Neutron-proton effective mass splitting in neutron-rich matter

Abstract

Nucleon effective masses in neutron-rich matter are studied with the relativistic Brueckner-Hartree-Fock (RBHF) theory in the full Dirac space. The neutron and proton effective masses for symmetric nuclear matter are 0.80 times rest mass, which agrees well with the empirical values. In neutron-rich matter, the effective mass of the neutron is found larger than that of the proton, and the neutron-proton effective mass splittings at the empirical saturation density are predicted as $0.187\alpha$ with $\alpha$ being the isospin asymmetry parameter. The result is compared to other ab initio calculations and is consistent with the constraints from the nuclear reaction and structure measurements, such as the nucleon-nucleus scattering, the giant resonances of ${}^{208}$Pb, and the Hugenholtz-Van Hove theorem with systematics of nuclear symmetry energy and its slope. The predictions of the neutron-proton effective mass splitting from the RBHF theory in the full Dirac space might be helpful to constrain the isovector parameters in phenomenological density functionals.

14 pages, 4 figures, the same as the online version

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Cited by in corpus (5)

• Microscopic optical potential from the relativistic Brueckner-Hartree-Fock theory: Proton-nucleus scattering
• Influence of the effective mass on the properties of nuclear matter at finite density and temperature
• New Skyrme parametrizations to describe finite nuclei and neutron star matter with realistic effective masses
• Constraining neutron-proton effective mass splitting through nuclear giant dipole resonance within transport approach
• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations