English

Energy density functional study of nuclear matrix elements for neutrinoless $\beta\beta$ decay

Nuclear Theory 2010-12-28 v2

Abstract

We present an extensive study of nuclear matrix elements (NME) for the neutrinoless double beta decay of the nuclei 48^{48}Ca, 76^{76}Ge, 82^{82}Se, 96^{96}Zr, 100^{100}Mo, 116^{116}Cd, 124^{124}Sn, 128^{128}Te, 130^{130}Te, 136^{136}Xe, and 150^{150}Nd based on state-of-the-art energy density functional methods using the Gogny D1S functional. Beyond mean-field effects are included within the generating coordinate method with particle number and angular momentum projection for both initial and final ground states. We obtain a rather constant value for the NME's around 4.7 with the exception of 48^{48}Ca and 150^{150}Nd, where smaller values are found. We analyze the role of deformation and pairing in the evaluation of the NME and present detailed results for the decay of 150^{150}Nd.

Keywords

Cite

@article{arxiv.1008.5260,
  title  = {Energy density functional study of nuclear matrix elements for neutrinoless $\beta\beta$ decay},
  author = {Tomás R. Rodríguez and G. Martinez-Pinedo},
  journal= {arXiv preprint arXiv:1008.5260},
  year   = {2010}
}

Comments

accepted in Phys. Rev. Lett

R2 v1 2026-06-21T16:07:23.006Z