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

## Abstract

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_equal}28 and Z{approx_equal}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}{sup -}-decay rates.

- Authors:

- Physics Department, Faculty of Science, University of Zagreb, Croatia, and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching (Germany)
- (Germany)

- Publication Date:

- OSTI Identifier:
- 20991005

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.75.024304; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BETA DECAY; DENSITY; GROUND STATES; LAGRANGIAN FUNCTION; MEAN-FIELD THEORY; MESONS; NEUTRON-RICH ISOTOPES; NEUTRONS; PARTICLE INTERACTIONS; PROTONS; RANDOM PHASE APPROXIMATION; RELATIVISTIC RANGE; SELF-ENERGY

### Citation Formats

```
Marketin, T., Vretenar, D., Ring, P., and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching.
```*Calculation of {beta}-decay rates in a relativistic model with momentum-dependent self-energies*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.024304.

```
Marketin, T., Vretenar, D., Ring, P., & Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching.
```*Calculation of {beta}-decay rates in a relativistic model with momentum-dependent self-energies*. United States. doi:10.1103/PHYSREVC.75.024304.

```
Marketin, T., Vretenar, D., Ring, P., and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching. Thu .
"Calculation of {beta}-decay rates in a relativistic model with momentum-dependent self-energies". United States.
doi:10.1103/PHYSREVC.75.024304.
```

```
@article{osti_20991005,
```

title = {Calculation of {beta}-decay rates in a relativistic model with momentum-dependent self-energies},

author = {Marketin, T. and Vretenar, D. and Ring, P. and Physik-Department der Technischen Universitaet Muenchen, D-85748 Garching},

abstractNote = {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_equal}28 and Z{approx_equal}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}{sup -}-decay rates.},

doi = {10.1103/PHYSREVC.75.024304},

journal = {Physical Review. C, Nuclear Physics},

number = 2,

volume = 75,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}