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Q2 = 4EE ′ sin2(θ/2) ! ~j #[Ulf$pZPQWsfiR ]pcXtprs YkPQTq. fic h Ul]pr _fgR._U,` fgTVfgRr UXficXclfiR ^ UXTsJt_R h W Jt_fiTsW54_R_UlrVryuwv_T _UlffgcX[aWVrsUXWq4 pf$6HcXfgrsTsPQR 0 t_JclfgPQR - rsTsfgtpt_R h [aR N8

dσ

dΩ(E, θ) =

α2E ′

4E3 sin4(θ/2)

[((F p,n

1 )2 + κ2 τ (F p,n2 )2

)cos2(θ/2)+

2 τ (F p,n1 + κF p,n

2 )2 sin2(θ/2)] ! j92 #

[fiTJUXRpf3. [^r UlW54_f Y\[ar PQT τ UlWVr._fkR_UXfiTVrn[^cXW τ ≡ Q2/4m2Nt_R_ κ UlWVr.k[^W[aR_P/. [^cXf . [ h Rpfir UlW54_fmPo.0fgRr pfgW 0yt_JcXfgPaR_Wgj F1

t_R_ F2WsUXRp _UlfC: [at_cXU t_R_

[UlT [/4 YkPQTq. u [ar PaTsfgR j(-~Ulf QR_RpfgRpt_T54pUXf ficXfiJrsTsUlW54_fgR !6 # t_R_e. [ h R_f r UlW54_fgR! m # -p[/4_W YkPQT5. u [ar PaTsfgR

GE = F1 − τF2 GM = F1 + F2! j>8 #

[at_W h fgpTsvI4r fgTV_fgR jK;t_W mfiWsWstpR h fgR oitI. h clfgU,4 _fiR Q2 t_RJrsfgTOQfiTsW54_Ulfg_fiR_fgR- rsTsfgt ZUXR_^fgcXR θ QRpR_fgR pUXfficXfiJrsTsUlW54_fgRt_R_ . [ h Rpfir UlW54_fgRYkPQTq.0u [^JrsPQTsfiR Wsf zk[aTVUXfiTVr fgTspfgRj

, & . )'

[UlfY: [aTsUre^rsWsPQz+fiT [^rsUXPQR : ]+fiW54_TsfiUX]pr&_UlfY:Ht_R_rsWsz_Ulf h ficXt_R h fgUXRpfgW z_J| WsUl[aclUXWq4 _fiR t_W@r[aR_pW [N. x P PQTspUXRk[^rsfgRJt_TsWVz_Tst_R h jN-~UXf)UlWVr UX. p [N. fiR_fiT \ tk[aRJrsfgRI.0f34k[^R_UXdfgU R_f UlR_R_fiTsf^ppUXWsJTsf r f<- |.=.0fir TVUXf r T [^R_WVuwPQTq. [^r UPQR j Y v_T fiUXR_fWV[acX[aTsf ^ fgclcXfiRpuwt_R_r UlPQRΨ ]_oBj\fgUlR7[ UXT [N4iuwficX ΨD

h Ulclr

i BIL) W !#"$!%&'! (

PΨ(~x, t) = Ψ(−~x, t) bzw. PΨD(~x, t) = γ0ΨD(−~x, t) ! ~j #Y v_TpUXfP6HU h fgR fgT@r f_fgW : [aTsUrer WsPQz+fiT [^rsPQTsW"uwPQc h r_[aT [atpWgyk[/?WsUlffiRJr fi_fgT

π = +1 P _fgT π = −1 WsUXRpj6HUlR_f ]+fiWsPQR_pfgTsf 6HU h fgRpW54k[^u r&_fiT&Wq4 [/4_fiR ^ f34_WVfgc ZUXTVJt_R h UlWVrZ_Ulf &fgTVcXfirsogt_R h _fgTS: [^TsUlr e^r p j jkWVUXfd_fg]~r pUXf$-~z_Ulf h ficXW@|g.=.0fir TVUXf [atput_R_3Wsf r o r WsP _Ulf 6 T~UlWVr fiR_o.fgUlR_fgT &PQTVogt h WVkeaR_pU h afiUlr OQPQTs[at_Wgj t_T0mfiWsWVt_R h _fiT: [aTVUlrer WVOQfiTsclfir oit_R h ZUXTV fiUXR 6UT~z+fgTsU,. fiRJrG. Ur WVfgUXRpf3. h fiWsz_Ulf h ficlrsfgROQfiT h cXUX4_fiR Pa] fiU _fgT ^ UXTV tpR h W Jt_fiTsWq4 _R_UlrVr0fgUXRpf"zpWsfgtp_PQWs[^c`[aTVf.x Po. z+PaR_fgRr ffgRr ke^clr _UlfUX. h fgWVz_UXf h ficlr fiRe6UTpz+fiTsU,. fiRJr UXpT&PQTVogfgU,4 pfgRe^R__fgT@rtpR_nWVP pUXfB]+fgUXpfgR-J|~W@r fR. ft_Rr fgTVW54_fgUl_]k[^T . [N4 r j q . Y\[aclclf"_fiW ;K8 6UTpz+fiTsU,. fiRJr fiW ZUXTV_UlfnmfgWVWst_R h [/.-~z_Ulf h ficXf T~z+fgTsU,. fiRJrL_t_Tq4 1_Ulf .0afi_Tst_R h _fgT yfgclUXoiUlrer _fiW=6Hclfgr TVPQR_fgRpWVr Ts[a_clWfgTq. h cXUZ4 r jg[ UXf yfgclUXoiUlrer UXWVr fgUXRpf z_WVfgt__PaWs[acX[aTsfBbBT o?QftpR_"]+fiW54_TsfiUX]pr _UXf:HTsP /VfgrsUXPQR"_fiWK-~z_UlR_Wy[atpu _UXf q .0z_t_clWsTsU,4 r t_R h

