Abstract
The double Gamow-Teller strength distributions in the lightest double beta-decay candidate 48Ca and its isotope 46Ca were calculated using the nuclear shell model by applying the single Gamow-Teller operator two times sequentially on the ground state of parent nucleus. The nuclear matrix element of the double Gamow- Teller transition from the ground state to the ground state that goes into the double beta decay calculation was shown as a small fraction of the total transition.
Highlights
The double charge-exchange (DCX) processes are a promising tool to study nuclear structure in particular nucleon-nucleon correlations in nuclei
The double Gamow-Teller (DGT) strength is the essential part of the double beta decay transitions
It was suggested in the past that one could probe such states using DCX reactions with light ions [3, 4]
Summary
The double charge-exchange (DCX) processes are a promising tool to study nuclear structure in particular nucleon-nucleon correlations in nuclei. The pion DCX reactions did not excite the states involving the spin, such as the double Gamow-Teller (DGT) state. The present day, DCX reactions are performed using light ions [5]. One hopes that such studies might shed some light on the nature of the nuclear matrix element of the double beta-decay and serve as a “calibration” for the size of this matrix element. These DCX studies might provide new interesting information about nuclear structure
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