Nucleon effective masses in neutron-rich matter

Li, Bao-An; Cai, Bao-Jun; Chen, Lie-Wen; Xu, Jun

doi:10.1016/j.ppnp.2018.01.001

Title: Nucleon effective masses in neutron-rich matter

Journal Article · Thu Mar 01 00:00:00 EST 2018 · Progress in Particle and Nuclear Physics

DOI:https://doi.org/10.1016/j.ppnp.2018.01.001· OSTI ID:1421771

Li, Bao-An; Cai, Bao-Jun; Chen, Lie-Wen; Xu, Jun

Various kinds of isovector nucleon effective masses are used in the literature to characterize the momentum/energy dependence of the nucleon symmetry potential or self-energy due to the space/time non-locality of the underlying isovector strong interaction in neutron-rich nucleonic matter. The multifaceted studies on nucleon isovector effective masses are multi-disciplinary in nature. Besides structures, masses and low-lying excited states of nuclei as well as nuclear reactions, studies of the isospin dependence of short-range correlations in nuclei from scatterings of high-energy electrons and protons on heavy nuclei also help understand nucleon effective masses especially the so-called E-mass in neutron-rich matter. A thorough understanding of all kinds of nucleon effective masses has multiple impacts on many interesting issues in both nuclear physics and astrophysics. Indeed, essentially all microscopic many-body theories and phenomenological models with various nuclear forces available in the literature have been used to calculate single-nucleon potentials and the associated nucleon effective masses in neutron-rich matter. There are also fundamental principles connecting different aspects and impacts of isovector strong interactions. In particular, the Hugenholtz–Van Hove theorem connects analytically nuclear symmetry energy with both isoscalar and isovector nucleon effective masses as well as their own momentum dependences. It also reveals how the isospin-quartic term in the equation of state of neutron-rich matter depends on the high-order momentum-derivatives of both isoscalar and isovector nucleon potentials. The Migdal–Luttinger theorem facilitates the extraction of nucleon E-mass and its isospin dependence from experimentally constrained single-nucleon momentum distributions. The momentum/energy dependence of the symmetry potential and the corresponding neutron–proton effective mass splitting also affect transport properties and the liquid–gas phase transition in neutron-rich matter. Moreover, they influence the dynamics and isospin-sensitive observables of heavy-ion collisions through both the Vlasov term and the collision integrals of the Boltzmann–Uehling–Uhlenbeck transport equation. We review here some of the significant progresses made in recent years by the nuclear physics community in resolving some of the hotly debated and longstanding issues regarding nucleon effective masses especially in dense neutron-rich matter. We also point out some of the remaining key issues requiring further investigations in the era of high precision experiments using advanced rare isotope beams.

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Research Organization:: Texas A & M Univ., Commerce, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC); Major State Basic Research Development Program in China; Shanghai Institute of Applied Physics; Shanghai Key Laboratory of Particle Physics and Cosmology

Grant/Contract Number:: SC0009971; SC0013702; 11320101004; 2013CB834405; 2015CB856904; 11625521; 11275125; 11135011; 2014CB845401; 11475243; 11421505; Y290061011; Y526011011; 15DZ2272100

OSTI ID:: 1421771

Alternate ID(s):: OSTI ID: 1658223

Journal Information:: Progress in Particle and Nuclear Physics, Journal Name: Progress in Particle and Nuclear Physics Vol. 99 Journal Issue: C; ISSN 0146-6410

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 123 works

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