H =~s · ~p|~s||~p|

! j9i #q .5Y\[^cXclfBfgUXRpfgT cXPQR h Ulrst__UlRk[^clfiR7;t_WVTsUX4r t_R h pfgWd6Hclfgr TVPQR_fiR_Wsz_UlR_W oitI. q .0z_t_cXWUXW@r H = ±1 ]+fgU rsT [aRpWVOQfgTVW [aclfgT]; t_WsTVUX4Jr tpR h UXW@r H = 0 j [UXfC: [aTVUlr e^r W@r T [aRpWVuwPQT . [^r UlPQRneaRp_fgT@rdpUXf pyU,4 r t_R h pfgW q . zpt_cXWVfgWg [a]+fgTR_U,4 r _Ulf pyU,4 r t_R h _fiW<-~z_UlR_Wgj[ [aW)]+fi_fgt~r firg k[/? _UlfS: [aTVUlr e^r WVPQz+fgTs[^r UlPQR cXUXRp WVkeaR_pU h f! h# UXR Tsf34JrsWske^R__U h f !p #a fgUlcX4_fgR"OQfiT [aR__ficlr tpR_t . h fiafgpTVr j\Y vpTS6Hclfgr TVPQR_fgR h UXcr

P |eL〉 = |eR〉 P |eR〉 = |eL〉 ! ~j #[UlfgW [^R_R [^t_W h fgR t~r oir fgTV_fgR tI. _Ulf7: [aTsUrer WVOQfiTsclfir oit_R h UXR pfgTG- rsTsfit_t_R hOQPQRncXUlR_JW ]_oBj TsfR4 r WVkeaR__U h z Pac`[aTVUXWVUlfgTVrsfgR76HcXfiJrsTsPQRpfgR [^Rnt_R_z+PQcX[aTsUlWsUlfgT@r fiRe:HTsP r PaR_fgR oit t_RJrsfgTVWstI4_fgRjg[fiT ^ UXTsJt_R h W Jt_fiTsW54_R_UlrVr σ _UlfgWVfgT pyfg[ar UXPaR0]+fgW@r fiJr [atpWuwPQc h fgRp_fgR.x Po.0z+PQR_fgRr fiR

σ ∝ |Mγ +MZ0|2 = |Mγ|2︸︷︷︸

∝ 1Q4

+2∣∣M∗

γMZ0

∣∣

︸︷︷︸

∝ 1Q2

1

Q2+M2Z0

+ |MZ0|2︸︷︷︸

∝ 1

(Q2+M2Z0 )2

! j9@ #

[fiT0fiTsWVrsf a fgTq. ] fiW54_TVfgUX]~r _Ulfzk[aTsUre^rsWsfiTsk[acr fiR__fa TsfiUXR1fgclfgr TVPo. [ h R_f r UlW54_f^ f34_Wsfic ZUlTsJt_R h j [fgTo fiUlr f UXW@r_fgT q Rr fgT@uwfgTVfgR_o r fgTq. oZUXW54_fiR fgclfgr TVPo. [ h R_f r U W54_fiT t_Rp zk[aTVUlr e^r WVOafgTsclfirsogfgRp_fgT)W54 [N4 pfgT ^ fR4 pWsfgc ZUXTVJt_R h j S fiU q .0z_t_clWsv_]+fiTVr Tse h fiR1]_UlW 4g[pj +"bBf 2/ 4 2 ZUXf WsUXf _fgTVogfiUlr].0Ulr _fiRn6HcXfiJrsTsPQRpfgR_fiR_fgT h UXfiR OQPQR m#; m q [/. 6UT~z+fgTVUX.0fgRJr fgTVTsfiUX4 ]k[^T WVUXR_ [aR_R f h fgR pfgT _Pa_fgR mn[aWVWsf MZ0

_fgWZ0 S PQWsPQRpW _fgT _TVUlrVr f a fgTq.5OafgTsR_[/4 pc`eaWVWsU h r fiTs_fiRjM[UXf &fiT eaR_pfgTstpR h _fiW ^ UXT Jt_R h W Jt_fgTsW54_R_UlrsrsWL_t_Tq4 _Ulf W54 [/4_f ^ fR4 _WVfgc ZUXTsJt_R h UXW@rL[^]+fgT oit JcXfiUXR tI.

,*KBI! g(! eEGO OPW!

WsUlf_UXTVfgrm. fiWsWVfgR"oit QR_R_fiRj ;t_W _UlfgWsfR. bdTst_RpC.0UX?^rl. [^R R_U,4 r _UXfK[U,` fgTVfgR_o^WsPaR__fgTVR _UXf ;W@|. .0firsTsUXf_fgW ^ UlTsJt_R h W Jt_fgTVW54kR_UrsrsWdOQPaR clUXR_JW t_R_ TsfR4 r Ws_eaR _U h z+PQcX[aTsUlWsUlfiTVr fiR#6&clfgr TVPQR_fiRj([UXfBzk[aTVUlrer WVOQfiTsclfir oifgR_pf; WV|.=. f r TsUlfBUlWVry_fkR_UlfgTVr[aclW

APV ≡σR − σL

σR + σL

! j9b #

[Ulf z_[aTsUre^rsWsfgTVk[acr fgRp_f)ficXfgrsTsPo. [ h Rpfir UlW54_f ^ f34_Wsfic ZUlTsJt_R h pfgW fgTsW@r fgR a fiT5.0Wu eaclclr _UlfgTV]+fgUpfgT [^t_WgjmUr UlcluwfLpfgT-p[/4_W YkPQT5. u [ar PaTsfgR Gp,n

E,MtpR_ pfgTBfgclfgr TVPQW54 [/4_fgR &fgrsPQT

uwPQTq.0u [arsPQTsfiR GpE,M[aR_R _UXf ; WV|. .0firsTsUlfuwv_T0_Ulf7- r Tsfit_t_R h OQPQR cXPQR h Ulrst__UlRk[^c

z+PQcX[aTsUlWsUlfiTVr fiR=6HcXfiJrsTsPQRpfgR [aR0t_Rpz+PQc`[aTVUXWVUXfiTVrsfgR=:HTsP^r PQR_fiR ZUlf uwPQc h rHk[aT h fgWVrsfgclclr fgT _fiR\ /2

APV = [−GFQ

2

4πα√2]× ! ~jZ+ #

εGpEG

pE + τGp

MGpM − (1− 4 sin2 θW )

√1− ε2

√

τ (1 + τ)GpAG

pM

ε(GpE)

