Low-momentum interactions with Brown-Rho-Ericson scalings and the density dependence of the nuclear symmetry energy

Abstract

We have calculated the nuclear symmetry energy $E_{sym}(\rho )$ up to densities of $4\sim 5{\rho }_0$ with the effects from the Brown-Rho (BR) and Ericson scalings for the in-medium mesons included. Using the $V_{low-k}$ low-momentum interaction with and without such scalings, the equations of state (EOS) of symmetric and asymmetric nuclear matter have been calculated using a ring-diagarm formalism where the particle-particle-hole-hole ring diagrams are included to all orders. The EOS for symmetric nuclear matter and neutron matter obtained with linear BR scaling are both overly stiff compared with the empirical constraints of Danielewicz {\it et al.} \cite{daniel02}. In contrast, satisfactory results are obtained by either using the nonlinear Ericson scaling or by adding a Skyrme-type three-nucleon force (TNF) to the unscaled $V_{low-k}$ interaction. Our results for $E_{sym}(\rho )$ obtained with the nonlinear Ericson scaling are in good agreement with the empirical values of Tsang {\it et al.} \cite{tsang09} and Li {\it et al.} \cite{li05}, while those with TNF are slightly below these values. For densities below the nuclear saturation density ${\rho }_0$, the results of the above calculations are nearly equivalent to each other and all in satisfactory agreement with the empirical values.

7 pages, 6 figures

References in corpus (8)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Isospin-dependent properties of asymmetric nuclear matter in relativistic mean-field models
• Dirac-Brueckner-Hartree-Fock calculations for isospin asymmetric nuclear matter based on improved approximation schemes
• Shell model description of the 14C dating beta decay with Brown-Rho-scaled NN interactions
• Nuclear matter with Brown-Rho-scaled Fermi liquid interactions
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• Low-momentum ring diagrams of neutron matter at and near the unitary limit
• Light Vector Mesons

Cited by in corpus (1)

• Core polarization, Brown-Rho scaling and a memory of Gerry's Princeton years