1.   Research Center for Nuclear Physics, Osaka University, Japan  Institute of Physics, Hanoi, Vietnam. Tran Dinh Trong

2.  Motivation  Experiment setup  Data analysis  Results and discussion  Conclusion Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

3.  Proton and neutron distributions radii are good observables for testing nuclear structure model.  The AMD calculation predicted that proton densities (radii) of C isotopes are almost constant. We want to experimentally confirm this using CCCS measurement.  Proton distribution radii (charge radii) have recently been determined for He, Li, Be isotopes by isotope-shift measurements.  However, isotope-shift method is extremely challenging for Z>4, especially for some p- shell, and most p-sd shell nuclei. Y. Kanada-En’yo, PRC71(2005),014310 AMD prediction C isotopes Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

4.  Geometrical model:  Glauber model: It works very well for interaction or reaction cross section from 30A to 1000A MeV  Matter radii can be determined by interaction or reaction cross sections M. Takechi et al., Phys.Rev.C79,061601 (2009) Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

5. Charge-Changing Cross Section σ cc is the cross section for all (direct) processes which result in a change of the atomic number(Z) of the projectile Tested by stable nuclei and Li isotopes. Isotope shift CCCS R p of Li isotope CCCS Exp. Glauber I. Tanihata et al, Prog.Part.Nucl.Phys. 68 (2013),215 Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

6.  Method: Transmission method   = N out(Z) /N in(Z)  ,  0 : with C target and without C target  1 - P m : Acceptance factor.  t : target thickness.  Primary beam: 22 Ne, 80A MeV.  Secondary beam: C isotopes, ~50A MeV. identify and count out-going nuclei with the same atomic number Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

7. F1PL F2UPPAC F2Si F2DPPAC F3UPPAC F3DPPAC F3Si VETO TRIGGER NaI F0 Target MUSIC Target F1 Dgd F2Slit F1Slit ENCourse RCNP, Osaka Univ. Multi Sampling Ionization Chamber (MUSIC) Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

8. Veto Trigger Target MUSIC F3UPPAC F3DPPACFSi F3UPPAC F3DPPAC F3Si VETO TRIGGER NaI MUSIC Target PID before Target Si - dE RF - TOF Si - dE -Estimation: 246/1221408=0.02014% Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

9. F3UPPAC F3DPPAC F3Si VETO TRIGER NaI MUSIC Target -At downstream det.: 284/1221408=0.02325% -Estimation: 246/1221408=0.02014% PID before Target Si - dE RF - TOF Si - dE MUSIC-dE NaI - E PID after Target Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

10. 1. Beam. 2. Elastic and inelastic. 3. Reaction in NaI detector. 4. Proton pickup. 5. Proton removal. 6. Contaminant. 7. Outside acceptance. 33 6 2 4 5 5 N out(Z) = 1+2+3 1 F3UPPAC F3DPPAC F3Si VETO TRIGGER NaI MUSIC Target 7 Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

11. Acceptance of each MUSIC layer was determined. Rutherford scattering was used to fit and calculate out- of-acceptance factor. Checked with GEANT4 simulation. dθ Δ N i / (N 0 ΔΩ ) θ (deg) PmPm 1 - P m P m ( 12 C)=0.00391 ± 0.0004 e.g) Pm = 0 σ cc = 1128 mb Pm = 0.00391 σ cc = 942 mb # 186 -> ~20%  NaI Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

12.  CCCSs of C isotopes increase slowly with neutron number for 12-18 C.  This trend is similar with the high energy data. Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

13. Unknown parameters: 5 12 C on 12 C Target A C(A=13-18) on 12 C Target  p ( 12 C),  n ( 12 C)  I (950),  CC (950)  NN (E)  I (E),  CC (E)  p ( A C)  n ( A C)  n ( 12 C)  NN (950)  R (E)  p ( 12 C)  I (950),  CC (950) e-scattering  R p 2  1/2  R n 2  1/2 Unknown : 3 Unknown : 2 Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