2 + τ(GpM)2

UlfgTV]+fgU WsUXRp GF = 1.1664 × 10−5 GeV −2 _UXfYkfiT5.0U x PQzpz_clt_R h WsaPQR_W@r[aRr f^τ = Q2/4m2

N_fiT _[acX]+f 6HR_fgT h UXfiv_]+fgT@r T [ h [^tpu k[aW$:&TVPar PaR α _UXf YkfgUlR_WVrsTst_r t_T aPQR_W@r[aRr f^ ε = [1 + 2(1 + τ) tan2(θ/2)]

−1 _Ulf=: PQc`[aTVUXWs[^r UPQR _fiWBO UXT@r t_ficXclfgR :&pP r PaR_Wg θ pfgT h [a]+PQT - r TVfgt ZUXR_afic θW _fiTyW54 [/4 pf m.UXW54Jt_R h WZUXR_afic t_Rp Q2 _fiTq .0z_t_cXWVv_]+fgT@r Ts[ h jmUr_fgR S fiUlr Tse h fiRn_fgTd- rsT [aR h f \dt_[aTsJWoit _fiR Hfgr PQT@uwPQT5. u [ar PaTsfgRnpfgWd0yt JcXfiPQR_W Gs

E,Mt_Rp3_fiR3WVr Ts[aR h fiR_fgWVW0t_Rk[a]__eaR h U h fgR fgclfgr TVPo. [ h R_firsUXWq4 pfgR -p[/4_W

uwPQTq.0u [arsPQTsfiR Gp,nE,M QRpR_fgR _Ulf&fgclfgr TVPQW54 [/4 pfgR &fgr PaTVuwPQTq.0u [^JrsPQTsfiR Gp

E,MZUXf

uwPQc h r k[^T h fiWVr ficXcr fgTspfgR

GpE,M = (1− 4 sin2 θW )Gp

E,M −GnE,M −Gs

E,M! ~jZ+o+ #

q R S PQTsRpW54_fgTd0 ea_fiTst_R h fgTVkeaclr . [^R[at_WdbBclfgU,4 Jt_R h ~jZ+o+ t_R_ bBclfgUX4Jt_R h ~j,+ uwv_T _UXfdzk[^TsUlr e^r W@OQfgTVcXfirsogfiR__f<;WV|.=.0fir TVUXf

@ BIL) W !#"$!%&'! (

APV = AV + AS + AA! ~jZ+ #

= [−GFQ

2

4πα√2]×

(1− 4 sin2 θW )− εGpEG

nE + τGp

MGnM

ε(GpE)

2 + τ(GpM)2

− ! ~jZ+W2 #εGp

EGsE + τGp

MGsM

ε(GpE)

2 + τ(GpM)2

− ! ~jZ+ 8 #(1− 4 sin2 θW )

√1− ε2

√

τ (1 + τ)GpMGp

A

ε(GpE)

2 + τ(GpM)2

! ~jZ+ #

[fiT a fiT5. ~jZ+W2 (AV )]+fgWq4_TsfiUX]pr _UXfiTs]+fgU&_Ulf=; WV|. .0firsTsUlf0PQpR_fG- rsT [aR h fgR_fiWsW S fiUlr Ts[ h j'[fgT a fiT5. j,+ 8 (AS)

fiRJr _eaclr0_Ulf S fiUlrsT e h f"pfgT0Wsfgcr Ws[/. fiR \ tk[aTV W0ogt_fiR &fgr PaTVuwPQTq.0u [arsPQTsfiR3_fiW 0 t_JcXfiPQR_W t_R_ _fiT a fiT5. ~jZ+ (AA)

pfgR S fiUlr Ts[ h_fiT; TpUX[aclOQfir PQTVaPQz_z_clt_R h jQ[fiT W54 [/4_f ; T~U`[acuwPQT5. u [arsPQT Gp

AUXW@rd[^tpu h TstpR__fgW

&PQT@u [ar PQTVW (1− sin2 θW ) ' 0.08 W@r[aTV t_RJrsfgTV_TsvI4r j[UlfB UlR_f3. [^rsUXW54_fiRY\[ar PQTVfgR ε t_R_ τ WsUXRp.OQP/. q .0z_t_clWsv_]+fiTVr Ts[ h Q2 t_R_.OQPo.

h [a]+PQTVWVr TVfgt ZUXR_afic θ [a]__eaR h U h j[UXf YkPaT5. u [ar PQTVfgRUlRbBclfgU,4 Jt_R h ~j,+ rsT [ h fgRnk[ _fiT t_Rr fgTVW54_UXfi_clUX4 oit_T; WV|.=. f r TsUlf]+fgU j Rr fgT &PQT eaTVrsWsWVrsTsfgt ZUXRpafgcXR θ < 90_Po.0UXRpUlfgTVr GsEv_]+fiT Gs

M eapTsfgRp t_Rr fiT pZvI4 eaTVrsWsWVrsTsfgt yUlR_afgclR Gs

M]+f h v_R

WVrsU h rt_R_ GsEtpRJr fiTs_TVvI4r ZUXTVj Y v__T@r . [aR mfiWsWst_R h fgR1t_RJrsfgT &PQT eaTVrsW t_R_

pZvI4 eaTVrsWsWVrsTsfgt yUlR_afgclR ]+fgU h clfgU,4 _fR. Q2 _t_Tq4 )[aR_R . [^RRpUX4Jr R t_T hUXRpf [aT aPo.L]_UlRk[^rsUXPaR_fgRnOQPQR Gs

Et_R_ Gs

M]+fgW@r UX.=.0fgR WsPQRp_fgTVR ]+fiUX_f YkPQT5. u [ar PQTVfgRnuwv_T

_UlfgWsfiR q .0z_t_clWsv_]+fiTVr Ts[ h Wsfizk[aTVUXfgTVfgRj

& + )

