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2024年10月30日

Investigation of Self-Consistent Relativistic Microscopic Optical Potential

  • In Dirac-Brueckner calculations for nuclear matter,the average binding energy per nucleon versus density curve is not uniquely defined if coupling to anti-particle is neglected.According to the Hugenholtz-Van Hove theorem,a constraint requires that the nucleon separation energy equals to the fermi energy at saturation density.Choosing saturation energy as empirical value EB/A=-15.8MeV,the self-consistent calculation leads to the saturation density kf=1.41fm-1 and effective mass m*=0.52m,in compressive coefficient k=208MeV.Applying the first law of thermodynamics,self-consistent effective mass (real scalar potential) and the binding energy per nucleon as function of the nuclear density can be obtained.With the realistic nucleon-nucleon interaction (Bonn potential),the vector potential can be obtained from solving the RBBG equation,which weakly depends on the momentum.The cross section and spin observables of the nucleon-nucleus scattering are studied with this new self-consistent relativistic microscopic optical potential.
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  • [1] F. Coester, S. Cohen, B. D. Day and C. M. Vincent, Phys. Rev., 01(1970), 69[2]H. Q. Song, S. D. Yang and T. T. S. Kuo, Nucl. Phys., A462(1987), 491.M. F. Jiang, T. T. S. Kuo, and H. Miither, Phys. Rev., 038(1988), 2408.M. F. Jiang, R. Machleidt and T. T. S. Kuo, Phys. Rev., 041(1990), 2346.[3]J.A. Mcneil, J. R. Shepard and S. J. Wallace, Phys. Rev. Lett., 50(1983), 1439.J.R. Shepard, J. A. Mcneil and S. J. Wallace, Phys. Rev. Lett, 50(1983), 1443.[4]B.C. Clark, R. L. Mercer, D. G. Ravenhall and A. M. Saperstein, Phyr. Rev., 07(1973), 466[5]H.Elsenhans, H. Muther and R. Machleidt, Nucl.Phys., AS15(1990), 715.[6]M. R. Anastasio, L. S. Celenza, W. S. Pong and C. M. Shakin, Phys. Rep., 100(1983), 328.L. S. Celenza and C. M. Shakin, Relativirtic Nucl. Phys (World Scientific Publishing Co pte Ltd. 1986)[7]R. Brockmann and R. Machlcidt, Phys. Lett., 149B(1984), 283.[8]C. J. Horowitz and B. D. Serot, Nucl. Phys., A464(1987), 613.C. J. Horowitz and B. D. Serot, Phys. Lett., 137B(1984), 287.[9]B. ter Haar and R. Malfliet, Phys. Rep., 149(1987), 207.[10]C. Nuppenau, Y. J. Lee and A. D. Mackellar, Nucl. Phys., A504(1989), 839.[11]Y. J. Lee, C. Nuppenau and A. D. Mackellar, Nucl. Phys., A504(1989), 447.[12]Y. J. Lee, C. Nuppenau and A. D. Mackellar, Phys. Lett., 233B(1989), 263.[13]C. Nuppenau, A. D. Mackellar and Y. J. Lee, Nucl. Phys., A551(1990) 525.[14]A. D. Mackellar and B. Q. Chen Invited talk at the Intcrnational Workshop on Quark-Gluon Structure of Hadron and Nuclei, Shanehai 1990.[15]B. Q. Chen, A. D. Mackellar and C. Nuppenau Submited to Nucl. Phys.[16]S. Hama, B. C. Clark, E. D. Cooper, H. S. Sherit and R. L.Mercer, Phys, Rev., 041(1990), 2737.[17]陈宝秋、马中玉,高能物理与核物理,16(1992),123,[18]Ma Zhong Yu and r'hen L'ao Qiu, J. Phys., G: Nucl. and Part Phys., 18(1992), 1543.[19]N, M. Hugenholtz and L. Van Hove, Physics, 24(1958), 363.[20]Ma Zhong Yu, Zhu Ping, Gu Yingyi and Zhuo Yi Zhong, Nucl.Phys., A490(1988), 619.[21]E. D. cooper et al., Phys. Rev., 036(1987), 2170.[22]Y. Mivama, Phys. Lett., 215B(1989), 604[23]Zhu Ping, Ma Zhonyu, Gu Yingqi and Znuo Yizhong, Chinefe J. of Nucl. Phys., 11(1989) 39
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CHEN Bao-Qiu. Investigation of Self-Consistent Relativistic Microscopic Optical Potential[J]. Chinese Physics C, 1993, 17(4): 345-352.
CHEN Bao-Qiu. Investigation of Self-Consistent Relativistic Microscopic Optical Potential[J]. Chinese Physics C, 1993, 17(4): 345-352. shu
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Received: 1900-01-01
Revised: 1900-01-01
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Investigation of Self-Consistent Relativistic Microscopic Optical Potential

    Corresponding author: CHEN Bao-Qiu,
  • Institute of Atomic Energy,Beijing 102413

Abstract: In Dirac-Brueckner calculations for nuclear matter,the average binding energy per nucleon versus density curve is not uniquely defined if coupling to anti-particle is neglected.According to the Hugenholtz-Van Hove theorem,a constraint requires that the nucleon separation energy equals to the fermi energy at saturation density.Choosing saturation energy as empirical value EB/A=-15.8MeV,the self-consistent calculation leads to the saturation density kf=1.41fm-1 and effective mass m*=0.52m,in compressive coefficient k=208MeV.Applying the first law of thermodynamics,self-consistent effective mass (real scalar potential) and the binding energy per nucleon as function of the nuclear density can be obtained.With the realistic nucleon-nucleon interaction (Bonn potential),the vector potential can be obtained from solving the RBBG equation,which weakly depends on the momentum.The cross section and spin observables of the nucleon-nucleus scattering are studied with this new self-consistent relativistic microscopic optical potential.

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