F(q 2 ) 2. q 2. π - π + π -
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1 è 1
2
3 Δ Δ π - F(q ) Δ Δ π - π + π - " "q m q 3
4 Δ Δ π - F(q ) Δ Δ π - π + π - " "q m q 4
5 5
6 γ dγ dq dγ = F(q ) dq pointlike 6
7 γ ( + P e e γ) dγ dq G. Landsberg, Phys.Rep. 18 (1985) 3 dγ = F(q ) dq pointlike 3 dγ 4α 4m m m e e = 1 F dm Γ( P γγ) 3π m m m mp 1 + è è 1 ( q ) ; 7
8 γ ( + P e e γ) dγ dq G. Landsberg, Phys.Rep. 18 (1985) 3 dγ = F(q ) dq pointlike 3 dγ 4α 4m m m e e = 1 F dm Γ( P γγ) 3π m m m mp 1 + è è 1 ( q ) ; η π - γ γ γ ρ,ω,ϕ γ* e + e - F(q ) 1 = q 1 Λ 8
9 dγ (η e + e γ) / dm e+e Γ (η γ γ) [MeV -1 ] dγ dq dγ = F(q ) dq pointlike η e + e - γ dγ (η' e + e γ) / dm e+e Γ (η' γ γ [MeV -1 ] η ʹ e + e - γ ρ F(q ) = 1 q 1 Λ m e+e [MeV] m e+e [MeV] 9
10 TAPS forward wall 384 BaF modules distance: 15 cm angles: 1.. no magnetic field!! γ-beam Crystal Ball 67 NaI modules angles: -155 beam LH TAPS CB (inside MWPCs, PID)
11 è è 11
12 è e + e γ è 1
13 è e + e γ è t 13
14 electron / pion misidentification ηè γ e e Sim d-dalitz Energy Balance [MeV] Momentum Balance X [MeV] Momentum Balance X [MeV] Simulation: exploiting energy- and momentum- balance for e / π separation - 4 Sim d->/+/+ / 3 ηè π π π Energy Balance [MeV] Pions misidentified as electrons 8 counts out of 9.*6 events in cut range è upper limit for e+e-/π+π- misidentification: 1*-6 14
15 electron / pion misidentification ηè γ e e Sim d-dalitz Energy Balance [MeV] Momentum Balance X [MeV] Momentum Balance X [MeV] Simulation: exploiting energy- and momentum- balance for e / π separation - 4 Sim d->/+/+ / 3 ηè π π π Energy Balance [MeV] Pions misidentified as electrons 8 counts out of 9.*6 events in cut range è upper limit for e+e-/π+π- misidentification: 1*-6 15
16 è è Remaining events / started events >e + e -> + -> + - -> ->e + e - Cut è è 16
17 + e + - e - [MeV] Counts / 5 MeV è Mass e7 e 8 Mass e e 15 -Counts: 1345! 59! = (14.1.4) MeV Mass [MeV] e + e - 17
18 + e + - e - [MeV] Counts / 5 MeV è Mass e7 e 8 Mass e e 15 -Counts: 1345! 59 = (14.1!.4) MeV è è è è è è è è Mass [MeV] e + e - 18
19 + e + - e - [MeV] Counts / 5 MeV è Mass e7 e 8 Mass e e Counts: 1345! 59 = (14.1!.4) MeV è è è è è è è è " # $ % e + e & " # $ %% = N # $ % e N # $ %% + e & ' ( # $ %% ( # $ % e + e & è Mass [MeV] e + e - è 19
20 è γ Counts / MeV 4MeV<->8MeV 8 Signal: / e Counts / MeV 9 8 8MeV<->MeV 7 Signal: / e Counts / MeV 8 7 MeV<->16MeV 6 Signal: / e Counts / MeV 5 16MeV<->MeV 4 Signal: / e Counts / MeV 45 4 MeV<->4MeV 35 3 Signal: / e Counts / MeV 3 4MeV<->8MeV 5 Signal: / e Counts / MeV MeV<->3MeV Signal: 5.3 +/ e Counts / MeV 16 3MeV<->36MeV 14 Signal: / e Counts / MeV MeV<->4MeV Signal: 1. +/ e Counts / MeV 6 4MeV<->44MeV 5 Signal: / e Counts / MeV MeV<->48MeV Signal: 5.8 +/ e
21 Counts (acc. corrected) / 4 MeV è [MeV] + e è 1
22 ) ;;m (q F 8 QED Fit to CB/TAPS-Data CB/TAPS NA6 SND MAMI-C Terschluesen Leupold -1 9! 1-1 8! -1 7! e è
23 ) ;;m (q F 8 QED Fit to CB/TAPS-Data CB/TAPS NA6 SND MAMI-C Terschluesen Leupold -1 9! 1-1 8! -1 7! e è è 3
24 ) ;;m (q F 8 QED Fit to CB/TAPS-Data CB/TAPS NA6 SND MAMI-C Terschluesen Leupold è -1 9! 1-1 8! -1 7! e è è 4
25 ) ;;m (q F 8 QED Fit to CB/TAPS-Data CB/TAPS NA6 SND MAMI-C Terschluesen Leupold -1 9! 1-1 8! -1 7! e è è 5
26 è è è 6
27 è Counts (acc. corrected) / 4 MeV Acceptance [MeV] + e [MeV] + e è 7
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