u(2"[z* @

k ft'uuoq*ru.6gullt c..'t o-Qlryqk"

a" ahC"- \l1'r\'-!fru,.r.l{"4tr- du' a; ?t,!.-".q

6 L9qr.qaLr'"' u , --o ,'u,-c. .-1,$*,e"\ i','. )"{"rqrL,' d-t i'l.lqLiiru -li,o&',S I

$uq* &",,[t4t^l! Cr.k &i{clo L^ru- .,-Lic v,.r&\ .Lr\,r ctq! T.(daqI - -_

>.{cur, f*'g*nt-s.

----' \"tei rruur\<-t*r6 | otc cLJ tr(t) \Lp"ru Ql,s," vo.(', cr]$i*l |,tl.tr\^.

G &, \.si\.".k (2?4q-t{Lk*, ) l- . UoC.q&:"Q.:d^r,..t ftt, kr+u"Q^rtr. ,<.rq6

4o' iuSkl\& \loir't" *' * d.{ l* D&qrn - dA i"\kt.icitd"!"i t

Er N (r\ , -lotd,,.i"ed '*,

idt !

= - Yu dt

*tit -.o*

N (A : N] (O\ Jtst Lf l - [el --+(trt(.t .t^at:Dl.*,"tri.ver. Gs" $c .

v

-rce{qr,rqQlXd'\ ci.(\*dd" ** dt (lq

* "I-(sJ) = -f G*J t aLar {ttrt')

- FL.-I$\,\ + =-lN.e 'ds

C ?rlnr*^o,*i^o,^r vo, T t vr.l N

lN(\ - N({1d{\ -r5(q

+ *F - -F"rer+ ' nlq\y A!.&'vutd's l}.0ca,r-r-(,"[ krqc" o.-lds\ Lr t --o ulk-.&u. G..."n.SL r-.rt,.Jf.it.

trrp [+\ d\ -- fit"d+ LiqtAAc"fu&tc\ ,d.( o" Ll to=o r c.t o'd-l],,r

-Eri.&!" :.) t \(n ti{t n.[a(tt .

t (1r*rar = [-.-rtl- =,r :\Ll\tl.r, L&-,actqr,oo t = tot tgl+) = [-JR Sl" =

l;-!ll"-rl

cllt]

ctaa {o-c

!t.

l\ 12o l2orr (,

G t.'"+l"'liU**,", Fi

6r^ iulV^\ trl t, t&,r-. Lq-" i. {. ir- v',r.8\ec{-.t.r E {:uS['q& L >e'{ql!r'"

(r+ L\.0,.d,. d.of. c{s\ -fded'\ ta.{t &\ = (^t".t "r ctu' Ll&'r.4'

511x!'itd$u- !'\Oc!^u €.dr-$At d" +, ?€'+-er".

F - T t.'l"l - :-'\

re' , it" dic

\: sc$(t\' a:F*

ir{(-' !".:."erq",,.t,.xr.La{{u:ut CJouf,.\..| )-$o<\ ' -I-a

t l,u.d^cil-l&Lerl . d$ olo,r \"rtrl,u" i, "e$' Ze'i'.Ltq Lc'u!.l i :tt{c'0{+'

\.rl ili I tio.\0.v l\l ( $*^rr,.,r0"ift ) <

6 + T LJ,'\,,,i1r:1r',' x[.'.\ <

E(pr."' -Tr;J-'

, dtl 6 r*^';

h', \*-r,..1 't" .6) o" G' ds.\tL(+

I.

q < {*" qe& N+ vu- -\r<..t<"L\o'' cl-'\'r"it.\*..