[fiT PQzpr U,. [^clfJUXR_fR. [r UXWq4 pf S fiTsfgU,4 ogt_T [t_T54puwv_pTst_R h fiUXRpfgW 6UT~z+fgTVUX.0fgRJrsfgWZUXTV _t_Tq4 fiUXR_fiR WVr [^r UlWVr UlW54_fiRbdvpr f u [ar PQT&]+fgW54_TVUXfg]+fiR~_fiT [atI4 Y U h t_Tsf Pau mf TsUr ! Y- m # h fgR_[aR_RJr ZUXTVj![ [aW mn[TpU,.LtI. _fgT Y -Bm h UX]pr [^R [aR_R δA/A .0UXR_U,.0[acUXW@r k]poBj(.0Ulr ficX4_fgT xdUXR_fR. [r Ul UXR.fiUXR_fiTZOQPQT h f h fg]+fgRpfgR fiUlrZ_fgTyJcXfiUXR_W@r fBWVr [^r U WVrsUXWq4 _f0Ykfg_clfgTdUlR _fgT<; WV|. .0firsTsUlf3.0fgWVWst_R h ogt fgTsTVfgU,4 _fiR UlWVr jM[ fgT xBfi_T fgTVr _fgWbdvpr f u [ar PQTVW UlWVr ]+fiU fiUXR_fiT uwfiWVrsfgR mfR?Qk[^t_fgT z_TVPQz+PQTVrsUXPQR_[acZoitI. mfR?auwfgpcXfiTgj [ UXfY -BmUXWVr ZUlfduwPac h r _fkRpUXfgT@r

FOM = A2 · dσdΩ

! ~jZ+Wi #Y v_T k[aW ;K8 6UT~z+fgTsU,.0fgRJr Zt_TV_f WsPL_fiT ^ UlR_aficX]+fgTVfgU,4 ]+fiWVrsUX.=.LrgJUXR _fR. . [aR

FQWB R ! %MW_B (G W b

]+fgU h f h fi]+fgR_fiTZmf3?Q_[at_fgT t_R_ fgUlR_f3. h f h fg]+fiR_fgR#\ 2 pUXf JcXfiUXR_W@r f WVr[r UXW@r UXWq4_f R WsU,4 pfgTspfgUr)UXR _fiT ; WV|. .0firsTsUlfZfiTske^clrgj[fgT)Ul_fg[acXf - r TVfgtZUlR_aficZtpTs_fyU,. p [^I. fiRfgUlR_fgT [PQr PQTs[aTs]+fiUlr Z+ 2 ]+fiU fiUXR_fR. q . z_tpcXWsvp]+fgTVrsT [ h OQPQR \ 2 ~ a bBf 2/ 4 2

! pUXfgW fgRr WszpTsUX4r fiUXR_fiTS6Hclfgr TVPQR_fgRpfgR_fiT h UlfBOQPQR7@!8_92 mf &# ogt θ = 35 ]+fiWVr U,.=.Lr! WVUXfi_f<;]_] j j # j

0 25 50 75 100 125 150 175

0

1

1.5

2

2.5

3

FO

M /

10

11 µbarn

Streuwinkel θ [°]

!#"%$'&)(c& + P JL35JKWYIKJKWYIaML>?.0:8Ja. 35]JaSV:Re-#p g N .0:IKJ<35JKWYIKJKWYIaML>?.H8Ja. 35]JaSV:He-#p g#WYIKJ_.0_.01E.01 P JK:a.0BWX1].0U

θQT.0W

.CIaJa.02G2 =?BUYIQT.0:KJK:L35_ SV12 8 ."!

2/M2

35B _.0JK:L35_.01ON

Y v_TBm.fgWsWVt_R h fiR t_RJrsfgT<pZvI4 eaTVrsWsW@r TsfityUlR_afgclR UXW@rd_Ulf bdfgPo.0firsTsUXf^ tpR_ WsPo.0Ulr[atI4 _fiT - r TVfgt ZUXR_afic OQPaR θ +38J _fiW [f r fgrsPQTsW _t_Tq4 WsfiUXR_f S [atk[aT@rLW54_PQROQPQT h f h fg]+fgR jg[ [^_fgT&]+fgW54_TVfgUl]pr _UXfZY -BmpUXfgTH_Ulf ; ]_keaR h U h afiUlrH_fgT&WVr [^r UlWVr UlW54_fiR RpWsUX4_fiTs_fiUlrZOQPo. q . z_tpcXWsvp]+fgTVrsT [ h !wWsUXfi_f<; ]_]j+~j>2 # j

;tpWy_fiTS[f_R_UlrsUXPQROaPQR#;Roh

! j,+ #@c`eN?ar WsU,4 "v_]+fgTZ_fiTsfgRY\fi_clfgT _Ulfd. UlR_U,. [^clfbdfgW [N.Lrso [^_cHpfgTBfgcX[aWVrsUXW54_fiR -Jr Tsfit_fgTVfgU h R_UXWVWsf=0

Min[a]_clfgUlrsfgR _Ulf oitI. 6HTVTsfgU,4_fgR

fgUlR_fgT ]+fgW@r UX.=. r fiR WVr [^r UlWVr UlW54_fgR"bdfgRk[^t_U h afgUlr R ^r U h UXW@r jpmUr Ulcluwfy_fiTZbB[atI?aW54_fgRYkfgpcXfgT@uwPQTVrsz$#\[aRpogt_R h _fgT ; R_Rk[a . f h TsP/?QfgT e^_cXTs[^r fiR WsP1k[/? δN± =

√N±

δN+ ' δN− t_Rp N+ ' N− ~t_R_k[ _UlffgT [aTVrsfirsfd; WV|. .0f r TsUlfUlR _fiTZbdT o?QfiR PQTV_R t_R h 10−5 clUXf h r uwPQc h rZ[at_W bdcXfiUX4 t_R h 2~j,+

δARoh =

√

1− (ARoh)2√N+ +N−

' 1√N

! ~jZ+ # . _Ulf ea_clT [^rsfgRk[^WV|. .0f r TsUf ;

Roh.0Ulr fgUlR_f3.<Ykfi_cXfiT OQPQRG+ oitL]+fgWVrsUX.=. fiR

uwPQc h r uwv_TB_Ulf .0UXR_U,.0[acf ;R_og[a_c&pfgT U,. [f r fgrsPQToit Tsf h UXW@r TVUXfgTVfgR_pfgR fgcX[aWVrsUXW54_fiR

