Nuclear moments for the neutrinoless double beta decay II

Abstract

The recently developed formalism for the evaluation of nuclear form factors in neutrinoless double beta decay is applied to ${}^{48}Ca$, ${}^{76}Ge$, ${}^{82}Se$, ${}^{100}Mo$, ${}^{128}Te$ and ${}^{130}Te$ nuclei. Explicit analytical expressions that follows from this theoretical development, in the single mode model for the decay of ${}^{48}Ca$, have been worked out. They are useful both for testing the full numerical calculations, and for analytically checking the consistency with other formalisms. Large configuration space calculations are compared with previous studies, where alternative formulations were used. Yet, besides using the G-matrix as residual interaction, we here use a simple $\delta$-force. Attention is paid to the connected effects of the short range nuclear correlations and the finite nucleon size. Constraints on lepton number violating terms in the weak Hamiltonian (effective neutrino Majorana mass and effective right-handed current coupling strengths) are deduced.

18 pages, latex, minor changes, to appear in Nucl. Phys. A

References in corpus (5)

• Double Beta Decay
• Self consistent random phase approximation within the O(5) model and Fermi transitions
• Relativistic RPA for Isobaric Analogue and Gamow-Teller Resonances in Closed Shell Nuclei
• A large Hilbert space QRPA and RQRPA calculation of neutrinoless double beta decay
• Nuclear moments for the neutrinoless double beta decay

Cited by in corpus (19)

• Double Beta Decay
• Results from a search for the $0\nu \beta \beta$-decay of ${}^{130}Te$
• Short-range correlations and neutrinoless double beta decay
• A Calorimetric Search on Double Beta Decay of 130Te
• A New Limit on the Neutrinoless DBD of 130Te
• Light-neutrino mass hierarchies, nuclear matrix elements, and the observability of neutrinoless double-beta decay
• The IGEX experiment revisited: a response to the critique of Klapdor-Kleingrothaus,Dietz, and Krivosheina
• The Majorana Neutrinoless Double-Beta Decay Experiment
• Neutrino-Nucleus Reactions and Muon Capture in 12C
• Double beta decay of sigma^- hyperons
• RPA puzzle in C(12) weak decay processes
• Double beta decay versus cosmology: Majorana CP phases and nuclear matrix elements
• A Cryogenic Underground Observatory for Rare Events: Cuore, an Update
• QRAP: a numerical code for projected (Q)uasi-particle (RA)ndom (P)hase approximation
• Rho-Nucleon Tensor Coupling and Charge-Exchange Resonances
• Scaling Factor Inconsistencies in Neutrinoless Double Beta Decay
• Partial restoration of spin-isospin SU(4) Symmetry and the One-QRPA method in Double Beta Decay
• Closed expressions for the nuclear moments in semi-leptonic processes
• Neutrinoless $\beta \beta$-Decay in DCEQTDA