SF o*' ". ft\+ \joq dr. $r[t r^r"d A'\ &' Llf >r''rir't't' A"eo\l aL

L-lr"r$v0.r -\xr^r-.v..\ , A* \ -

A"3

a,"\ + -.. rs$ C\ + AfiT-Js$r.{- \ts<*"-( A'( --,'

: S Lo.u'. $ o.l- +*SuoLA cv\ q.!}'u u"\d\1h.. g-d, .A\e:ud-t'^ d.rp'lc'f

Lv\d!^ I [,-* 5it\ ol,& {",, +-,{c-llll*.\\-l

A.tr -'- C.\ (A,r"t uqk,"r-,",k-

t"d :'$a"d \\*i -+ al,[ kol"i{r

: E!$"' 'Qe'."\u"'q.L!d,l s*"+C"av3*'l.,1\, X

$tr-J i*\.L*trs," \*"urrgq&udk N.+-\< --\ C $ Y

G s-c+ : {., C \,^'..,-.-' cr\r-r cx \.L".q.w, -Q*n1..lf&t.ifb)

! I. 4.ie.trr ,!s \\-,^:\t,l,(&i,i t\

ffNr-tG Tu a.Qru "\ , !tt"&t

A*\ou1t- tr^cl at=*q6u{.

f 0J L{\c+lvc t\.(Gr--( r. t. {.t.f *lt Fu-t,.1 .t*9rg5 )

Sdtterinq center

Fig, 6,1 scatterins Fom a 6xed potential: P is the s.atter ng

angle and b is ihe impact pa€m.ter.

( c r'.'r)-[*'.

-u

-rZoi-$ us,\ i" oLr"'ior,u -r.a l"ut \-riu\.o^ d.-!-

r,LryQru\-\ .

t lzo (2" u @

utcQ.\ U"tFdrc,'T.\Qd,lJ-r,{.&!.{ ci&

r,.cu &, ULtr :l*\.tor" d$, -lertJi.ru J\,-

L-t"c.irr.t " .

t : Lr',p.ci F*ir'.ku-

Q , $<.^tlir^\.til Gu"ues.U.i)

\ = a c"'"d

JJ ro =T

u..^J = q,\" tI+ ) -* crs(o-)

t = -P- c",.(9\

etL\= a Grc"\C?) (u'l: o (o.a)

-- -t,tJi'r\ , ci-u( <1...&.

dr'^ Ttil,j.,l"1"r.u& &'

b "!-1,- {.!..\d(- ).\c^tr-.t s".-ta,'4

A; € uul q ,\. AL{, c..,$r l^r,l vor.,\l .l

tuk"+rsl 0 = o(L\

v ir)

Fig. 6.2 Hard rph€re scatterinS.

L*- \ lt(\o.\d-h (\< re\.!. r,q.,, r tt

-|

5 .ll[rt*li'Us- Qr*- 1,"i.,!^i^r1t

fig. 6,t Parlicle incldent in aca dd scatteE into solid angle d'l.

Fr c\t{ J.s = to .fL * 4_\

A.D = Qre a.s At

A, d'\- r {.J\J{ \ - L rd.,rAJa r(i,uAb.\{ t si"u laEl

Xq)(P.,+. q-(".^*\ .-/G)o--\+r?

s 1'> Lt9\ k{cL(.ui\^. t. ;

-.- .\.g : / 1'1'- \'d-!-L \re r.'"1(e3 )

rr.- --,- ,r fll.\'( q\" B d'e

-'." " \\-l)1*-(+\

o { € 4t-

= \"'Q \rc o"no-,n J t

- la( \.tc"ro : (n

fi l20(2c{r @

u^i+ cr Lc.duL{ t L

Ec1l. r,.

0 *0

kcq.t Loo,,!r,-alc,-

C4dz rrr I

fi;!i& !\ - ut^t ,j', {,o'1,. L{.!.-------t- \ \J

L = 2r*t1\ '* $ -- -] '+"tg \

-* ,t- _ .L* S"l9)(o{{}: g-'-. d5- r Q\^\e\ - k

LC

Lt''[ \r5.1. \I-r)z -L= :t-11 - lt 1T-

1

(ul. r-ua, k+ )

"l"re& L:gs-S!--Ss:s'g. Q.\t,.^r.,1 e\r.r -Io (d.^ru\ u.l I & L"c{i^"1 I.,

a*. Ca-t ot-\- lc'|...d"'Q g*t -qlp..\ o r"ittr," \cl{d.ru\

c"l tB) E. t ir,-\r,0*'T4r A.t.le 'l

t - "., .(-.

