The $\lambda$ mechanism of the $0\nu \beta \beta$-decay

Abstract

The $\lambda$ mechanism ($W_L$-$W_R$ exchange) of the neutrinoless double beta decay ($0\nu \beta \beta$-decay), which has origin in left-right symmetric model with right-handed gauge boson at TeV scale, is investigated. The revisited formalism of the $0\nu \beta \beta$-decay, which includes higher order terms of nucleon current, is exploited. The corresponding nuclear matrix elements are calculated within quasiparticle random phase approximation with partial restoration of the isospin symmetry for nuclei of experimental interest. A possibility to distinguish between the conventional light neutrino mass ($W_L$-$W_L$ exchange) and $\lambda$ mechanisms by observation of the $0\nu \beta \beta$-decay in several nuclei is discussed. A qualitative comparison of effective lepton number violating couplings associated with these two mechanisms is performed. By making viable assumption about the seesaw type mixing of light and heavy neutrinos with the value of Dirac mass $m_D$ within the range $1\text{MeV}<m_D<1\text{GeV}$, it is concluded that there is a dominance of the conventional light neutrino mass mechanism in the decay rate.

arXiv comment9 pages, 5 figures

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Cited by in corpus (4)

• Nuclear matrix elements for $\lambda$ mechanism of $0\nu \beta \beta$ of ${}^{48}$Ca in nuclear shell-model: Closure versus nonclosure approach
• Nuclear matrix elements of neutrinoless double-beta decay in covariant density functional theory with different mechanisms
• $0\nu \beta \beta$ to the first $2^{+}$ state with two-nucleon mechanism for L-R symmetric model
• Nuclear transition matrix elements for neutrinoless double-$\beta$ decay within mechanisms involving light Majorana neutrino mass and right-handed current