New effective interactions for hypernuclei in density dependent relativistic mean field model

Abstract

New effective $\Lambda N$ interactions are proposed for the density dependent relativistic mean field model. The multidimensionally constrained relativistic mean field model is used to calculate ground state properties of eleven known $\Lambda$ hypernuclei with $A\ge 12$ and the corresponding core nuclei. Based on effective $NN$ interactions DD-ME2 and PKDD, the ratios $R_{\sigma }$ and $R_{\omega }$ of scalar and vector coupling constants between $\Lambda N$ and $NN$ interactions are determined by fitting calculated $\Lambda$ separation energies to experimental values. We propose six new effective interactions for $\Lambda$ hypernuclei: DD-ME2-Y1, DD-ME2-Y2, DD-ME2-Y3, PKDD-Y1, PKDD-Y2 and PKDD-Y3 with three ways of grouping and including these eleven hypernuclei in the fitting. It is found that the two ratios $R_{\sigma }$ and $R_{\omega }$ are correlated well and there holds a good linear relation between them. The statistical errors of the ratio parameters in these effective interactions are analyzed. These new effective interactions are used to study the equation of state of hypernuclear matter and neutron star properties with hyperons.

11 pages, 4 figures

References in corpus (24)

• A Massive Pulsar in a Compact Relativistic Binary
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• New Hyperon Equations of State for Supernovae and Neutron Stars in Density-dependent Hadron Field Theory
• Hyperon-nucleon interactions - a chiral effective field theory approach
• Microscopic justification of the Equal Filling approximation
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Relativistic model for nuclear matter and atomic nuclei with momentum-dependent self-energies
• Nuclear Physics from Lattice QCD
• Tables of Hyperonic Matter Equation of State for Core-Collapse Supernovae
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Deformation of Lambda hypernuclei
• Constraining hypernuclear density functional with $\Lambda$-hypernuclei and compact stars
• Chiral EFT based nuclear forces: Achievements and challenges
• Deformation of hypernuclei studied with antisymmetirzed molecular dynamics
• Superdeformed $\Lambda$ hypernuclei from relativistic mean field models
• Shape of Lambda hypernuclei in (beta,gamma) deformation plane
• Nonaxial-octupole Y_{32} correlations in N = 150 isotones from multidimensional constrained covariant density functional theories
• Double-$\Lambda$ hypernuclei in the relativistic mean-field theory
• Multidimensionally-constrained relativistic mean-field study of triple-humped barriers in actinides
• Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods
• Reflection asymmetric relativistic mean field approach and its application to the octupole deformed nucleus ${}^{226}$Ra
• Ground state properties and potential energy surfaces of ${}^{270}$Hs from multidimensionally-constrained relativistic mean field model
• Effective interactions of hyperons and mass-radius relation of neutron stars

Cited by in corpus (4)

• Astrophysical implications on hyperon couplings and hyperon star properties with relativistic equations of states
• Microscopic study of higher-order deformation effects on the ground states of superheavy nuclei around ${}^{270}$Hs
• The interplay of single-particle and collective motions in the low-lying states of ${}_{\Lambda }^{21}$Ne with quadrupole-octupole correlations
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei