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Microscopic approach to the nucleon-nucleon effective interaction and nucleon-nucleon scattering in symmetric and isospin-asymmetric nuclear matter

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Abstract

After reviewing our microscopic approach to nuclear and neutron-rich matter, we focus on how nucleon-nucleon scattering is impacted by the presence of a dense hadronic medium, with special emphasis on the case where neutron and proton densities are different. We discuss in detail medium and isospin asymmetry effects on the total elastic cross section and the mean free path of a neutron or a proton in isospin-asymmetric nuclear matter. We point out that in-medium cross sections play an important role in heavy-ion simulations aimed at extracting constraints on the symmetry potential. We argue that medium and isospin dependence of microscopic cross sections are the result of a complex balance among various effects, and cannot be simulated with a simple phenomenological model.

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References

  1. R. Machleidt, Adv. Nucl. Phys. 19, 189 (1989).

    Article  Google Scholar 

  2. K. Oyamatsu, I. Tanihata, Y. Sugahara, K. Sumiyoshi, H. Toki, Nucl. Phys. A 634, 3 (1998).

    Article  ADS  Google Scholar 

  3. R.J. Furnstahl, Nucl. Phys. A 706, 85 (2002).

    Article  ADS  Google Scholar 

  4. F. Sammarruca, P. Liu, Phys. Rev. C 79, 057301 (2009).

    Article  ADS  Google Scholar 

  5. A.W. Steiner, Phys. Rev. C 74, 045808 (2006) and references therein.

    Article  ADS  Google Scholar 

  6. M.B. Tsang et al., Phys. Rev. C 86, 015803 (2012).

    Article  ADS  Google Scholar 

  7. C. Simenel, Ph. Chomaz, G. de France, Phys. Rev. C 76, 024609 (2007).

    Article  ADS  Google Scholar 

  8. B.A. Li, L.W. Chen, Phys. Rev. C 72, 064611 (2005).

    Article  ADS  Google Scholar 

  9. C.M. Ko, Int. J. Mod. Phys. E 19, 1763 (2010) in Proceedings of the “International Workshop on Nuclear Dynamics in Heavy-Ion Reactions and the Symmetry Energy”, Shanghai, China, August 23-25, 2009.

    Article  ADS  Google Scholar 

  10. A.M. Lane, Nucl. Phys. 35, 676 (1962).

    Article  Google Scholar 

  11. R. Machleidt, D.R. Entem, Phys. Rep. 503, 1 (2011) and references therein.

    Article  ADS  Google Scholar 

  12. R. Machleidt, Phys. Rev. C 63, 024001 (2001).

    Article  ADS  Google Scholar 

  13. V.G.J. Stoks et al., Phys. Rev. C 49, 2950 (1994).

    Article  ADS  Google Scholar 

  14. R.B. Wiringa et al., Phys. Rev. C 51, 38 (1995).

    Article  ADS  Google Scholar 

  15. R.H. Thompson, Phys. Rev. D 1, 110 (1970).

    Article  ADS  Google Scholar 

  16. E.E. Salpeter, H.A. Bethe, Phys. Rev. 84, 1232 (1951).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. G.E. Brown et al., Comments Nucl. Part. Phys. 17, 39 (1987).

