Isospin splitting of the nucleon mean field

2005/06/01 by W. Zuo, Liyun Cao, L. G. Cao +4 · 123 citations
Earth and Planetary Sciences · Physics and Astronomy · #Ansatz #High-pressure geophysics and materials #Isospin #Mean field theory #Neutron #Nuclear matter #Nuclear physics #Nuclear physics research studies #Nucleon #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering #Symmetry (geometry) #nucl-th

paper · pdf · doi:10.1103/physrevc.72.014005

published in Physical Review C 72(1) (American Institute of Physics) · 8 pages, 10 figures

arxiv created 2005/06/01 · openalex publication_date 2005/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The isospin splitting of the nucleon mean field is derived from the Brueckner theory extended to asymmetric nuclear matter. The Argonne V₁₈ has been adopted as bare interaction in combination with a microscopic three-body force. The isospin splitting of the effective mass is determined from the Brueckner-Hartree-Fock self-energy: It is linear according to the Lane ansatz, such that m_n^*>m_p^* for neutron-rich matter. The symmetry potential is also determined, and a comparison is made with the predictions of the Dirac-Brueckner approach and the phenomenological interactions. The theoretical predictions are also compared with the empirical parametrizations of neutron and proton optical model potentials based on the experimental nucleon-nucleus scattering and the phenomenological ones adopted in transport model simulations of heavy-ion collisions. The direct contribution of the rearrangement term due to three-body forces to the single-particle potential and symmetry potential is discussed.

Citations

• Effective Nucleon Masses in Symmetric and Asymmetric Nuclear Matter
• Momentum dependence of the symmetry potential and nuclear reactions induced by neutron-rich nuclei at RIA
• Isospin dependence of nucleon emission and radial flow in heavy-ion collisions induced by high energy radioactive beams
• Determination of the Stiffness of the Nuclear Symmetry Energy from Isospin Diffusion
• Near-threshold pion production with radioactive beams

Cited by

• Origins and impacts of high-density symmetry energy
• Exact versus Taylor-expanded energy density in the study of the neutron star crust–core transition
• Improved single particle potential for transport model simulations of nuclear reactions induced by rare isotope beams
• Interdependence of different symmetry energy elements