Calculation of beta-decay rates in a relativistic model with momentum-dependent self-energies

Details Calculation of beta-decay rates in a relativistic model with momentum-dependent self-energies Calculation of beta-decay rates in a relativistic model with momentum-dependent self-energies

2007-01-10

arxiv.org/abs/nucl-th/0701025v1

Phys.Rev.C75:024304,2007

Physics

Nuclear Physics

Nuclear Theory

16 pages, 3 figures, submitted to Physical Review C

Scientific paper

10.1103/PhysRevC.75.024304

The relativistic proton-neutron quasiparticle random phase approximation (PN-RQRPA) is applied in the calculation of beta-decay half-lives of neutron-rich nuclei in the $Z\approx 28$ and $Z\approx 50$ regions. The study is based on the relativistic Hartree-Bogoliubov calculation of nuclear ground-states, using effective Lagrangians with density-dependent meson-nucleon couplings, and also extended by the inclusion of couplings between the isoscalar meson fields and the derivatives of the nucleon fields. This leads to a linear momentum dependence of the scalar and vector nucleon self-energies. The residual QRPA interaction in the particle-hole channel includes the $\pi + \rho$ exchange plus a Landau-Migdal term. The finite-range Gogny interaction is employed in the T=1 pairing channel, and the model also includes a proton-neutron particle-particle interaction. The results are compared with available data, and it is shown that an extension of the standard relativistic mean-field framework to include momentum-dependent nucleon self-energies naturally leads to an enhancement of the effective (Landau) nucleon mass, and thus to an improved PN-QRPA description of beta-decay rates.

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