Exploring the Parameter Space of pvCD-Bonn Potentials under Constraints from Nuclear Saturation Properties

Abstract

We explore the parameter space of the pvCD-Bonn B potential within the relativistic Brueckner--Hartree--Fock framework under the constraints from the empirical saturation properties of symmetric nuclear matter. We first examine the effects of the scalar-meson and pion coupling constants. Changing the σ-meson couplings in the ¹S₀ and ³S₁--³D₁ channels alone cannot reproduce the empirical saturation density and binding energy at the same time, whereas increasing g_π moves the saturation point toward the empirical region. However, changing g_π alone also affects the deuteron properties and tensor-sensitive observables. We therefore extend the parameter search by varying the ρ-meson tensor coupling f_ρ/g_ρ and readjusting the effective σ-meson couplings in the ¹S₀ and ³P₀ channels. Four representative parameter sets with g_π²/4π=14.7--15.0 give deuteron properties close to the experimental values and maintain a reasonable description of the main neutron--proton phase shifts and differential cross sections at E_lab=50 and 212 MeV. Their saturation densities lie in the range $0.159−−0.161~\mathrm{fm}^{-3}$, with saturation energies between −15.00 and −15.38 MeV. For the interactions obtained by varying g_π, the neutron-star mass--radius relations show only a weak dependence on the pion coupling, with maximum masses of about $2.24−−2.28\,M_\odot$ and radii of about $12.3−−12.6~\mathrm{km}$ at 1.4 M_⊙. These results show that including the ρ-meson tensor coupling and partial-wave-dependent σ-meson couplings provides a better balance between free-space two-nucleon observables and nuclear-matter saturation properties than varying the pion coupling alone.

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BibTeX RIS

BibTeX

@misc{nan2026exploring,
  title = {{Exploring the Parameter Space of pvCD-Bonn Potentials under Constraints from Nuclear Saturation Properties}},
  author = {Ke Nan and Chencan Wang and Jinniu Hu and Ying Zhang and Hong Shen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29801},
  eprint = {2609.29801},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29801},
}

RIS

TY  - UNPB
TI  - Exploring the Parameter Space of pvCD-Bonn Potentials under Constraints from Nuclear Saturation Properties
AU  - Ke Nan
AU  - Chencan Wang
AU  - Jinniu Hu
AU  - Ying Zhang
AU  - Hong Shen
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29801
UR  - https://arxiv.org/abs/2609.29801
AB  - We explore the parameter space of the pvCD-Bonn B potential within the relativistic Brueckner--Hartree--Fock framework under the constraints from the empirical saturation properties of symmetric nuclear matter. We first examine the effects of the scalar-meson and pion coupling constants. Changing the σ-meson couplings in the ^1S_0 and ^3S_1--^3D_1 channels alone cannot reproduce the empirical saturation density and binding energy at the same time, whereas increasing g_π moves the saturation point toward the empirical region. However, changing g_π alone also affects the deuteron properties and tensor-sensitive observables. We therefore extend the parameter search by varying the ρ-meson tensor coupling f_ρ/g_ρ and readjusting the effective σ-meson couplings in the ^1S_0 and ^3P_0 channels. Four representative parameter sets with g_π^2/4π=14.7--15.0 give deuteron properties close to the experimental values and maintain a reasonable description of the main neutron--proton phase shifts and differential cross sections at E_lab=50 and 212 MeV. Their saturation densities lie in the range $0.159−−0.161~\mathrm{fm}^{-3}$, with saturation energies between −15.00 and −15.38 MeV. For the interactions obtained by varying g_π, the neutron-star mass--radius relations show only a weak dependence on the pion coupling, with maximum masses of about $2.24−−2.28\,M_\odot$ and radii of about $12.3−−12.6~\mathrm{km}$ at 1.4 M_⊙. These results show that including the ρ-meson tensor coupling and partial-wave-dependent σ-meson couplings provides a better balance between free-space two-nucleon observables and nuclear-matter saturation properties than varying the pion coupling alone.
ER  -

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