. .ls{"-'. *(, -:-t- lb

9Y* i.t&\ it\tr.\{

l- rk, \^"r01 r*lerri"

Q"r& t<A.. Qit"s;,")

Qr."-L:k{v ?$uL-rr.u,,4."', (o\ 'E T'F" o r-ltir \"'*' Lc,i'".,'r +' \-Ldu'-

(u\ Lx )tw"htni+i"dr.. ; \c\a, inlvc.- i $..\i :t i$t > s'

lr,*,i,"o s\if

?r lzl{>ort $

A..>.,\{ d,' fo [cQ,J."

qr" fAr&"-ol"€,:.rF

d,r'.d^ dr,r R;.lu

, {ic gro teilu.e-.il

t\',*"&u-QS dA {\."{^rn

tu^[hJ.l )i^u. {lv^tl t(+r4r,,'-' @

-V , T."*.F_O\c {NuSl.d-!v- t

'L\tc!,r*${L

---,' ?er- -tx p"srr,-.-l w,i5r- r'-.o' ctd Aq+."L{ ctU du -Erao{"t ,d,n t$ d" !ku""rl-

i\^ r{ls ?aqu.L$r"!d otJL aL4-c{-r"t f td,dlc . V &l L6{ c.rt"ctl,i r i..t'- drq

?q,^r,-,.r'| tq.q ,rL.u. qlrelfr!.r.uitf {,rl dL{Ir,^

C' **,=Jao -+ 5=39

- ].tiF * \ oL$o u".0- -\$cu goa\k $*{* .$qtt ( &Nr frtr^c.r"!u-

1'.", d", '!sa.q,r*ct r''.,il 6tr",u1tt.

urtdr' .

C$,r G$u'-\t\p\(..\*' u*il.. t^^rgu.l"$ 'p8. : )*['.: lot* *:tc' Ve.$r:"Q-. 4hx -.{"lo'<

aU. Sk"l^l!x"". Lslr,. LHc ' - /(o-lc )w.

Q J tr "&."..'g.. ,.,0.. ']t..h,' tr'^A (\xi^

1r+$-uil \\ru , Jag 1

R^r.$-,t,r,^ir- l!rk$!-!ow.^ trr^ot $utL't $r t'-&vr

Erqir! : F,<,-\\*rtt. atS C9u.0^tad*4.,,-a)-i

----- t ln"r" t. q)

}\.$To"l\.ct ,\l- Gt"-44,^4tar,fri*.d. t!*r"tS!gl ' {-14.;Li q-Q[t

= 1(0..t\ O\ i,^)\z \lnur,.^q$i& tJ"{SkL!'L i.ut$"it.r*ru-

E d:,,r\ai^\ {i. to^\)- U"t"(fuJ:&G\ ,ok'G In\+J

li\> i\^ "Aa,."J

\ot*> i.\'tqA{ .

.-- -, tlicr . l.li. d.^,$^'$"tt" otrt R' "^r[^ r-rutl. t.ric $. kt^,"$.| w.4r,"

$-t\.1 i" \be,'"pt1$L T

LHC - overview

TertiaryCollimators

TANTAS

TCDOTCDS

MomentumCollimation

Collimation

\..TAS

IreTertiaryCollimators

BEAMDUMPS

tR7rR3

lnjectionDump lnjection

DumpTransfer LineCollimators Transfer Line

CollimatorsATLAS 2LSWG

Lr. J. .t 2r-{,.iCrL*,r,-

\.i....1"\, 4 --+ J*1t +v\ G" Utut * x,1"L 1

(\zol:orl (D

,n\' (2nf sq(r^*] eL ) -t rt sC6;-r"i ) otg! )I'Y1(r-r'i.(

t / "t It-*r,ft . uud Ou t\' '(r. [ 'ti .'o

I

tr.n,tuteqjt"ui Q.&-l',".1 .io^ i..{,r \I <J O. ,"\'r {qiu, }r,t.trc I

i* dar'i's''l , \

t ir^ruo$rLL tn!O, 'i-u\ r* \.r-u oL" d.ic I

C fr - 1.\a r.ior,.r. ..{9. d":' T4&1,r..tu E'*l tq[sv'a d"" dp. sr" . ct1".tqdr.dsl

Eg{-$:A-&14s!s\,

F,- s1!i..\

Q*.*.f*.,Q,1,u'".

\s!

\..,*\, \\ j,.\ro. ( l-r o*.,1,r^t-\,our{o\ \!', u-. \t"C,.[, & J C.1","1r,-\--...........- !

