Covariant density functional theory: The role of the pion

Abstract

We investigate the role of the pion in Covariant Density Functional Theory. Starting from conventional Relativistic Mean Field (RMF) theory with a non-linear coupling of the $\sigma$-meson and without exchange terms we add pions with a pseudo-vector coupling to the nucleons in relativistic Hartree-Fock approximation. In order to take into account the change of the pion field in the nuclear medium the effective coupling constant of the pion is treated as a free parameter. It is found that the inclusion of the pion to this sort of density functionals does not destroy the overall description of the bulk properties by RMF. On the other hand, the non-central contribution of the pion (tensor coupling) does have effects on single particle energies and on binding energies of certain nuclei.

12 pages, 5 figures

References in corpus (7)

• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Covariant theory of particle-vibrational coupling and its effect on the single-particle spectrum
• Tensor interaction contributions to single-particle energies
• Evolution of nuclear shells with the Skyrme density dependent interaction
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Global nuclear structure aspects of tensor interaction

Cited by in corpus (7)

• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Relativistic Brueckner-Hartree-Fock theory for finite nuclei
• Tensor effects on gap evolution of N=40 from non-relativistic and relativistic mean-field theory
• Spin-orbit splittings of neutron states in $N=20$ isotones from covariant density functionals and their extensions
• Covariant energy density functionals with and without tensor couplings at the Hartree-Bogoliubov level
• Exploring effects of tensor force and its strength via neutron drops
• Tensor-force effects on shell-structure evolution in $N=82$ isotones and $Z=50$ isotopes in the relativistic Hartree-Fock theory