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Saturation of nuclear matter in the relativistic Brueckner Hatree-Fock approach with a leading order covariant chiral nuclear force
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Nuclear saturation is a crucial feature in nuclear physics that plays a fundamental role in understanding various nuclear phenomena, ranging from properties of finite nuclei to those of neutron stars. However, a proper description of nuclear saturation is highly nontrivial in modern nonrelativistic~\textit{ab initio}~studies because of the elusive three-body forces. In this letter, we calculate the equation of state for nuclear matter in the relativistic Brueckner-Hartree-Fock (RBHF) framework with the leading order covariant chiral nuclear force. We show that a simultaneous description of the nucleon-nucleon scattering data and the saturation of the symmetric nuclear matter can be achieved. In this regard, the relativistic effects nicely explain the saturation of nuclear matter. As a result, the present study based on the covariant chiral nuclear force shows that in the RBHF framework, one can achieve saturation with a leading order covariant chiral nuclear force with only two-body forces, in contrast to the vast majorities of studies in the non-relativistic framework, where the next-to-next-to-leading order two-body and three-body chiral forces are needed. This study sets the foundation for studying nuclear saturation with the covariant chiral force in the RBHF framework, which allows for a systematic understanding of one of the key features of nuclear physics more microscopically.
Forward citations
Cited by 5 Pith papers
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From bare two-nucleon interaction to nuclear matter and finite nuclei in a relativistic framework
A leading-order relativistic chiral two-nucleon force, with four constants fit to scattering data, describes nuclear matter saturation and medium-mass nuclei binding energies and radii without three-nucleon forces.
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Nuclear and neutron matter in the relativistic Brueckner-Hartree-Fock theory with next-to-leading order covariant chiral nuclear force
The authors find that NLO covariant chiral nuclear forces in relativistic Brueckner-Hartree-Fock theory reproduce the empirical saturation energy, density, and incompressibility of symmetric nuclear matter at cutoff 5...
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Charge dependent nucleon-nucleon potentials in covariant chiral effective field theory
The authors construct charge-dependent nucleon-nucleon potentials up to NNLO in covariant chiral effective field theory and fit their parameters to PWA93 phase shifts.
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In-medium $\Lambda N$ interactions with leading order covariant chiral hyperon/nucleon-nucleon forces
A relativistic Brueckner-Hartree-Fock calculation with leading-order covariant chiral hyperon-nucleon and nucleon-nucleon forces reproduces the empirical Lambda single-particle potential in nuclear matter.
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Relativistic chiral nuclear forces: status and prospects
A review of the relativistic chiral nuclear force, presenting the Beihang group's own NNLO results for nucleon-nucleon scattering and promising faster convergence than the standard Weinberg approach.
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