\\u id$$th" *ld

t.l.'r. i," 6"hrAl4.,^d 1^ \xru^ac{rL. .

: \" \.J.t q idr.\\"Q', \l{,,' a.ls.I\ \ rru. \.Llo.

\ t - trtr crc'c '* q: iT,

E .\ = -h(*f, u,],u'3', .,!.1 rp,fr,f,!*, .)

-o \-', a.,l \r.&..^oln r-r"c[ ur^- .\ a,..0. &." i."'il.ir.'r0* l'$ U*Var.6l1^t

Liu.'r'*{ivC". \lo*qku aqr{ttlcLr.

t Ro' L'u\^ A" p] L'{.1,"\i" 6l"lA a'-,t{e(r,. o*{1u",J dr-' 0'"^{\c$ -

?",!^.ie"\ At\r \W,o.r^pitc'k" u* t\ w,. cLc^ Pi !*l{ku cl'\cel

e\*{o'\rr .,r.\t1t'cQ*u\ &' 0t {"dt t,i. q,h+"i tvi &L

G f-r,s = t"'-i.,"i - 6-.F'.rr" -- (i.-{.*-rF)t9.{fiF)

-:-. T(q'. (,".\ = t6i- ( rt1.' r1',1 \ - E 11" {-1r;r ) \

+' Ett ,u-?)o(Do) = : \,-, ;(q.- $qlF 1r \F'-\'z

k*.*"\* 8.i."& {t. cti f," {o.tt!l-\.lk:/-

-\

I tj = 1Pi-rsr' ,

r= ; \t.trrl r,*l:('\f l^-P, i) Ilct,P,

(r"L

o\uA i

"nY

1r (21 \zorr @

4 * J*3 '->' e'

@*G)-

| (.( - 2- <) =s

fzn\ i I 5' t' a'-t t j,-,i,-1,11&'+t"l'

-- Liu.rL,"o.LrL r,rr ou{ D,,cQ^{r1 v* [. l"grlr\ $slg$a Jr = .h Ctl 3i ,11 , l^ ir , 6,.'1, , lr 1'^) * L.{{,H" -I\"r)J{'itL;'uildi"i+

L ql - r" 1 , g) = *.' , |:'= !",3L

f' pl-o,l= (i".r,).=r,.|+r,,f .)g,ir o (,.1. ={Ct"i-",I ,hi\

* P, e-- (1."!n?. = r"l'hfr = t-, Lr''nz +t'.'r- t"'f \

Qr. h = | ( \,"^e. u,,.- ." "' )

-> ..'t - h (r,.J, ir*,.,r^".. \ '.,','11 *." r- &, \to(t.,'. ot.

. (. t,-.' 5(r^^^-E,-s,<\f"tp.r1.1 dp;,r! Ei -..lfFr.;.fUt.'5rls\ =-,. l\o', E^€;

= s \r.-,,\(\'^-{Fq--{il''i) A'=\ i,-,.\(q. {c--T:I Gi) .,'-?,r.'r,,", \'" ' \t5uiftj. \'"-i] k .,"..n,_r I i-::

i r(+;EH*r) a*ut i rr,,,.s,*r-\r{\-l tt'.!"}

r"],\,- u.-1.( .

aL0"ir,SbtL+.

i'!,::f*t:t s J .' - ,l*1. \t,'.',',',,*{ \^r.\-!.s{.{ -l' \(',1.+\'= i"a?r LL -2'1-J1, Jrx

\u {t"\-c {4" r-r. r E(tt-\\ - \($";f + {'c"; q.-x"1., )

- +6"r

F(r-r"\'.:uv-

t(\ $I".-wC .;,;rG.\ = - 1(tr:;I:-{f'".--t-.1' .tT\ ' -' ' *r I \F,;I'Flq_ -

p \^^" t- \- 1tI'-r\FE t* | =)-r""1x(\"^',u]'\hi'\

l(/.-"213\: Istt ",$ 9=Il\n{ lI \r, nr

,*,f'[:,t)

(r,.'=v) rsf t lu 6Vl"0o.Virlr"1er 1 *"4 r. - Vlr 1-,: rer\L L{r-

Nyqliod- ,\(.,,.t oli' 8uo* R'.,^

+

d,: dv$l"cL fi o.. Lrnu.,^ .

tr I >r t2o tt

q , l Sk,^eu*&r'"tl-

411 -\ 3*\t"..rur

l. (<,r,,^2, r,,,'\ = \ ((p^'1,)'- q,iq,' )

A{.!,',^,,1.o, }r.r",& li" = -\-fr;-\."rr

' =

^;fu.*5 ( I $ l't^tr )qr1^'p' n *")

-at r--116; *fu,.].