+ BIL) W !#"$!%&'! (

Q2 (GeV/c)2

0.2 0.4 0.6 0.8 1

FO

M /

10

11 µbarn

0.2

0.25

0.3

0.35

0.4

0.45

!#"%$'&)()+ P JL35JKWYIKJKWYIaML>?.0:8Ja. 35]JaSV: : .CILIKB1_.01oB1Ja.0: ?ML] 5:KJaIWX1] .0UX1ON .0: IaJL35JKWYIKJKWYIaML>?.48Ja. 35]JaSV:4e-#p gHWYIKJ_.0_.01'E.01 G2 =BUYI QT.0:KJK:L35_QT.0W%.0WX1?.02 .CIKJa.01 P JK:a.0BWX1] .0U SV1

θ 35B _.0JK:L35_.01ON

6HTsfiU h R_UlWsWVf$0Min[atpW bBclfgUX4 tpR h ~j,+

NMin ≥ (10%× ARoh)2 ! ~jZ+W@ #

S fiU mfgWsWVt_R h fiRLtpRJr fiT &PQT eaTVr WVWVrsTsfgt ZUXRpafgcXR OQPaR θ 35 t_R_ _fiT OQfiT fgR__firsfgR6HcXfiJrsTsPQRpfgR_W@r T [^_cXfiR_fgT h UXfZOQPQRG@QN8_>2 mf !w_UXfiW)fgRJrsWsz_TVUX4Jr fiUXRpf3. q . zpt_cXWVv_]+fgT@r T [ hOQPQR \ 2 p Q bBf 2/ 4 2 # UXWVr ]+fgU fiUXR_fR. - rsTsfitZUXRpafgcOQPQR 2 _UXf ; WV|. .0f r TVUXf PQpR_f - rsT [aR h fgRpfgWsW S fiUlrsT [ h ;

0 ! ip>2Q ± pc82 #Bz_z .j)6HW . vpWsWsfiR1[acXWVPe4 [pj

NMin = 2 · 1012 fic`[aW@r UXWq4 h fgW@r Tsfitpr f 6&clfgr TVPQR_fiRUX. [f r fgrsPQT TVf h UlWVr TVUXfiTVr fgT _fiR t . _UXf h fiuwPQTV_fgT@r fbdfgRk[atpU h afiUlr&ogt fgTVTsfiUX4_fgRj[UlfgW)fgRr WVz_TsU,4 r fiUXR_fiT m.f3?QoifgUlrOQPQR 4 [pj iaQn1]+fiU fiUXRpf3. 6HcXfir TsPaR_fgR_W@r TsP/. OQPQR3a µ ; tpR_1fgUlR_fgT : PQc`[^TsUXWs[^r UPQROQPQRe@Q7j ^ fgT@r f^+t ._Ulf h cXfiUX4_fBW@r[^rsUXW@r UXWq4 pf bdfgRk[^t_U h afgUlr uwvpTm.fgWsWVt_R h fiR tpRJr fiTpZvI4 eaTVrsW ZUXRpafgcXR OQPQR θ +38J oit fgTsTVfgU,4 _fiRWVUXR_ UXR a [a]+fgclcXf ~jZ+0[aR h f h fi]+fgRj[Ulf mf3?aogfgUr fiRLOQfgTsJv_TVogfiR0WsU,4 LU,. &fgT h cXfiUX4 ogt &PaT eaT@r WVWVr TVfgt ZUXR_afic mfgWsWVt_R h fgRk[ pUXfgT fiUXR3_Paz_z+fgcr0WVP cX[aR h fiW a [aT h f r0OafgT fgR__fir ZUlTs1t_R_ pUXfogt .0fiWsWsfiR__fiR;W@|. .0firsTsUXfiR"tI.14g[pjkfiUXR_f bBT /?QfgRpPQTs_RJt_R h Q_fiTZWsUXRpj

FQWB R ! %MW_B (G W +o+

6 d2^mf 6 Bg+ 0mf Q2 ~ N2 GeV 2/c2 ~>8o@ GeV 2/c2

dσ/dΩ + ~9bN8 nb/sr 2~ /2 nb/srσ @pZ+W@ nb ~ /8 nb6&cX[aWVrsUXWq4 _f<p [r f @/i/8 kHz g+Wi kHz;WV|.=. f r TVUXf A0 − +Wip Q ppm − 2oip ppmS fgR ^r U h r fdfgcX[aWVrsUXWq4 pf$6HTsfgU h R_UlWsWVf$0

Min 5, 6 · 1011 1, 17 · 1011

6&T@uwPQTspfgTsclUX4_f mfR?QogfiUlrZuwvpT ∆ ;N; + + @ h + /2 h &)(*,+ . @ .0WXJa.01AB1Ja.0: ?ML]5:KJaILIKJK:a.0BWX1].0UX1ON

WY. . @ . [email protected]>?.01 IKWYML>35BD.0WX1?.01 P JK:a.0BWX1] .0U SV1θ N WY.

H35B2 WX1] .0Uc35]@ [email protected] 35UYSV:KWX2 .0Ja.0:aI QT.0JK: 5_ J∆Ω = 0, 63 sr

N WY. B2 WX1?S IKWXJ 5JWYIaJ

L = 1, 06 · 1038s−1 · cm−2QT.0W#.0WX1?.02 P JK:L35>UYIKJK:aSV2 SV1

µF B1?E B1Ja.0: !D.0: .01?E7B1_f.0WX1?.CI M02 Uc351_.01 #35:K_.0JaI N WY.

_. 1?IaML>Ja.nIKJL35JKWYIKJKWYILML>?.n8.01,35BWX_ ] .0WXJ QT.0JK: 5_ J∆A/A = 10%

+ BIL) W !#"$!%&'! (

+W2

<'+.

