Properties of nuclear matter in relativistic Brueckner-Hartree-Fock model with high-precision charge-dependent potentials

Abstract

Properties of nuclear matter are investigated in the framework of relativistic Brueckner-Hartree-Fock model with the latest high-precision charge-dependent Bonn (pvCD-Bonn) potentials, where the coupling between pion and nucleon is adopted as pseudovector form. These realistic pvCD-Bonn potentials are renormalized to effective nucleon-nucleon ($NN$) interactions, $G$ matrices. They are obtained by solving the Blankenbecler-Sugar (BbS) equation in nuclear medium. Then, the saturation properties of symmetric nuclear matter are calculated with pvCD-Bonn A, B, C potentials. The energies per nucleon are around $-10.72$ MeV to $-16.83$ MeV at saturation densities, $0.139$ fm${}^{-3}$ to $0.192$ fm${}^{-3}$ with these three potentials, respectively. It clearly demonstrates that the pseudovector coupling between pion and nucleon can generate reasonable saturation properties comparing with pseudoscalar coupling. Furthermore, these saturation properties have strong correlations with the tensor components of $NN$ potentials, i.e., the $D$-state probabilities of deuteron, $P_D$ to form a relativistic Coester band. In addition, the charge symmetry breaking (CSB) and charge independence breaking (CIB) effects are also discussed in nuclear matter from the partial wave contributions with these high-precision charge-dependent potentials. In general, the magnitudes of CSB from the differences between $nn$ and $pp$ potentials are about $0.05$ MeV, while those of CIB are around $0.35$ MeV from the differences between $np$ and $pp$ potentials. Finally, the equations of state of asymmetric nuclear matter are also calculated with different asymmetry parameters. It is found that the effective neutron mass is larger than the proton one in neutron-rich matter.

32 pages, 11 figures, 5 tables, accepted by J. Phys. G

References in corpus (16)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Symmetry Energy I: Semi-Infinite Matter
• Results of the ASY-EOS experiment at GSI: The symmetry energy at suprasaturation density
• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Functional renormalization group studies of nuclear and neutron matter
• From asymmetric nuclear matter to neutron stars: a functional renormalization group study
• Equation of State of Nuclear Matter at high baryon density
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Bayesian truncation errors in equations of state of nuclear matter with chiral nucleon-nucleon potentials
• The properties of neutron star from realistic nucleon-nucleon interaction within relativistic Hartree-Fock model

Cited by in corpus (4)

• Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
• Neutron-proton effective mass splitting in neutron-rich matter
• Hadron-quark phase transition in neutron star by combining the relativistic Brueckner-Hartree-Fock theory and Dyson-Schwinger equation approach
• The nuclear symmetry energy from relativistic Brueckner-Hartree-Fock model