( iq",t)

- u,l, &i{,"\[." ].*.\f

?4+ I --.'. <+ k

w. \ (Q, r,'z,rq"l\

a $t=

tr t'ti !<

9.'?r

R'' l"

- ei"\PrJl

"ttri\

t,=-p..il , rr"u1. fr= _1,= Fr

= v ( (c,t,, il' - ti,' i;) rr I y;1 )'2 l= Lt lc^rt:L\ Fi" : ,t s Fl

Jt, fi-G i-6c T'CE^.e"\ - |'rsr'&rrU

I lF', ) I ' 1 [r' -ru" .' 1

"p*1 w*'

* *- **t'-,-^o, \\.tI

"Y (ir,.f ,u^,',rr,f ,u-..r., ?. l., !".!i, l. tr , fzifi rlr l'* , h i* )

: !. (1^r1lt- \r*^t -!*.' - !z ( q-\,,,r- u.,t) -.

'. E' br - {, F, - c., t. - frrtg--.1 <or o :--- 5'

\-nur^r u".o- t/rt,rt-*.r.* 2' 1 s r-,*n*r*t,,

\ n-r.r"cCU"" - 6 NC;.uJstL!\ i.xr[.;l- + U,* \r.,.ll*:i lc-

='E!* r,o,',q*,,*n , ,r". " "-.-r*

tf,${.\c":: r'rctr !t&''!o'

= Ez-Uv .- tfir\-9,.\c"ro , ?.r.t* - i (s- r},r. - r'*. \

To.r.,-

- -- t5"-u 'f"t{.' "^+ ( lotr'., -,,.,",",)\'t -.{ \l-s,rql,u,r) {' -

(',,r.tl " Jt. ,n ) (pl t-; \ 6 (r. )

lztii* 5to)[1,,'p"- 31-. .- p, )

Gi=rn

k. f.l.1 tw\ -tr(^,0- - ?crei -S\t.",og itnr i.0,ttt.pc\rL,ih\[v"

t tE.r€"- iF t.] - Iil'-il"^T \{i*--\"f fi--.\"*n

\ I zr I zorr

cf-fl G \n'rtr^.a) lpi )

6 Q l* l

aIL - ;1o1t;, '*

t't '

t

?n'

h*ttiw iat=zr-

#. ffirnro&'. J,(

Icorga td*t

(z\ (errE \ \{,1

\

lvl':

,1 G -- lf 2* c*t : (s<r'.' rrk 6.t')-n,t

..{ic ' lr-'tQqolo ='lo-'rgi.o - ,1f

iL

J

| * Llr, L\,-&{..,- c{,-' \5,.wr^- \r*" ,-r-'d:5d.n$tl' ruu'k'r'0&'u!a'r

' \ \- /

$-\'x^r\ ) (" \e" c (qLqoon\ -r,,ocQ.r,. (IZ t..,| tu\rr,- r^,^,..- ,

'\u- \"Ju*l ''t-' I

'J I dic r,,.r,' .4 Ll.0t&c".',,tts".1 ksfrt tu. A,1.u'rl C

. ,-1n_€_ _ I

"-- VQ, kY -\Llr6 " !* F. - ,n ,Lg e

trtl- t t,'lro"t 'P'4*".*

S *, \, { { c. d* crra Lr*du"i1

cdr. (d.v\t = 3{1*'to\t : 3<1+',ro( ,u

\r{* f"Lhrl uo,^" hrC

+2- & t O.u" 11

vo" l1(.\,. L,ud !,ku1ur*.0.urtku . \cr( IA'..olrlt^&q Lrr"d fi!^q(^-.aq - 2r.Qu.

,\ Lr \€A 1& { \ do.l( 4.J\,- 'tr^lCNdtt,r,L.l

t,,(h. - -, i-- ,.- 851"d^r^- $topr.L* i,^ bl,^re"vo,^{-:" L$ .l: Lc-l 1 $\"1\{ i$ |

(a* dl*. n'r'a- )--' \1q

\t^"o,^- Rq&,^ 4-.\*,^ au ,Ll',e d"it di{1fiJu& Sl aus c{rr^

EUr.,r,"\r.tt'. U{o.k{t\A,t \^l,{,J. z- L.t\r,^U-o,^ rq-.

--- &.Ok^r.\ct- \,-"* \^, -iirs.0.uillStE

,@ &r..r ci-tr

P'-o ur{ ot \

0*dr""q {.'.

'' izr I z"o @'

(ak'.1^k \crqi{ : A'A - -( *\ )

,tr&\ - ist l"<0.rk" );n.o,.q,.1-1 , cll, t .*. .fr' &*--------------- -----------1-

dlr,* &\'nt\eii" \r.kr U.lld,' lor-.^ , Lil r.r" (iL;L!fJrk.

2 \lq$t,-a.l ,6t,

i',. r^,r'ctl u,.i." t L,.i t"".

A\\r t'...htr,r." U-\t" !.\,t *t ^"' \*-p,!t< gn , e., , 0^ ,-lc\- Jiert

ro

i(\\r i*dri^* Liu',u- !,"Lou.i',.- \0,^1g t,,0.,- t-'l \Ai.'-lil-

D.rL^r"11 ( i"o"".J'" ye0.i \r"1c'.,^r^- r,,.. -{,l6.i, rl- c''{,,' \

.p&'. \ oqriu^- u.hg'r O.\ 4!,su- (uu...,o.&,' 0"" ( &u.q5i\ A"P*u"

cLs Nr+"\t{, }rl', '\*rr.u..r,^ol t$.,1 oc"\ &.'. licer

0,4u b)9.,1^t".

(X4u,1", t p' tS\ \,r.i,^t

t'.\ \,$ u\+,r r\\\p$dll aL(u JqLt- -i1 (znf [u\( r^.,. r.1t^

tro\c .d" L; d* -r-wpl\r cll, Luie.n Q-o\. , ctlr ir. drt,

\;n,*-&n"&rf,*. , [ 1., i.to t,e'rr" (r\i F t t-,l*((lt,.dr0,.l

(t"\ f,.& i-\rr^r L,r^rr (.,,.,t.i.l!r-r"l&"\ n1rp,.,{.\ tlr.u''

L

| 4{t0\ 1 Oto \g*lr d,r Li."r. rsl crrr{

{L -Tr\.Qd",- i* Ar^,i,1il",la"d q-}-(.,-t".,'t u,^.{ {,"' icrd..,r$-

6xh.\rcuJ ciu5.{o".ir.^il q.*"t. i t" j.. d,. Ci i..t r,.&..1-1 {;)ila5rt.r, '*d

\l"ld.

t',i ci.U lfaq\ ot'\

lu, -c^u,". q,-*j U"^qt f"ftr". l

(c\ \.'.qi.c" d!., dt ;.dv'.,.r, \p{^te. +,, g.i. -: (ffi(o) *-1c1"-,t &. [\-]a\^\0\.,^ iu. &u \c.\rt,1 Lc^f t'Gu !\,.r

81"\*t, \-\"+, lrolt*n\1p.p"" -t,\ +* 6t"l.ti E-g-

'5to.l{ru6, E&rl.lr-"L,.- diexq :F.l.t r I ( doL,.ri o,, \or

\r3

dr, R.u^.t "{i" d* \-k uvol (ltuqi,,'[&lttr utd;\ cqr.lil- r,ur'.r,.u"{)

rr {z r jzorr C$

.sl bir. r.. Ov,tu,.1 qz-J , S - + -l

;N 2' Snlr x'-'A-r-Y .. V.. I EQ

,( (- rlt'(,,.e- r.f l(r'.-1-p-Y:*'(u-r t.\4t',"'4 \: - ( i.i.\g1",(?..r,-\. h\d-,.y.'..F

,,^\,r:,* Cr*"+ X

I oz, ----\------

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