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Isospin dependence of nucleon effective masses in neutron-rich matter

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Abstract

In this talk, we first briefly review the isospin dependence of the total nucleon effective mass \(M^{*}_{J}\) inferred from analyzing nucleon-nucleus scattering data within an isospin-dependent non-relativistic optical potential model, and the isospin dependence of the nucleon E-mass \(M^{*,{\text {E}}}_{J}\) obtained from applying the Migdal–Luttinger theorem to a phenomenological single-nucleon momentum distribution in nuclei constrained by recent electron-nucleus scattering experiments. Combining information about the isospin dependence of both the nucleon total effective mass and E-mass, we then infer the isospin dependence of nucleon k-mass using the well-known relation \(M^{*}_{J}=M^{*,{\text {E}}}_{J}\cdot M^{*,{\text {k}}}_{J}\). Implications of the results on the nucleon mean free path in neutron-rich matter are discussed.

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Acknowledgments

We would like to thank F.J. Fattoyev, W.J. Guo, O. Hen, W.G. Newton, E. Piasetzky and C. Xu for helpful discussions.

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Authors and Affiliations

  1. Department of Physics and Astronomy, Texas A&M, University-Commerce, Commerce, TX, 75429-3011, USA

    Bao-An Li & Bao-Jun Cai

  2. Department of Physics and Astronomy and Shanghai Key Laboratory for Particle Physics and Cosmology, Shanghai Jiao Tong University, Shanghai, 200240, China

    Lie-Wen Chen

  3. School of Nuclear Science and Technology, University of South China, Hengyang, 421001, China

    Xiao-Hua Li

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Correspondence to Bao-An Li.

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This work was supported in part by the US Department of Energy’s Office of Science under Award Number DE-SC0013702; the CUSTIPEN (China-US Theory Institute for Physics with Exotic Nuclei) under the US Department of Energy Grant No. DE-SC0009971; the National Natural Science Foundation of China Under Grant Nos. 11320101004, 11275125, 11205083 and 11135011; the Major State Basic Research Development Program (973 Program) in China under Contract Nos. 2013CB834405 and 2015CB856904; the “Shu Guang” project supported by Shanghai Municipal Education Commission and Shanghai Education Development Foundation; the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning, the Science and Technology Commission of Shanghai Municipality (11DZ2260700); the construct program of the key discipline in Hunan province, the Research Foundation of Education Bureau of Hunan Province, China (Grant No. 15A159); the Natural Science Foundation of Hunan Province, China (Grant No. 2015JJ3103); and the Innovation Group of Nuclear and Particle Physics in USC.

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Li, BA., Cai, BJ., Chen, LW. et al. Isospin dependence of nucleon effective masses in neutron-rich matter. NUCL SCI TECH 27, 141 (2016). https://doi.org/10.1007/s41365-016-0140-4

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