A relation among the effective nucleon mass, the incompressibility and the effective $\sigma$-meson mass in nuclear matter

Abstract

A relation among the effective nucleon mass $M^{\ast }$, the incompressibility $K$ and the effective $\sigma$-meson mass $m_{\mathrm{s}}^{\ast }$ in nuclear matter is studied by using the relativistic nuclear model. We found that there is a strong correlation between $M^{\ast }$ and $m_{\mathrm{s}}^{\ast }$, while there is only a weak correlation between $K$ and $m_{\mathrm{s}}^{\ast }$. At the normal density, $m_{\mathrm{s}}^{\ast }$ is smaller than the one at zero density, if $M^{\ast }$ is smaller than 0.8 times of the nucleon mass at zero density. It is also found that the off-shell effective mass ${\mu }_{\mathrm{s}}^{\ast }$ is related directly to $K$ and $M^{\ast }$ at the normal density.

10 pages, containing 7 eps figures

References in corpus (1)

• Effective Vector Meson Masses in a Cutoff Field Theory

Cited by in corpus (6)

• Equation of state of isospin-asymmetric nuclear matter in relativistic mean-field models with chiral limits
• Dispersion relation of the $\rho$ meson in hot/dense nuclear matter
• In-medium meson effects on the equation of state of hot and dense nuclear matter
• Effective meson masses, effective meson-nucleon couplings and neutron star radii
• Effective hadron masses and effective interactions in nuclear matter
• Effective hadron masses and couplings in nuclear matter and incompressibility