷ õ ÐÉ ö ÷:�±qjÏ ÿ ú � �÷ Ç ÷�qjÍlÍW÷Í �÷Bö0o@ÏjÛ ÿ Û È�Ê Î�÷ q Ì Î È ÐÏ ÿ ÍWÎ Ë ÷ �þ£Ë q ÿ�þ ÷�Í Ë�Ì ÐÉ ö�ö0o�ö É��þ ÷�ÏLo@ú³ûE�Mq ÿµË qm÷�ú � ÷ Ê Û9Í ËµÌ ÷ Ë � É ÏjÛtÎ�÷�ú�o � Ï.o@ú³ûÛmöBÎ ÊfÉ ú�ÏmÛ È ÏjÛi÷6��÷�Î É ö È � É Ø

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Page 78: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

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npo@ÍVqjÏ Èkÿ X Å�Æ × � È�ÿµË o�öBÏ É ÐÍ Ðú ÌlÈkÿhÉ ÏjÍ Ë�Ì q ÿ ú � Û ËµÉ�Ì ÐÉ ö�ö ÑKÒ�Ó�� ÷ ÿhÉ �±qjÏ ÿ ú � ÷yü �Èkõ qfü É ü Ì Î È ú�ÎkÏ È � É Ø= ÷ Ì o�ÍxqjÏ ÿ q+ü É�ÿ ÷�Îk÷�Ï É6Ì ÐÉ öBÏmÛ È øÎ?ü ÌWÉ ú È Ï Ë Ás� ÷ �þ ÍWÎto�ö0o@ú³ûM ÐÍ þ ÷ õ ÐÉ ö Ø

= Û È�ÌWÉ ÎnöBÛ��÷�Îk÷�ÏLo Ê � È ÍWÎ�úkÎ È ü ÌWÉ� jþtÈ�Ê6È�Ê � È Í Ë ÏjÛ È Ïj÷ � þtÈ üjÍWÎ�÷¥Î õjÉ�þ Ï É ÐÍ Ðú ÌlÉ Î õ ÎkÛ Èkþ úkÎ�÷�ö õMÝb9�õ�Þ "É � Ì ÷�ÏjÛtú�Îk÷ � �÷�úk÷ Ê6É øÎ þ Û�ö É ÐÍlúkÛ�Û õjÈ Ï Ë o Ajÿ ÷�ú�o � Ï È�õmÈnË�ÈkÿµË�É�Ì ÷ Ø9Ù ú³ûµöBÛ þ Û É� @È ú�Ï È � q õ ÷ �þtÉ ÍWÛ �È|É ÍlÛ �÷���Ï �÷ Ðúös÷ Ì ËµÉ ÐÍ Ðú�ß@à�á¾âãà�ä ¡ ��² "jÏj÷ þtÈ øÎ�o � È�õ Ïm÷ ÿ øÎ È "�ö Ì ÷�Î�ÎKÎ�÷hÍ Ë�É Í É ö¥÷hÏjÛ ÈkʺþtÈ üjÍWÎto@ú³û3÷ þ � É�Ì o Ë�Ê ÐÉ öZö0o ÚÍWÎ*q ÿ Û�ö¥÷�ÏmÛi÷ Û ÌlÉ Î õ Î�Û È�þ ÷�ÏjÛt÷ ÿ�þ ÷�Í ËµÌ ÐÉ ö;" É ú�Î Èkÿ Û£ös÷ ÐúBü É ü Ì ÷�ö0o Ø

Ù ÷@øÎ�ÏLo Ê õjþ ÷ ÷ õ ÷ ÐÏ ÿ]É�ÌlÈkþ ÷húto � ÏLo�ú³ûfüj÷ Ì ÷ Ê6Èn˵ÌlÈ�Ê � È Í ËKõ ö;qjú�Î �÷�Í ËµÿhÉ ö¥÷BÎ õmÉ�þ Ï É ÐÍ Ðú ÌWÉ Î õ Î�Û È�þ�ÚúkÎ�÷ Ø = ÷cn§o@Í Ø X � ü Ì Î È�õ Í Ë ÷�öBÛ É Ï É � �÷¦ö¢�±qjÏ ÿ ú � Û Ì ÐÉ øÎ�ÏmÛiú�oxü(�È�õ ÐÉ ö¢å�æ�� üv�È�õ o?� È Ï ÈkÌlÉ ö¥÷hÏ È �WØKÓ Û È�Úÿ ÷�ö0o ÊºÈ � Èkÿ�˵È�Ê � È Í Ë ÏjÛ È Î È�ÌWÉ ös÷ ÌlÉ Î õ Î�Û È�þ ú�Î É ÐÍ Ðú õjþ ÷eüj÷ Ì É Û õjÈ Ï Ë o@ú�ÎkÏLo�ú³û�üv�È�õ ÷�ú³û Ø ô È Í Ë|赃 ö0o ÚÏjÛ ÿ Û ÈkÊ ÌlÉ Îkü Ì ÷�ÍWÎ�÷�ÏmÛi÷:ú�Î �÷hÍ Ë�Èkÿ ö Ê ÷ Ë�ÈkÌ Ût÷ þiÈ Î�Ïm÷ � õ q � �÷�ú�o Ê ÍWÛ��È ü Ì Î È�õ ÑKÒQÓ � Ì q Ì ÷fü Ì ÐÉ øÎkÏjÛ É ös÷Û Ö�Ñ0�w�lØ�Ù Ñ ÷ jþ Ûtúto � ü É�Ì ÐÉ öBÏm÷�Ï É Î õjÉhþ Ï É ÐÍlú�Û ÌWÉ Î õ Î�Û È�þ ú�Î È öCÎ Ê Û È ÏjÏLo@ú³û³ç+èFéëê*ì

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Ò ÉhÌ ÐÉ öBÏ&q � �÷�ú ÉkËµÌ Îto Ê ÷�Ï È ö0o@ÏjÛ ÿ Û�Î É ú�Î Èkÿ Û£ös÷�ÏjÛt÷ Ê Û�ü Ì Î È�õ Í Ë ÷�öBÛ É Ï.o Ê Û�ö Ò ÌlÉ � Èkÿ ú�Û È Ñ È ú³û ÚÏjÛtú�ÎkÏLo Ê/È�ÿ ÍWü ÈkÌ o Ê6È Ï Ë q ÔsÕ~Ö�ÓK× e ��m�g " Ê6É øÎkÏj÷ ü É öBÛ Èkõ Î�Û È Ðú�"<øÎ È?ÌlÈ ÷ þ ÛtÍ Ë o@úkÎ�Ï È Í�o Ê q þ ÷�ú � È ü ÌlÉkÚös÷ õ Î%�÷ õjÉfÌlÈ Î*q þ�Ë ÷ Ë ÐÉ öTÏjÛ È Î o ËIÉ�õw Û È ��÷ � �÷�ú�o@ú³û É�õ�É ú�Î È�ÿ Û£ös÷ ÐÏ Ø|Ù ÷ Ì Ë�ÉeË�È øÎ?üm÷ Ê Û��È�Ë ÷ Ðú�"�øÎ È ÷ þ£Ú� ÉhÌ o Ë�Ê o ÌlÈkÿhÉ ÏmÍ Ë�Ì q ÿ ú�o � Ï È Í �÷Bü Ì Î ÈkõjÊ Û É�Ë�È�Ê Í Ë ÷ �þ o@ú³û�q þiÈ üjÍlÎ È ÐÏ6ÛjÏj÷ þtÈ øÎ�o É ú�Î È�ÿ Û£ös÷ Ðú<ü É ü Ì ÷�ö0o@"Ê Û��È�õ Î�oDÛiÏjÏLo Ê Û õ ö;qjú�Î �÷�Í ËµÿhÉ ö È � Î õjÉ�þ Ï É ÐÍWú�Û ÌWÉ Î õ ÎkÛ Èkþ úkÎ È � Û_Û õjÈ Ï Ë o Amÿ ÷hú � Û~ú�Î �÷�Í ËµÈ�ÿ � õ�Ý;9�õ�Þ �WØ