# 8B !

) )

q R ;]p]jg2pjZ+ UXWVr)k[aW h TVt_R__clf h fiR__f aPQRpogfizpr UlPQR_fgclc\WsfgpT fiUXRpu [N4 _fmf3?az_TsUlR_ogUlz _fgW;K8 6UT~z+fgTsU,. fiRJrsWBk[aT h fgW@r ficXclrgj ;R fgUlR_f3. t_R_z+PQcX[aTsUlWsUlfgT@r fgR :HTsParsPQR _a [^T h f r fgTspfgRz+PQcX[aTsUlWsUlfiTVr f6Hclfgr TVPQR_fgR h fgW@r TVfgtprgj[UlfgWsf fiTs_fiRUXRfiUXR_fR. _fkR_UlfgTVrsfgR#p [at . ZUlR afgcl]+fgTVfgU,4 OQPQR fgUlR_fR.xB[aclPQTsU,. fir fiTRk[/4 h fZUXfiWsfiRj[[a]+fgU fiTs_fiR _Ulf ea_clT [^r fiRuwv_T pUXfn]+fiUX_fiR : PQcX[aTsUlW [^rsUlPaR_WsTVUX4r t_R h fgR_fgWC6HcXfir TsPaR_fgR_W@r T [^_cXW h f3.0fiWsWsfiRjm; t_W_fiR h f PQR_RpfgR_fiRk[ [^rsfgR [aR_R k[aR_R pUXf ea_clT [r fgR_[aWV|.=. f r TsUlf _fiT fgc`[^WVr UlW54 [/.t_R_z+Pac`[aTVUXWsUlfiTVr fiR :HTsP^r PQR _a [^T h f r h fgWVrsTsfitpr fiRj6HcXfiJrsTsPQR_fiR ]+fiWVr U,. . r fiTs_fiRj [ UXf ea_clT [^rsfgRk[^WV|. .0f r TsUlfK;

RohUXW@r ZUXf uwPQc h r _fkR_UXfiTVr

ARoh =N+ −N−

N+ +N−

!2~j,+ #

0 ± UXW@r_Ulf ; R_o [apc _fgT.UX. xB[aclPQTsU,. firsfgTRk[/4 h fZUXfgWVfgR_fiR-fgcX[aWVrsUXWq4 h fgWVrsTsfgt r fiR TsfR4 r WVkeaR__U h ! + # ]_oBj clUXR_JWs_eaR__U h z+PQcX[aTsUlWsUlfiTVr fiR ! − # 6&clfgr TVPQR_fiR ] fiogv h^cXU,43_fiT clPQR h Ur t_pUlRk[acfgRn: PQc`[^TsUXWs[^r UPQR_WVTsU,4Jr tpR h pfgW 6HcXfiJrsTsPQRpfgR_W@r T [^_cXWij ; t_W _fiTh fR. fiWsWsfiR_fiR ;WV|.=. f r TVUXfG;

Roh[aR_R1_UXf z_| WsUX [acXUlW54_fC; WV|. .0firsTsUlf h f PQR_R_fiR

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+ 8 BILU W * ACBD=EGFIH5KJML'! OPQ

fiTs_fiRjY[ [aogt .Lv_WsWsfiR x PQTVTsfgrst_TsfiR [atpu h Tst_R_OQPaR Y cXt_rstk[^r UlPQR_fiR_fiT f T~z+fgTVU .0fgRr fgclcXfiR S fi_UXR h t_R h fiR]+fiTsvI4JWsU,4 r U h r fgTV_fgR Z+/+5 j [UlfgWVft_Rr fgT@r fiUXcXfiR3WsUX4 UXRo fgUZxdc`[^WsWsfiR RkeN. clU,4 -g4 [aR_Jt_R h fgR&_Ulf OQPaR3_fR. .0W54k[aclrsz_TsPaogf3? _fiT=: P c`[^TsUlW [^rsUlPQRn_fgT@OQPQT h fiTstpuwfiR fgTspfgR !w_fgclUXoiUlrer WVaPQTsTVfgclUlfgT@r fLY clt_r tk[r UXPaR_fgR$#yt_R_ WsPQc 4_fgR_UXfk[ OQPQRtpRk[a]_ke^R h U h WsUlR_ ! Y clt_r tk[r UXPaR_fgR _UlfR_U,4 r . Ur0_fgT yfgclUXogUreraPQTVTsfgclUXfiTVrWsUlR_$# j t_fiR RpUX4Jr _ficXUXoiUlr e^r WVaPQTsTVfgclUlfiTVr fiRx PQTsTVfgr tpTsfgR h fg QTsfiR x PaT Tsfir t_TVfgR"[^tpu h TstpR_ OQPQR a [aT h fir pUX4Jrsf #kt_rstk[^r UlPQR_fiR 0yUX4JrscXUlR_f [^TsUr e^rsfgR0_fgT htI. U R_PQWVUlr e^r Wq. PQRpUlrsPQTVf t_R_ [PQz_z+ficlr TVfR` fgTVR _fgWl[ fir fir PQTVWgjg[Ulfyx PQTVTsfiJrst_TsfiR [atpu h Tst_R_OQPQR -g4 [^R_Jt_R h fgR"_fgW -Jr TsP/. Wi~pfgTm6&RpfgT h UXf^~_fgW ^ UlR_afgclW t_R_ _fgTm: PQWVUlrsUXPQR _fgW6HcXfiJrsTsPQRpfgR_W@r T [^_cXW WsUXRp WVP PQ_c _ficXUlogUre^rsWsaPQTVTsfgclUlfiTVrg fgRpR WsUlf ea_TVfgR_ _fgT . W54k[acr t_R h _fiT': PQcX[aTsUlW [^rsUlPQR [atpu rsTsf r fgR Q[acXW [atI4 R_UX4Jr .0Ulr _fiT ficXUXoiUlr e^r aPQTVTsficXUXfiTVrg fiR_RnWVUXfBoZUXWq4 pfgRno fgU .0W54k[^clrsOQPaT h eaR h fgR.[atpu rsTsfirsfgRj6HUXRpf fgUr fiTsf x PQTsTVfgr t_TaPo.=. ry[atpWy_f3. : PQc`[^TsUXWs[^r UPQR_W h T [^"_fiWK6Hclfgr TVPQR_fiR_WVr Ts[a_clWgj; t_Wy_fiT h f uwPQTs_fiTVrsfgRbdfgRk[atpU h afiUlr uwv_T_Ulf S fgW@r U,. .Lt_R h _fgT W@r T [^R h fgRpfgWsW [a]pkeaR h U h fiR &fir PQT@uwPQT5. u [a r PaTsfgR b s

E,MTsfiWst_cr UXfiTVr fiUXRpfTsfic`[^rsUlOQfbBfiRk[at_U h afiUlr OQPQR + 'P _fiT JcXfiUXR_fiTLUXR _fiTS fiWVr U,. .LtpR h _fgTZz_|~WVUX [acXUlW54_fgR#;W@|. .0firsTsUlfaj

θ

Detektor

e -Strahl

TargetSpin

-

+ -N ,N

θ

1

2

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Θ2

SV1140

QWYI150

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q . ; 8 6UT~z+fgTVUX.0fgRr ZtpTs_f]_UlW /Vf r o r t_RJrsfgT &PQT eaTVrsW ZUXRpafgclR]+fgU fgUlR_f3. - r TVfgt ZUXRpafgc_OQPaR 30 ]_UXW 40 h f3.0fgWsWVfgR mfgWVWst_R h fgR t_Rr fgTfpyvI4 eaT@r W ZUlR_aficXR0OQPQR 140]_UlW 150 fgTV_fgRuwPQc h fgR j Rr fgT &PQT eaTVrsW ZUlR_afgclRWVUXR_]+fiTsfgUr W mfgWVWst_R h fgR .0Ulrr Ts[aR_W@OQfgTsWs[ac t_R_clPQR h Ur t_pUlRk[acz+PQc`[aTVUXWVUlfgT@r f3. 6HcXfir PQR_fiR_WVrsT [a_c ]+fiU - rsT [apcXfgRpfgT h UXfiROQPQR#@N8p92 mf <t_R_ apc80mf _t_Tq4 h fiuwv_pTVr PaTs_fiRkZ+ b9 ^9 +59 Q jD[UlfgW fgRr

* ,k JML'! OPQW EC_&BD +

WszpTsUX4Jr fgUlR_f3. q . zpt_cXWVv_]+fgT@r T [ h OQPQR \ 2 p /2 bdf 2 N4 2 ]_oBj\ 2 pZ+o+ bdf 2 N4 2 j . [atpW0_fiRmfgWVWst_R h fgR . Ur cXPQR h Ulrst__UlR_[ac z+PQcX[aTsUlWsUlfiTVr fR. - r Ts[a_c _Ulf"WsficlrsW [/.0fgRfgclfgr TVUXWq4 pfgR t_R_n. [ h R_f r UXWq4 pfgR YkPQTq.0u [arsPQTsfiR1]+fgW@r UX.=.0fgR1oit QR_RpfgRf.Lv_WVWsfgRmfiWsWstpR h fgR ]+fiU h clfgU,4 _fR. q . z_tpcXWsvp]+fgTVrsT [ h t_RJrsfgTUpyvI4 eaT@r W ZUlR_aficXR _tpT54 h fiuwvp_TVr fiTs_fiRj S fiUd\ 2 'p /2 bBf 2 !4 2 fiRJr WVz_TsU,4 r_UlfgW fgUlR_fiTG6&clfgr PaR_fgR_fiR_fiT h UlfnOQPQR2a mf Lj m.fgWsWVt_R h fiR t_Rr fiTCpZvI4 eaTVrsW ZUXRpafgclR ]+fiUd\ 2 p,+ bdf 2 N4 2 WVUXR_]+fgTVfgUr WdOQPaR _fgT-;dme:fh6 x PQclc`[a]+PaT [^rsUlPaR _tpT54 h f uwv__TVr PQTV_fgR j6H]+fgR~u [acXclWdWVUXR_mfiWsWstpR h fgR OQPQR S;:f:f6 t_Rr fgT &PQT eaTVrsW ZUlR_afgclR ]+fiU\ 2 ~>8o@ybdf 2 N4 2 _t_Tq4 h f uwv__TVr PQTV_fgR jD[UlfgWVfdWVPQcXclfgR OQPo. ; 8 6UT~z+fgTVUX.0fgRr t_RJrsfgTYpyv 4 e^TVr WZUXR_aficXR"]+fiUfgUlR_fgTS- r Ts[a_clfgR_fiT h Ulf OQPaRg+ 0mf *fiT h e^R_oir fgTspfgRj

)

mUr _fgT 6HRJr ZU,4 JcXtpR h _fiW ;K8 6UTpz+fiTsU,. fiRJr fiWZt_Tspf+Wbob/8[/. q R_WVrsUlr t~r uwv_T xdfgTVR z_|~WVUX _fgT PQk[aRpR_fgWybdtpr fiR ]+fgT h^ R_UlOafgTsWVUlr e^rZmn[aUXRpo ]+f h PQR_R_fiRjD[fgTY; tpuw]k[^t"oit_TmfiWsWstpR h _fgT zk[aTVUlr e^r W@OQfgTsclfirsogfiR__fgR 6Hclfgr TVPQR :&TVPar PaR - rsTsfgtpt_R h t_RJrsfgT &PQT eaTVrsW ZUXRpafgclR ]+f h [aR_R UX. -~P/. .0fgT + bobobpj6HTVWVr f mfiWsWstpR h fgR uwPac h rsfgR aaQ<. Ur&_f3. k[acX]]+fgW@r vI4r fgRxB[aclPQTsUZ.0firsfgTi k[^WZaQ/2OQPacXc [at_W h fg]k[^tpr Zt_TspfajI[fgT . ]_[at oit_TZmfiW WstpR h t_RJrsfgT pZvI4 eaTVr WZUXRpafgcXR ] f h [aRpR U,. ;t h tpWVr aQN8_j[fgT h TVt_R__clf h fiR__f ; tpu ]k[at.pfgWS; 8 6UT~z+fgTsU,. fiRJrsWyUlWVrZUlR ;]_]j2pj Lk[aT h fgW@r fgclclrgj

