${2\nu}$ Double Beta Decay within the Relativistic QRPA

Cláudio De Conti; Francisco Krmpotić; Brett Vern Carlson

${2\nu}$ Double Beta Decay within the Relativistic QRPA

Nuclear Theory 2012-02-17 v1

Authors: Cláudio De Conti , Francisco Krmpotić , Brett Vern Carlson

Abstract

We perform a self-consistent relativistic QRPA (RQRPA) calculation of $2\nu\b\b$ -decay based on relativistic BCS (RBCS) mean field theory results for odd-odd intermediate nuclei $^{48}$ Sc, $^{76}$ As, $^{82}$ Br, $^{100}$ Tc, $^{128}$ I, and $^{130}$ I. The RBCS equations that resemble the non-relativistic ones are constructed from a Dirac-Gorkov variational functional. We use the parameter set $NL1$ for the $\sigma$ , $\omega$ and $\rho$ mesons. The RQRPA equations are solved for the residual $\pi+\rho$ interaction by employing the same parameters used in the RBCS for the latter meson, and experimental values for the pion and nucleon. The RQRPA results for the ${2\nu}\b\b$ matrix elements are similar to those obtained within the QRPA and the shell model.

Keywords

double beta decay relativistic QRPA relativistic BCS self-consistent calculation matrix elements odd-odd nuclei

Cite

@article{arxiv.1202.3511,
  title  = {${2\nu}$ Double Beta Decay within the Relativistic QRPA},
  author = {Cláudio De Conti and Francisco Krmpotić and Brett Vern Carlson},
  journal= {arXiv preprint arXiv:1202.3511},
  year   = {2012}
}

Comments

8 pages, XXXIV edition of the Brazilian Workshop on Nuclear Physics, 5-10 June 2011, Foz de Igua\c{c}u, Paran\'a state, Brasil

${2\nu}$ Double Beta Decay within the Relativistic QRPA

Abstract

Keywords

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