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Page 79: Abstract - ifj.edu.pl · tml Krak ow, pa dziernik 2001 Rap ort Nr 1883/PH Komory Pro jek cji Czaso w ej w Eksp erymen tac h na Wi, azk ac h Relat ywist yczn yc hJon ow 1 Mar ek Kowalski

, (%)tó/P

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100Û

200

400Ø600Ú800ö

1000

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Nent = 7948

Mean = -0.3117

RMS = 2.79

Chi2 / ndf = 466.3 / 27

14.44 ±Constant = 815.1

0.02801 ±÷

Mean = -0.2867

0.03153 ±÷

Sigma = 2.374 ø

hpt

Nent = 7948

Mean = -0.3117

RMS = 2.79

Chi2 / ndf = 466.3 / 27

14.44 ±Constant = 815.1

0.02801 ±÷

Mean = -0.2867

0.03153 ±÷

Sigma = 2.374 ø

npo@ÍVqjÏ Èkÿ X Æ Ð� ÌlÈkõ ÏjÛt÷�Î õjÉhþ Ï É ÐÍ Ðú ÌWÉ Î õ ÎkÛ Èkþ úkÎ�÷�ö{üv�Èkõ Î�Û È ü É ü Ì Î È úkÎ�ÏLo Ê Ø:� ÛiÍ Ë�É � Ì ÷ Ê É ÎkÏj÷�ú�Îk÷ö0o@ÏjÛ ÿ�ÌlÈkÿhÉ ÏjÍ Ë�Ì q ÿ ú � Ûs"µ�±qjÏ ÿ ú � ÷ � È Í Ë?õjÉ üm÷�Í É ös÷�Ïl�÷ ÿ�Ì Îto�öf�÷ Ç ÷�qjÍWÍl÷ Ø

, (mrad)λd-20 -15 -10 -5 0 5 10 15 200

200

400

600

800

1000

1200

1400

1600

1800

hl

Nent = 7948

Mean = -0.01041

RMS = 2.228

Chi2 / ndf = 769.5 / 40ù

29.64 ±Constant = 1600 ù

0.0169 ±Mean = -0.03399

0.02042 ±ú

Sigma = 1.431 û

hl

Nent = 7948

Mean = -0.01041

RMS = 2.228

Chi2 / ndf = 769.5 / 40ù

29.64 ±Constant = 1600 ù

0.0169 ±Mean = -0.03399

0.02042 ±ú

Sigma = 1.431 û

, (mrad)φü

d-20 -15 -10 -5 0 5 10 15 200

100

200

300

400

500

600

700

800

900

hp

Nent = 7948

Mean = 0.1043

RMS = 3.73

Chi2 / ndf = 494.8 / 47ý

13.98 ±Constant = 821.8 ý

0.03348 ±þ

Mean = 0.1206 ÿ

0.03581 ±þ

Sigma = 2.882 �

hp

Nent = 7948

Mean = 0.1043

RMS = 3.73

Chi2 / ndf = 494.8 / 47ý

13.98 ±Constant = 821.8 ý

0.03348 ±þ

Mean = 0.1206 ÿ

0.03581 ±þ

Sigma = 2.882 �

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= Û È Î�ö0o ÿ�þtÈDÉ ö É ú�Ïj÷ o �þ ÷+öBÍWü ÐÉ��þ ü Ì ÷hú�÷ZÎ $ Ì ØÏ� ÷�ÏjÍ È�Ê¥Ú³ÇBÈ�Ì ûj÷ ÌWõjÈ�Ê � ÛiÍWú³û È�ÌWÈ�Ê " ÿµË ÐÉ�Ì oú³ûv�È�Ë ÏjÛ È q õ Î�Û È�þ ÷ �þuÊ Û ÿhÉ ÏmÍVq þ�Ë ÷�ú � ÛuÛEöBü ÌlÉ ös÷ õ Î�÷ �þ<Ê ÏjÛ È ö ËµÈ ú³ûjÏjÛtú�ÎkÏ È ÍWÎ�úkÎ È � ÐÉ��þ o õjÉ�Ë o�úkÎ �÷�ú ÈõjÈ�Ë�Èkÿ�˵É�Ì ÐÉ ö ��÷�Î É ö0o@ú³û Ø

Ò ÌlÉ � È Í É�Ì × öBÛ È � ÿ�Ì Îto@üùú�Î�÷ ÿ " Ò ÌWÉ � È Í É�ÌlÉ öBÛ Ò Û Ék˵ÌlÉ öBÛ � ÷ þtÈ ú ÿ Û ÈkÊ qM" Ò ÌWÉ � È Í É�ÌlÉ öBÛ U Ì Îto@ÍlÎ Ú赃 � É öBÛ8n§o Ûtú ÿ Û ÈkÊ qM" Ò ÌlÉ � È Í ÉhÌlÉ öBÛ Ñ È�É�õjÉ�ÌlÉ öBÛ � Û È�Ê Ût÷ Ì úkÎ*q ÿ]É öBÛ?Û Ò ÌWÉ � È Í É�ÌlÉ öBÛ � Ûtú³ûj÷ �þtÉ öBÛÑ q Ì ÷ þiÈ Í ÈkÌlõjÈ ú�ÎkÏjÛ È�õ Î�Û È�ÿ q � �È Î�÷0øÎto@ú�Î þ Û�ö È Î�÷hÛiÏ Ë�ÈkÌlÈ Í É ö¥÷hÏjÛ È "Eü É�Ê6É úeÛ ÊfÉhÌ ÷ þ Ï È öBÍlüj÷ Ì ú�Û È Ø

= ÷3Í �þtÉ ös÷�ÍlÎkú�Î È � ÐÉ�þ Ï È � ö õ Î�Û �È ú�ÎkÏ É ÐÍWú�Û Îk÷�Í �þ q¶øÎto þ Û Æ � ÈkþiÈ Ïj÷ ) Ût÷ �þtÿhÉ öBÍ ÿ ÷�"Eô É ÷�ú³ûjÛ Ê )65÷�ú³û þtÈ�Ì "ô@q Ì Û �7) È�þ Û ÿ]É -2"¦ô@q Ì ÷ �7) Ì ÷�úkÛiÏ Ð8 ÿ " n È Ï È ) Ì qjÏM"�� ÈkõjÈ�Ì Ûiú É Ó ÷ ÌWÊ ÛtÏj÷ Ë Ûs" = Ûtú ÿ -m÷hÏ × Û � Ï õ û É - È ÏM"� ÷ ÌlÈ�ÿ�Ç ÷ ÐÎ õ ÎkÛiú ÿ Û," � ÷ Ì Ût÷�Ï Ö -�÷�Ï É -" U ÌlÈ49Í É U ÷ õ Û � ÷�" ) Ì Ûi÷�Ï Õ ÷hÍlÛ,q ÿ " Ñ É�Ê � È o È�Ì " Õ qjúkÛi÷hÏ É� qmÍl÷�"r� É ÏjÍ0n<÷ õjÈkÊ ÷ ÿhÈkÌ ÍV"rn<÷�ÛtÏ È�Ì n È Ïw� É�Ìlõ]Ë " Ô Ï õjÌ Î È � npo Ûtú ÿ Û~Û U ÷ ÌWÈ�þ 9� ÷�� ÷ 9Ì Ð8 ÿ "�Î ÿµË ÐÉ�Ì o Ê Ûü Ì Î È ÎeÍlÎ ÈkÌlÈ � þ ÷ Ë ü Ì Î�o�ÍWÎ �þtÉ6Ê Û@ü Ì ÷hú É ö¥÷ Ðú¥Ïj÷ õ ü ÌWÉ � È�ÿµËµÉ ös÷�ÏjÛ È�ÊCõjÈn˵È�ÿµË�É�Ì ÷�"1÷�Ïm÷ þ ÛtΧ�÷ õ ÷�ÏLo@ú³û�ÛÌWÉ Înö É � È�梃 ü ÌlÉ � Ì ÷ Ê6É ö¥÷hÏjÛi÷ Ø|Ù ÍWü ÐÉ��þ ü Ì ÷hú�÷fÎBÏmÛ Ê Û o �þ ÷fü Ì ÷�ö õ ÎkÛ£ö �÷:ü Ì Î�o � È�Ê Ï É ÐÍWú�Û �÷ Ø

� ÈkÌlõjÈ ú�Î�ÏmÛ Èfõ Î�Û��È�ÿ q � �È6Ì ÐÉ öBÏjÛ È øÎ U É�þtÈ øÎ�÷hÏ ÿhÉ�Ê Û U É�þtÈ � É�Ê Î Õ ÷ ùÉ�Ì ÷ ˵É�Ì Û ÐÉ öh� ÛtÎto ÿ Û Ù o@Í É�Úÿ Ûtú³û × Ï ÈkÌ ��ÛtÛ Ö ÏjÍ Ë o Ë q Ë q�� ÛiÎ�o ÿ Û|ô �÷ õjÌlÉ ö È � Û Ê Ø!� È Ï Ì o ÿ ÷ = Û È ö É�õ ÏmÛiúkÎ�÷ ÐÏjÍ ÿ Û È � É "�Ïm÷ ÿµË ÐÉ�Ì o@ú³ûü É�Ê6É úeÎk÷�öBÍlÎ È?Ê6É � �þtÈ�ʾþ ÛiúkÎto Ðú*"9Û1Î ÿµË ÐÉ�ÌWÈ � ú�Î��È Í ËµÉ3ÿhÉhÌ Îto@Í Ë ÷ �þtÈ�Ê Ø

m �

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: &4;�<4&(�0=?>@",AB"

e g Ò@Ø ÐÔ þ -m÷ ÌlÈ ÎBÛ�öBÍWü Ø " = Öã�DC ßFE¾P " '�' � � Ê� m ���e g Ç Ø_Ô ��÷ ÿ ÛtÍlûmÛ È -DÛmöBÍlü Ø " = qjú þ ØtÒ ûLo�Í CHGIG � " ��X � ú�� ��������e � g �jÑ9Ô n Ó É Ï ËµÈ ü Ë qj÷ þ $ È ÍWÛs�hÏÃn È ü É�Ì Ë " ÕJ)�Õ Ú Ò§j�) Ú ' ��N X � ���� �e N g Ù�ØK) þ q Ê " Õ~Ø n É�þ ÷�Ï õ Û," Ò ÷ Ì Ë Ûtú þtÈ $ ÈnËµÈ ú Ë Û É ÏröBÛ Ë û $ Ì Û,� Ë Ó ûj÷ Êb @ÈkÌ ÍV" � ü Ì ÛtÏM� È�ÌqÚ¯7<ÈkÌlþ ÷��) ÈkÌlþ ÛiÏ � È Û õjÈkþs ùÈ�Ì � Ê�����

e ' g � Ø<� ÷�q þ Û," Ò Ì ÛtÏjú�Ûtü þtÈ Í É � É ü ÈkÌ ÷ Ë Û É Ï É � Ê q þ£Ë Û£öBÛ ÌlÈ ü ÌlÉ ü É�Ì Ë Û É Ïj÷ þ ÷�Ï õ�õmÌ Û,� Ë ú³ûj÷ Êd ùÈ�Ì Íx"ÓK× n = X�X ÚL� � � �� X�X �

e ��g Ç Ø_Ó ûj÷ Ì üj÷ ÿ " $eØ n<÷�ú³û Ê ÷�Ï õ �=Ør� Ë�È ÛiÏ ÈkÌ " = Öã� EFM " �� � �� X � �lØe X�g $eØ n Ø = o� ÌlÈ ÏM" Ö Ï Ë�È�Ì Ïj÷ þ_ÌWÈ ü É�Ì Ë " ÕN)¦Õ " ) È�Ìlÿ]È�þtÈ o�" ÓKÔ "�� È� Ø � �� X N��WØe m�g Ô=Ø n Ø_Ó þ ÷ Ìlÿ ÛmöBÍWü Ø " Ò ÌlÉ ü É ÍW÷ þ � É�Ì ÷ Ò�×�Ò � ÷�ú�Û þ Û Ë o ÷hÍ È�õ�É Ï Ë û È ÑKÒ�Ó " Ò�×QÒ Ú N � �� X�� �WØe � g �=Ø.) È�Ë û È ÷�Ï õ ô Ø¦Ô ÍWû ÿ ÛiÏw" Ò ÷�ÍlÍW÷�� È�É �0n<÷ õ Ût÷ Ë Û É Ï Ë û ÌlÉ qM��û � ÷ ËWË�ÈkÌ ö × ¨ ü È�Ì Û Ê6È Ï Ë ÷ þ

= qjú þtÈ ÷ Ì Ò ûLo�ÍWÛiúkÍV"�ö0o õ Ø n Ø � È � ÌWÈ " =sÈ öÔ¹ É�ÌWÿ " Ù Û þtþiÈ o �� ' � Ú ' �e � g Õ~Ø_Õ ÷�Ï õ ÷�q�ô Ø1Ò ûLo@Í ØµjsØ,�jØ,�jØ n Ø E " �� � Ê��N�N��e � g )�Ø n É ÍWÍlÛ," � Û,��û Ú × Ï ÈkÌ ��o Ò ÷ Ì Ë Ûiú þiÈ ÍV" Ò ÌlÈ Ï Ë Ûiú È � ÷ þtþ " × ÏM� þtÈ ö É�É�õ Ó þ Û�OùÍV" = Ø ô Ø " Ê� '� e g �jØ � ØP) Ût÷����hÛs" = Öã�DC ß¾PFE " X � � Ê� m ���e �� g � ØP) þiÉ ú³û�÷hÏ õ?= Øt×QØJ) Ì ÷ õM q Ì o@" Ò ûLo@Í Ø n È - Ø ÝIE " ��m � � ���� ' �

Ô=Ør� È�Ì Î È Ï ùÈ�Ì ��"~ô Ø_Ó û È�Ê Ø~Ò ûLo�Í Ø Ov� " N���N � �� � ���e �N g n $ Ú � � Ë ÷ Ë qjÍ�n È ü É�ÌqË " ÓK× n =�9 $ n $eÓf��N Ú � � �����N��e ' g �=Ør� ûjÛ Ê ÷ ÊfÉhÌ Û_÷�Ï õ �sØr� ÉkËlË ÷�"1ô Ø_Ó û ÈkÊ Ø9Ò ûLo@Í Ø Ev� " X � �� m N��e ��g Ç Ø � Ø U Ï É�þtþ "rn<÷ õ Ût÷ Ë Û É Ï $ ÈnËµÈ ú Ë Û É Ï�÷hÏ õ � È ÷�Íxq ÌlÈkÊfÈ Ï Ë ÍV" =sÈ öÔ¹ É�ÌWÿ W Ù Û þtÈ o@" �� X �e X�g Ç Ø_Ó ûj÷ Ì üj÷ ÿ " Ô ÏjÏ&qj÷ þ n È - Ø = qjú þ Ør� ú�Û Ø " ßIM � �� X � �e m�g Ô=Õ9Ö�ÓK×!Ñ0$ n X " ÓK× n =+9 Õ��sÓKÓ �����kÚL�� " X ô�÷�Ï&qj÷ Ì o �����e �� g Õ qjúkÛi÷�Ï É � qmÍl÷�"~ÛtÏM� É�ÌlÊ ÷�ú � ÷6ü Ì o�ös÷ Ë Ïj÷e �� g ô Ø,�jØ Ç?ÉhÌlõjÉ Ï�÷hÏ õ ×�Ør� ÷ Ë ûjÛ È Í É ÏM" = Öã� ß�ßIQ " ��X � �� m N��

×�Ør� ÷ Ë ûjÛ È Í É Ï+÷�Ï õ ô Ø,�jØ Ç?ÉhÌlõjÉ Ïw" = Öã� ß�ßIQ " X�X � �� m N��ô Ø n Ø_Ñ û É�Ê üjÍ É Ï�ÛmöBÍlü Ø " = Öã�DC ß¾PùÝ " '��' � �� m ' �×�Ør� ÷ Ë ûjÛ È Í É ÏM" = Öã�RC ßFQFM " � �� � �� m�m �

e g ÑKØ~Ô þ, ùÈ�Ì ÛmöBÍlü Ø " = Öã�#C P�ÝFS " ' � "§� Ê����N��m

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e � g n $ Ú � � ÛtÏj÷ þ n È ü É�ÌqË " ÓK× n = Õµ�=ÓKÓ¢� � Ú � � Ê��� � �e � g ÔsÕ~×�Ò§�½Ó É�þiþ ÷ ùÉ�Ì ÷ Ë Û É Ï Ñ È ú³ûjÏjÛtú�÷ þ n È ü ÉhÌ Ë " ÓK× n =�9 Õ9×�Ò�Ó 9 m � Ú � �� m ���

Ù�Ø�)�Ø_Ô Ë ö É�É�õ Û�öBÍWü Ø " = Öã�DC PFM G " N�N � � Ê���¾��e N g Ñ û È ÔsÕ~×�Ò§�y� ÷�Ï õM ùÉ�É�ÿ " È�õ Ø_Ó û Ì ÛtÍ ) É ö õjÈkÌ o�" ÓK× n = ���� 'e �' g Ñ ÷ ÿhÈ ÍlûjÛ � Û ÿ Ûs"�npo É Íxq ÿhÈ Ö Ë�É ûx÷�Ï õ Ñ qjÏ È o É ÍlûmÛ U ÷ Ê ÷ È " = Öã�DC ß�P G " � N � �� m ' �e ��g �sØ ô Ør� Û þtÿhÈ " = Öã� ßv��Q " m � � Ê� m ���e X�g Ö�Ø1Õ È û Ì ÷�qjÍ<Û�öBÍWü Ø " Ö�×�×�×!Ñ Ì ÷�ÏjÍ Ø = qjú þ Ø�� úkÛ ØUT?V PFM " '�� � �� m ���e m�g � ÷hÏjÍ �W5É�Ì �8� ÛtÍlú³û þtÈ "�ô É ÷hú³ûjÛ Ê � È ÛiÏ Ë Î È ÷�Ï õ ) È�Ì Ïmûj÷ Ìlõ � ú³û Ê Û õ]Ë " = Öã�XC PFM(� " �� � Ê���¾��e � g ×�Ø ô ØrU É� ùÈnË Ûiú³û�÷�Ï õ n Ø U ÷ Ë Î�" Ò ûLo@Í Ø n È - Ø ��QFM " ���¾ � �� ��m �e � � g �sØ Ç Ø � ÛtÍlú³û ÈkÌ "~ÛiÏw� É�ÌlÊ ÷�ú � ÷fü Ì o�ö¥÷ Ë Ïj÷e �¾ g û ËlË ü Æs9�9 öKöKö Ø ÌWÉ�É�Ë Ø ú È�Ì Ï Ø ú³ûe � g Ç ×QÔ = Ñ Ú $ È�Ë�È ú Ë�ÉhÌ $ È ÍWú Ì Ûiü Ë Û É Ïa÷hÏ õ � Û Ê q þ ÷ Ë Û É Ï Ñ É�Éhþ " ÓK× n = Ò ÌWÉ � Ì ÷ Ê Õ Û jÌ ÷ Ì o