14. Closed symbol: CCCS Open symbol: Reaction cross section Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

15.  From high energy data, we have rms of proton and neutron radii.  Using those rms radii and  NN (E) from 12 C data. CCCS at low energy was calculated by using Glauber model. Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

17.  We have measured CCCSs of 10-18 C isotopes at 50A MeV using RI beam at EN Course, RCNP, Osaka University.  The CCCSs are almost constant for 12-18 C, in similar trend as the high-energy data.  The CCCSs at different beam energies are consistently understood by Glauber model.  Rms proton radii were calculated by using Glauber model, the trend is consistent with AMD prediction.  We can determine rms charge radii by CCCSs at low energy. Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

18. Thank you for your attention! D. T. Tran A,B, T. T. Nguyen B,C, I. Tanihata A,D, M. Fukuda E, H. J. Ong A, N. Aoi A, Y. Ayyad A, P.Y. Chan A, T. H. Hoang A,B, T. Hashimoto F, E. Ideguchi A, A. Inoue A, T. Kawabata G, H. K. Le B, K. Matsuta E, M. Mihara E, S. Momota H, D. Nagae I, A. Ozawa I, P.P. Ren J, H. Sakaguchi A, J. Tanaka A, S. Terashima D, R. Wada J, W.P. Liu J, T. Yamamoto A A RCNP, Osaka Univ.; B IOP Hanoi, Vietnam; C Pham Ngoc Thach Univ. Vietnam; D Beihang Univ. China; E Dept. of Phys. Osaka Univ.; F IBS, Korea; G Dept. of Phys. Kyoto Univ.; H Kochi Univ. of Tech.; I IOP Univ. of Tsukuba; J IMP, China. Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

19.  D. T. Tran A,B, T. T. Nguyen B,C, I. Tanihata A,D, M. Fukuda E, H. J. Ong A, N. Aoi A, Y. Ayyad A, P.Y. Chan A, T. H. Hoang A,B, T. Hashimoto F, E. Ideguchi A, A. Inoue A, T. Kawabata G, H. K. Le B, K. Matsuta E, M. Mihara E, S. Momota H, D. Nagae I, A. Ozawa I, P.P. Ren J, H. Sakaguchi A, J. Tanaka A, S. Terashima D, R. Wada J, W.P. Liu J, T. Yamamoto A A RCNP, Osaka Univ., B IOP Hanoi, Vietnam, C Pham Ngoc Thach Univ. Vietnam, D Beihang Univ. China, E Dept. of Phys. Osaka Univ., F IBS, Korea, G Dept. of Phys. Kyoto Univ., H Kochi Univ. of Tech., I IOP Univ. of Tsukuba, J IMP, China. Presenter: Tran Dinh Trong

20. Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

21.  Nuclear radii and interaction cross section:  Glauber model for interaction cross section works very well from 30A to 1000A MeV M. Takechi et al., Phys.Rev.C79,061601 (2009) Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

22. F1PL F2UPPAC F2Si F2DPPAC F3UPPAC F3DPPAC F3Si VETO TRIGER NaI F0 Target MUSIC Target F1 Dgd identify and count out-going nuclei with the same atomic number F2Slit RCNP, Osaka Univ. F1Slit Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

23.  Statistic error was considered as binominal distribution.  Stability of results was checked by changing the definition of good beam. It showed as number of remaining beam counts.  Main systematic error come from beam selection and acceptance factor. Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy

25.  For 12 C case:   p : from electron scattering data.   n,  NN using fit Glauber model with reaction cross section and CCCS.   NN (E): using dependence reaction cross section on energy.  For other isotopes : Using  NN (E) from 12 C data, fit Glauber model with reaction cross section and CCCS to obtain  P,  n. Tran Dinh Trong, NN2015 – June 21-26, Catania, Italy