Measurements of the 2 H(p,2p)n breakup reaction at 250MeV

Transcription

1 FM50, October 30, 2007, Tokyo Measuremets of the 2 H(,2) breaku reactio at 250MeV Yukie Maeda (Kyushu Uiversity) T. Uesaka, T. Kawabata, Y. Shimizu, S. Sakaguchi, Y. Sasamoto (CNS, Uiv. of Tokyo) H. Sakai, K. Yako, M. Sasao, S. Noji (Uiv. of Tokyo) K. Hataaka, Y. Sakemi, A. Tamii, K. Suda, Y. Tameshige, T. Matsubara (RCNP) T. Sagara, T. Wakasa, M. Dozoo, E. Ihara (Kyushu Uiv.) K. Sekiguchi, M. Takechi (RIKEN)

2 N+d elastic scatterig at 250MeV Faddeev calc (by Prof. H. Kamada) : NN oly (CD-Bo, AV8, Nijmege-I,II,93) : NN with TM-3NF : AV8+UrbaaIX-3NF : CD-Bo+TM99-3NF K. Sekiguchi et al. Phys. Rev. C 65, (2002) +d (K. Hataaka et.al, PRC66(2002)044002) & +d (Y. Maeda et.al, PRC76(2002)04004) measuremets at RCNP Large discreacies betwee data & 3NF redictios at θcm = 0 ~ 80 deg. N+d scatterig at 250MeV shows differet results from that at below 35MeV

3 Calculatios with Δ excitatio 3NF The effects of the Δ- excitatio by ay mesos (calc. by Lisbo-Haover Gr.) Δ-excitatios are exlicitly icluded by the couled chael method π ρ, ρ ρ ad 3π rig tye 3NF(illiois model) are icluded effectively. No large sueriority to the 2π exchage tye 3NF. What we are missig? 2

4 Relativistic effects Fully relativistic calculatios by Witała et al. Relativistic effect is limited to the very backward agles. Large discreacy idicates that we eed other tyes of 3NF (?) No-Rel. Rel. NN otetial Loretz boosted otetial Arox. Arox. 2 More studies of 3NF at 250 MeV are imortat to uderstad this discreacy. 3

5 d breaku reactio Why are Nd breaku reactios good at this eergy? Cross sectio becomes relatively large. J. Kuroś et al., PRC66 (2002) σela σtot σbreaku E2 E Elastic scatterig Itegratio of all Breaku reactio Select a oit o the S-curve It is imortat to select good kiematical cofiguratio to search the detail of 3NF effect. 4

6 FSI cofiguratio d breaku aroud FSI cofiguratio (θ = θ = 40 deg, = 0 deg) Similar reactio to d θ d = 40 deg ( θ cm = 98.5 deg ) q ~ 3.5fm - The 3NF effect is large i the differetial cross sectios (40%). The data is well reroduced by the calculatios with 3NF. We chose the cofiguratio of θ = θ to avoid the Coulomb force actig betwee two ucleos i FSI. 5

7 Aalyzig owers Aroud the fial state iteractio (FSI) cofiguratio at 200MeV J. Kuroś, Doctoral Dissertatio (2002) : NN oly : NN with TM-3NF : AV8+UrIX-3NF : CD-Bo +TM -3NF 2 = 2 Measuremets alog the S-curve icludig the FSI cofiguratio (θ = θ 2, 2 =0) is good robe to search the effects of reset 3NF models!! 6

8 Exerimet at RCNP +d 250MeV ; Differetial cross sectios & Ay Two rotos Detected by usig double-arm sectrometer Neutro i FSI Not detected 7

9 Exerimetal rocedure Cofiguratio: (θ = θ = 40 deg, = 0 deg) (θ = 40 deg, θ 2 ~ 67 deg, 2 = 80 deg) θ GR ~ 67 deg E 2 = 6 ~ 20 MeV ΔΩ2=4msr θ LAS = 40deg E = 50 ~ 5 MeV ΔΩ=5msr QFS S-curve olarized roto beam E = 250 MeV B.I. = 50 A olarizatio ~ 70 % CD 2 target Liq D 2 target FSI QFS S=0[MeV] 8

10 Liquid deutero target Target thickess about 20mg/cm 2 Thickess of aramid foils 2μm Moitorig of the target thickess by the measuremet of d elastic scatterig θ = θd = 50.8deg (LAB) Systematic error ; 3% Calibratio of the absolute values of the data Deuterated olyethylee (CD2) 44mg/cm 2 Grahite 9

11 Missig Mass 0

12 S curve (E, E) are calculated from (E, E2) Data shows good agreemet with kiematical S-curve. Eergy distributio was obtaied by chagig the magetic fields ad the agles 3 times Normalizatio Lumiosity moitor Observables are reduced as the fuctio of E.

13 Results () Differetial cross sectio Differetial cross sectio ΔE = 5 MeV-bi d breaku at 250MeV Calc. by Prof. Kamada (KIT) (ΔS = 7 MeV-bi) Statistical error < % Comariso betwee the data ad the theoretical calculatios Blue lie:ceter of the accetace (θ = θ = 40 deg, = 0 deg) Red lie: Takig ito accout the agular accetace w/o 3NF With 3NF Aroud FSI Good Aroud CS Mi. Good 2

14 Results (2) Aalyzig ower Vector aalyzig ower d breaku at 250MeV ΔE = 5 MeV-bi (ΔS = 7 MeV-bi) Statistical error ΔAy < 0.02 Comariso betwee the data ad the theoretical calculatios Similar to the case of DCS w/o 3NF With 3NF Aroud FSI Good Aroud CS Mi. Better 3

15 Summary () 250 MeV d breaku measuremets were erformed at RCNP. θ = θ = 40 deg, = 0 deg cofiguratios were measured by detectig two rotos. S = MeV rage icludig FSI. Results Differetial cross sectios were obtaied with the statistical errors of %. Vector aalyzig owers were obtaied with ΔAy < Data aroud the FSI ad the cross sectio miimum were well reroduced by the theoretical redictios without ad with 3NF, resectively. 4

16 Summary (2) Future (Theory) Relativistic effects Effect of Coulomb Future (Exerimet) FSI cofiguratio which corresods to the d elastic i the backward agles Sace star cofiguratio 5

17 Thak you for your attetio. 6

18 Aalyzig Powers Faddeev calc. (by Prof. H. Kamada) : NN oly (CD-Bo, AV8, Nijmege-I,II,93) : NN with TM-3NF : AV8+UrbaaIX-3NF : CD-Bo+TM99-3NF The agular distributio of the data ca ot be reroduced at θcm = 0 40 deg. 7

19 8 Equalizatio of the theoretical redictio Blue: (θ,, θ, ) = (40 deg, 0 deg, 40 deg, 0deg) Red: Takig ito accout the agular accetace of the exerimet θ = 37, 39, 4, 43 deg = -3, 0, 3 deg θ = 39, 4 deg = -4, -, 2 deg Equalize the calculatios for = 72 kiematical cofiguratios, Ω Ω Ω Ω = Ω Ω = Ω Ω ) ( ) ( ) ( ) ( ) ( 72 ) ( y equal y equal E d dsd d E d dsd d E A E A E d dsd d E d dsd d σ σ σ σ

20 Results 9

21 Our roosal To search the detail of the 3NF effects ad make a discrimiatio betwee 3NF models, we roose to erform +d (+)+ break u measuremet at E = 250 MeV Large 3NF effects Observable: Ay Differece betwee 3NF models Cofiguratio: (θ = θ = 40 deg, = 0 deg) (θ = 40 deg, θ 2 ~ 67 deg, 2 = 80 deg) S-curve Exerimets at RCNP 250MeV d(,) ; Cross sectio & Ay 00MeV/A +d ()So + ; Cross sectio, Ay, Ayy, Axx, Axz S=0[MeV] 20

22 Kiematics θ, θ = 29 3 deg (dashed lies) S = MeV ; E = 5 50 MeV Data oits Ay ; 7 oits, ΔAy = Ky y ; 2 oits, Δ Ky y =

23 Coulomb iteractio It is difficult to iclude Coulomb force ito the Faddeev calculatios. Comariso betwee d+ Faddeev calculatios ad d+ data. How large is the Coulomb effect i the itermediate eergy regio? Calculatio icludig Coulomb force aroximately. Data is well reroduced by icludig the Coulomb force at the forward agular regio. Large differece betwee calculatios with/without Coulomb iteractio. NN:AV4 calculatios by Prof. Koike 22

24 2π-exchage 3NF models b, d -wave Λ m ( q ) = 2 2 Λ + q 2 π Fπ NN Λ : cut off arameter πnn form factor a s-wave 3NF model a b c d FM TM Urbaa IX TM c 23

25 Results(2) d vs. d at 250MeV The ratio of the differetial cross sectios of +d to +d. Study of the effects of Coulomb force from the direct data-to-data comariso. Doleschall aroximatio CDBo by Prof. Kamada CDBo + Δ by Dr. Deltuva Screeed otetial + reomalizatio method by Lisbo-Haover Gr. CDBo + Δ CDBo oly 24

26 N+d elastic scatterig at 250MeV +d (K. Hataaka et.al, PRC66(2002)044002) & +d (Y. Maeda PhD thesis) measuremets at RCNP d : NN oly : NN with TM-3NF : AV8+UrbaaIX-3NF : CD-Bo+TM -3NF Calculatios by Prof. Kamada 25