Ù '�� Ê�e ��� g û ËlË ü Æs9�9 Ô þ Û � É � Ë Ø ú ÈkÌ Ï Ø ú³û 9�É�Y ÛtÏ È*9e ��N g Õ ÷ Ì � È � ÷ õjÌlÉ Ï Ó É�þtþ Û õjÈkÌ Ù É�ÌWÿ ÍWû É üM" ÓK× n = � �kÚ � " ���� �e � ' g ÑKØ_Ô þ, ùÈ�Ì Û�öBÍlü Ø " × q Ì Ø_Ò ûLo@Í Ø ô Ø[Z ß " � N�� � ���� m �e � ��g ô Ø�Ù�Ør� ÷ ÌWÌ ÛtÍ<Û�öBÍlü Ø " = Öã�#C P(��O " ��� � Ê��� �e � X�g Ö�Ø1Õ È û Ì ÷�qjÍ<Û�öBÍWü Ø " = Öã� ��S G " � � � �� m �e � m�g n Øs�rØr� Ë�È�Ì Ïjû È Û Ê6È�Ì " Ò ûLo@Í Ø n È - Ø EFE " m ' � �� '� �e ��� g ÑKØ_Ô þ, ùÈ�Ì Û�öBÍlü Ø " Ò ûLo�Í Ø¶Õ È�ËlË Ø À P GFG " ' � � Ê��� � �e N � g n Ø � ÷�Ï q Ì o Ú ) ÌWÉ öBÏ+÷�Ï õ n Ø]\yØ1Ñ öBÛtÍlÍx" Ò ûjÛ þ Ør� ÷�� Ø Ý¾O " ��� � � Ê� ' N��n Ø � ÷�Ï q Ì o Ú ) ÌWÉ öBÏ+÷�Ï õ n Ø]\yØ1Ñ öBÛtÍlÍx" = ÷ Ë q ÌWÈ ��QIE " �N�N�� � �� ' � �e N¾ g $eØ ÇBÉ�þtõ ûj÷ ùÈ�Ì " �jØ Ç?É�þtõ ûj÷ @ÈkÌ " Ù�Ø_Õ È�È ÷�Ï õ ÔsØ�Ò ÷�ÛtÍV" Ò ûLo�Í Ø n È - Ø ��ßFM " � ��� � Ê� � � �e N g Ç ØiÖ�Ø U É üLo þtÉ - Ò ûLo@Í Ø~Õ ÈnËWË Ø À OFM " N X � Ê� X N��e N�� g �rØtÖ�Ø_Ò É�õ � É�ÌWÈnË Í ÿ ÛiÛ," � É - Ø ô Ø = qjú þ Ø_Ò ûLo@Í Ø PIQ " X � �� m ���e N�N g Ç Ø1Ó É úkú É ÏmÛs" Ò ûLo@Í Ø9Õ È�ËlË Ø À ÝFS " N ' � � �� X N��e N ' g � Ø ¹<÷hÏ É " �jØrU É�É ÏjÛtÏM" Ò ûLo@Í Ø9Õ È�ËlË Ø QIE À�" '�' � � �� X�m �e N ��g �jØ1Ò Ì ÷ ËlË " Ò ûLo@Í Ø n È - Ø ´?P�P " Ê�¾�N � �� m�� �

m

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e N X�g UyØrU É û þtÈ�Ê ÷�ÛtÏ È Ï�÷�Ï õ �rØ Ç oq þ ÷hÍlÍ`o�" Ò ûLo@Í Õ È�ËlË Ø À ��EFM " � � � Ê� m�� �e N m�g Ç ØP) È�ÌqË ÍWú³ûM" �rØ_Ñ É û.oj÷ Ê ÷3÷�Ï õ �+Ø Ç?É Ïw��" Ò ûLo�Í Ø n È - ØUZ PFQ m � � � �� m�m �

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