    Google Scholar 

  18. D. Alonso, F. Sammarruca, Phys. Rev. C 67, 054301 (2003).

    Article  ADS  Google Scholar 

  19. F. Sammarruca, Int. J. Mod. Phys. E 19, 1259 (2010).

    Article  ADS  Google Scholar 

  20. R. Brockmann, R. Machleidt, Phys. Lett. B 149, 283 (1984) and Phys. Rev. C 42.

    Article  ADS  Google Scholar 

  21. M.I. Haftel, F. Tabakin, Nucl. Phys. A 158, 1 (1970).

    Article  ADS  Google Scholar 

  22. G.F. Bertsch, S. Das Gupta, Phys. Rep. 160, 189 (1988).

    Article  ADS  Google Scholar 

  23. W. Cassing, W. Metag, U. Mosel, K. Niita, Phys. Rep. 188, 363 (1990).

    Article  ADS  Google Scholar 

  24. V.R. Pandharipande, S.C. Pieper, Phys. Rev. C 45, 791 (1992).

    Article  ADS  Google Scholar 

  25. D. Persram, C. Gale, Phys. Rev. C 65, 064611 (2002).

    Article  ADS  Google Scholar 

  26. B.-A. Li, L.-W. Chen, Phys. Rev. C 72, 064611 (2005).

    Article  ADS  Google Scholar 

  27. G.Q. Li, R. Machleidt, Phys. Rev. C 48, 1702 (1993) and 49.

    Article  ADS  Google Scholar 

  28. C. Fuchs, A. Faessler, M. El-Shabshiry, Phys. Rev. C 64, 024003 (2001).

    Article  ADS  Google Scholar 

  29. H.-J. Schulze, A. Schnell, G. Röpke, U. Lombardo, Phys. Rev. C 55, 3006 (1997).

    Article  ADS  Google Scholar 

  30. H.F. Zhang, Z.H. Li, U. Lombardo, P.Y. Luo, F. Sammarruca, W. Zuo, Phys. Rev. C 76, 054001 (2007).

    Article  ADS  Google Scholar 

  31. R.J. Glauber, Lectures on Theoretical Physics, Vol. I (Interscience, New York, 1959).

  32. T. Alm, G. Röpke, M. Schmidt, Phys. Rev. C 50, 31 (1994).

    Article  ADS  Google Scholar 

  33. T. Alm, G. Röpke, W. Bauer, F. Daffin, M. Schmidt, Nucl. Phys. A 587, 815 (1995).

    Article  ADS  Google Scholar 

  34. A. Bohnet, N. Ohtsuka, J. Aichelin, R. Linden, A. Faessler, Nucl. Phys. A 494, 349 (1989).

    Article  ADS  Google Scholar 

  35. J.W. Negele, K. Yazaki, Phys. Rev. Lett. 62, 71 (1981).

    Article  ADS  Google Scholar 

  36. H.M. Xu, Phys. Rev. Lett. 67, 2769 (1991) and Phys. Rev. C 46.

    Article  ADS  Google Scholar 

  37. P. Danielewicz, Acta Phys. Pol. B 33, 45 (2002).

    ADS  Google Scholar 

  38. G.D. Westfall et al., Phys. Rev. Lett. 71, 1986 (1993).

    Article  ADS  Google Scholar 

  39. D. Klakow, G. Welke, W. Bauer, Phys. Rev. C 48, 1982 (1993).

    Article  ADS  Google Scholar 

  40. Y. Zhang, Z.X. Li, P. Danielewicz, Phys. Rev. C 75, 034615 (2007).

    Article  ADS  Google Scholar 

  41. Bao-An Li, Lie-Wen Chen, Che Ming Ko, Phys. Rep. 464, 113 (2008).

    Article  ADS  Google Scholar 

  42. B.A. Li, P. Danielewicz, W.G. Lynch, Phys. Rev. C 71, 054603 (2005).

    Article  ADS  Google Scholar 

  43. M.S. Hussein, R.A. Rego, C.A. Bertulani, Phys. Rep. 201, 279 (1991).

    Article  ADS  Google Scholar 

  44. L.L. Li et al., Phys. Rev. C 80, 064607 (2009).

    Article  ADS  Google Scholar 

  45. B. Chen, F. Sammarruca, C.A. Bertulani, Phys. Rev. C 87, 054616 (2013).

    Article  ADS  Google Scholar 

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Correspondence to F. Sammarruca.

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Communicated by A. Ramos

Contribution to the Topical Issue “Nuclear Symmetry Energy” edited by Bao-An Li, Ángels Ramos, Giuseppe Verde, Isaac Vidaña.

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Sammarruca, F. Microscopic approach to the nucleon-nucleon effective interaction and nucleon-nucleon scattering in symmetric and isospin-asymmetric nuclear matter. Eur. Phys. J. A 50, 22 (2014). https://doi.org/10.1140/epja/i2014-14022-1

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  • DOI: https://doi.org/10.1140/epja/i2014-14022-1

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