Study of microscopic complex potentials for nuclear scattering reaction

1. YIPQS International Molecule on Coexistence of weak and strong binding in unstable nuclei and its dynamics (Mar. 4-22th, 2013 @YITP) Study of microscopic complex potentials for nuclear scattering reaction TakenoriFurumoto (Ichinoseki National College of Technology) Collaborators Y. Sakuragi (Osaka City Univ.) Y. Yamamoto (RIKEN)

2. Contents • Microscopic complex nucleus-nucleus (AA) potential • - based on the double folding model (DFM) • with complex G-matrix (CEG07) interaction • 2. Application of the microscopic complex potential model • to the high-energy region • 3. Application of the microscopic complex potential model • to the coupled channel calculation • 4. Summary

3. Double-Folding Model (DFM) vNN(s) r2 r1 R Projectile Target nucleon density nucleon-nucleon (NN) interaction

4. Double-Folding Model (DFM) with complex G-matrix interaction vNN(s) r2 r1 Folding model potential R Projectile(1) Target(2) Incompressibility K (at kF = 1.35 fm-1) 259 MeV (with TBF) 106 MeV (w/o TBF) Interaction CEG07 (complex G-matrix interaction) CEG07b (with TBF) CEG07a (w/o TBF) T. Furumoto, Y. Sakuragi and Y. Yamamoto, (Phys. Rev. C.79 (2009) 011601(R)), ibid. 80 (2009) 044614)

5. Heavy-ion elastic scattering T. Furumoto, Y. Sakuragi and Y. Yamamoto, (Phys. Rev. C.79 (2009) 011601(R)), ibid. 80 (2009) 044614)

6. Application of the microscopic complex potential model to the high energy region

7. 12C + 12C folding model potential at various energies becomes repulsive prediction of repulsive potential becomes large T. Furumoto, Y. Sakuragi and Y. Yamamoto, Phys. Rev. C82, 044612 (2010)

8. About repulsive potential In general, nuclear interaction is attractive. By several reasons, nuclear interaction becomes repulsive • medium effect (Pauli principle, three-body force) • energy dependence N.V.Sen, (Nucl.Phys.A464 (1987) 717 L.G.Arnold, (Phys.Rev.C25(1982)936 The repulsive potential is obtained in the high-energy region. • Examples • Dirac phenomenology(p-A, d-A) • microscopic approach (p-A) • phenomenological optical model analysis (α-A) L.Rikus, K.Nakano, H.V.V.Geramb, (Nucl.Phys.A414 (1984) 413 L.Rikus, H.V.V.Geramb, (Nucl.Phys.A426 (1984) 496

9. 12C + 12C elastic scattering at various energies becomes repulsive prediction of repulsive potential becomes large T. Furumoto, Y. Sakuragi and Y. Yamamoto, Phys. Rev. C82, 044612 (2010)

10. (a)Attractive potential(V < 0) The cross section by semi-classical schematic representation scattering wave potential scattering angle F nearside N classical trajectory farside

11. (b)Repulsive potential (V > 0) The cross section by semi-classical schematic representation scattering wave potential scattering angle F nearside N classical trajectory farside

12. Prediction of repulsive potential for Heavy-ion High-energy scattering CEG07b @300 MeV/u The strong interference appears. T. Furumoto, Y. Sakuragi and Y. Yamamoto, Phys. Rev. C82, 044612 (2010)

13. Application of the microscopic complex potential model to the coupled channel calculation

14. Transition density transition density CEG07 Microscopic Coupled Channel (MCC) with CEG07 Coupled Channel equation The diagonal and coupling potentials are derived from microscopic view point. vNN(s) r2 r1 R Projectile Target

15. Channel Coupling Effect on high-energy heavy-ion elastic scatterings The coupling effect is clearly seen! 1. Backward cross section comes down 2. Diffraction pattern goes backward T. Furumoto and Y. Sakuragi, Phys. Rev. C87, 014618 (2013)

16. Dynamical Polarization Potential (DPP) Coupled Channel equation Coupling effect is described as potential form Dynamical Polarization Potential (DPP) By partial wave expansion

17. Dynamical Polarization Potential (DPP) Coupling potential (01 →21) Repulsive Attractive T. Furumoto and Y. Sakuragi, Phys. Rev. C87, 014618 (2013) Attractive

18. Dynamical Polarization Potential (DPP) for high-energy heavy-ion systems Repulsive Coupling potential (01 →21) Attractive Attractive T. Furumoto and Y. Sakuragi, Phys. Rev. C87, 014618 (2013)

19. Role of Dynamical Polarization Potential (DPP) in the elastic cross section (a) attractive potential (V < 0 ) + repulsive DPP (△V > 0 ) (a) Elastic cross section Range log σ(θ) 0 Potential F N Real part Scattering angle: θ T. Furumoto and Y. Sakuragi, Phys. Rev. C87, 014618 (2013)

20. Role of Dynamical Polarization Potential (DPP) in the elastic cross section (b) repulsive potential (V > 0 ) + attractive DPP (△V < 0 ) (b) Real part Elastic cross section log σ(θ) Potential N 0 Range F Scattering angle: θ T. Furumoto and Y. Sakuragi, Phys. Rev. C87, 014618 (2013)

21. Channel Coupling Effect on high-energy heavy-ion elastic scatterings The channel coupling effect looks very similar to each other The origin of the effect - very different from each other But! T. Furumoto and Y. Sakuragi, Phys. Rev. C87, 014618 (2013)

22. Role of imaginary part of coupling potential Coupling potential (01 →21) T. Furumoto and Y. Sakuragi, Phys. Rev. C87, 014618 (2013)

23. Role of imaginary part of coupling potential Coupling potential (01 →21) T. Furumoto and Y. Sakuragi, Phys. Rev. C87, 014618 (2013)

24. Summary Microscopic complex potential - constructed with the complex G-matrix (CEG07) interaction. - reproduce the experimental data for various systems. Repulsive potential in the high-energy region - predicted in the G-matrix folding model. - gives the characteristic angular distribution. Channel coupling effect and Role of imaginary coupling potential - clearly seen in the elastic cross section, although the incident energy is high enough. - the imaginary part plays dominant role in inelastic scattering in high energy region (200-400 MeV/u).