Effect of tensor couplings in a relativistic Hartree approach for finite nuclei

Abstract

The relativistic Hartree approach describing the bound states of both nucleons and antinucleons in finite nuclei has been extended to include tensor couplings for the $\ensuremath{\omega}$ and $\ensuremath{\rho}$ mesons. After readjusting the parameters of the model to the properties of spherical nuclei, the effect of tensor-coupling terms raises the spin-orbit force by a factor of 2, while a large effective nucleon mass ${m}^{*}{/M}_{N}\ensuremath{\approx}0.8$ sustains. The overall nucleon spectra of shell-model states are improved evidently. The predicted antinucleon spectra in the vacuum are deepened about 20--30 MeV.