Abstract
We examine the contributions of odd-parity nuclear operators to the two-neutrino double beta decay 0 + → 0 + amplitude, which come from the P-wave Coulomb corrections to the electron wave functions and the recoil corrections to the nuclear currents. Although they are formally of higher order in αZ/2 or v/ c of the nucleon than the usual Fermi and Gamow-Teller matrix elements, explicit calculations performed within the QRPA show that they are significant when compared with the experimental data.
Highlights
The two neutrino double beta decay (2νββ) 0+ → 0+ is the rarest process observed so far in nature. It offers a unique opportunity for testing the nuclear physics techniques for half-lives T12/ν2 ∼ (1019 − 1023) years [1, 2, 3, 4, 5, 6]
We know that in this model the allowed moment MA2ν is very sensitive to the ground state correlation (GSC) within the particle-particle (PP) channel
Motivated by the above arguments and by the hope that some favorable nuclear structure physics could enhance the higher order contributions to M2ν, we study here the effects of the 2νββ matrix elements with L = 1
Summary
The two neutrino double beta decay (2νββ) 0+ → 0+ is the rarest process observed so far in nature. The retardation of the 0+ → 0+ 2νββ transition rates mostly comes from the phase space factor. We know that in this model the allowed moment MA2ν is very sensitive to the ground state correlation (GSC) within the particle-particle (PP) channel.
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