Description of double beta decay within continuum-QRPA

Details Description of double beta decay within continuum-QRPA Description of double beta decay within continuum-QRPA

2007-07-18

arxiv.org/abs/0707.2742v2

Phys.Rev.C77:025502,2008

Physics

Nuclear Physics

Nuclear Theory

20 pages, 1 figure, published version

Scientific paper

10.1103/PhysRevC.77.025502

A method to calculate the nuclear double beta decay ($2\nu\beta\beta$- and $0\nu\beta\beta$-) amplitudes within the continuum random phase approximation (cQRPA) is formulated. Calculations of the $\beta\beta$ transition amplitudes within the cQRPA are performed for ^{76}Ge, ^{100}Mo and ^{130}Te. A rather simple nuclear Hamiltonian consisting of phenomenological mean field and zero-range residual particle-hole and particle-particle interaction is used. The calculated M^{2\nu} are almost not affected when the single-particle continuum is taken into account. At the same time, a regular suppression of the $0\nu\beta\beta$-amplitude is found that can be associated with additional ground state correlations due to collective states in the continuum. It is expected that future inclusion of the nucleon pairing in the single-particle continuum will somewhat compensate the suppression.

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