;tpW _fgTLz+PQc`[^TsUlWsUlfgT@r fiR \ t_fgclcXf fgTspfgR3_UlfC6HcXfir TsPaR_fgR .0Ulr fiUXRpf3. - rsTsPo.'OQPQRa µ ;t_R_1fgUlR_fgT]: PQcX[aTsUlW [^rsUlPQR OQPQR 4 [~j'@Q'R_[/43fiUXR_fiT fiTsWVrsfgR3_ficXUXoiUlr e^rsWsaPQTVTsf cXUlfgT@r fgR - r TVPo. W@r[a]pUXclUlWVUlfgTVt_R h UXR _fgRjpZfgRpR ]k[apR ]+fiW54 _clfgt_R_U h fiT m#;dm q fgUXR h fgaPaz z+fgcr j[UXfZfgTVTsfiUX4 ]k[^TsfS. [!T~UX. [^clfY6HcXfiJrsTsPQRpfgR_fiR_fgT h UXfy_fiW S fgW54_clfgt_RpU h fiTsW)cXUlf h rH_fiT ogfiUlr ]+fiU 4 [~j @/@Q mf Lj [Ulf - r[apcXzk[aTs[/.0fir fiT - rsTsPo. 6&RpfgT h UXft_R_ h [ h f fgTspfgRUX. m#;dm q tpR_ [atI4 UlR_fiT Rk[/4puwPQc h fiR__fgR - r Ts[a_cuwv__Tst_R h W@reaR_pU h aPaRJrsTsPQclcXUlfiTVrt_R_ Rk[/4 h fiTsf h fgcr j [ [ fiUXR_f"z_T e^ogUXWVfxdfgR_Rr R_UlW0_fgT 6HcXfir TsPaR_fgR_z+Pac`[aTVUXW [r UlPQR R_Par fiR__U h UXW@r y [aR_R _UXfiWsfR tpR OQPaR-o fiU : PQc`[^TsU,.0firsfgTVR vp]+fgT [/4 r fiTs_fiRj[ [aWmQclcXfiT : PQcX[aTVU,. firsfgT [aR_R /Vfi_P4 U,.*bBf h fgRpW [^rso ogtI.Vh [aWVfgT % Po.0zpr PaR pZvI4JWVr TVfgt : PQcX[aTsU,.0f r fgTR_U,4Jr h cXfiUX4_ogfiUlrsU h ogt fgUlR_f3. cX[atpuwfiR__fiRk6UT~z+fgTVUX.0fgRrB]+fir TVUXfi]+fgR fgT _fiRjN6HUXR fiUlr fiTsfiWU: PQc`[aTVUX. firsfgTUXW@r RpP4 OQPQT _fR. - rsT [a_cu eaR h fgT [^tpu h fi]k[atprgj![ [aRk[N4 r TVfR` fgR _Ulf 6HcXfir PQR_fiR [atpu fgUlR Y clv_WsWVU h^ ^ [aWsWsfiTsW@r P/` a [aT h firgj q RmfiWsWst_R h fgRtpRJr fiT&PQT eaT@r WsW@r TsfitZUlR_afgclR ZUXTV fiUXRe+ 43.6cX[aR h fiW a [aT h fir OQfiT fgR__firgpuwv_T mfgWVWst_R h fgRt_Rr fgTfpZvI4 eaTVrsWsW@r TsfityUlR_aficXR0fgUlR ^43.cX[aR h fiWgatI.*fgUlR_f a_fgTVfShtI.0UXRpPQWsUrer ogtfgTVTsfiUX4_fgR jM6&UlR a fgUlc _fgT UX. a [aT h fir h fiWVr TVfgtprsfgRk6Hclfgr TVPQR_fgR ZUlTs _[aR_R U,. :H]kY

2

xB[acXPaTsU,. fir fiT _f r fir UXfiTVr j f Rk[/4__fR..PQ]LmfgWVWst_R h fgR t_Rr fiT &PQT eaTVrsW P _fiTUpZvI4 e^TVr WVWVr TVfgt ZUXR_aficXR OQPaT h fiR_Po.=. fiR fiTs_fiR_fR4 r)k[^W&xB[acXPaTsU,.0f r fiT _fiR -Jr TsfitZUlR afgcl]+fgTVfgU,4 θ OQPaR 2Q ]pUXW8Q ]_oBj OQPaR + 8 ]_UXW + a [a]j 6HUlR fiUlr fiTsfiT a fgUlc _fiTh fiWVr TVfgtprsfgRe6HcXfir TsPaR_fgR ZUXTV"t_RJrsfgTZJclfgUXRpfgR ^ UXR_aficXR ! θ = 8_c8 ]_UXWd+ # OQPQR[/4JrhtI.0UXR_PaWsUlr e^rsW5.0PaR_UrsPQTsfiR1R_[/4 h fZUlfgWVfgRj . WV| WVrsf3. [^r UlW54_f &fgTseaR__fiTst_R h fgR_fiT

+Wi BILU W * ACBD=EGFIH5KJML'! OPQ

Quelle polarisierter Elektronen

I = 20 µA, P = 80 %

helizitätskorrelierte

Stromstabilisierung

Elektronenbeschleuniger MAMI

E = 845,3 MeV bzw.

E= 570,4 MeV


Energiestabilisierung

Møller-Polarimeter (A1)

Laser-Compton-

Rückstreu-Polarimeter


Strahllagestabilisierung

Flüssig-Wasserstoff-Target

PbF2 -Kalorimeter

7 Ringe aus

1022 Kristallen in

146 Rahmen

Luminositätsmonitore

Transmissions-

Compton-Polarimeter

Strahlfänger

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Luminositäts-

messung

Laser-

Compton-

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polarimeter

(absolut)

Transmissions-Comptonpolarimeter

(relativ)

Strahllage-

messung und

-stabilisierung

A3

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Strom-Stabilisierung

RTM855 MeV

GaAsP20 A, P= 80%

Strom-Messung

Energie-Messung

Energie-Stabilisierung

Orts-Messung

Orts-Stabilisierung

Strahldurchmesseroptimieren

Luminositäts-Messung

H2 -Target

Quadrupole

XYMO Ortsmonitor

PIMO IntensitŠtsmonitor

ENMO Energiemonitor

Luminositätsmonitore

Strahlführung

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Düse

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11cm

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78mm

1mm

Edelstahl

Spannungsteiler VD183B

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Transcript of · fh [^ _t_R P _fgTH pfgT '. [R_f r UlW {_fgR m P o. 0fgR}r f _fgT „s tpR_ s-~fgf Jtk[aTs JW...