Nuclear structure studies of double Gamow-Teller strength

Abstract

The double Gamow-Teller strength distributions in even-$A$ Calcium isotopes were calculated using the nuclear shell model by applying the single Gamow-Teller operator two times sequentially on the ground state of the parent nucleus. The number of intermediate states actually contributing to the results was determined. The sum rules for the double Gamow-Teller operator in the full calculation were approximately fulfilled. In the case that the symmetry is restored approximately by introducing degeneracies of the $f$-levels, and the $p$-levels in the $fp$-model space, the agreement with the sum rules was very close.

arXiv comment19 pages, 21 figures. arXiv admin note: text overlap with arXiv:1808.07323

References in corpus (7)

• Shell model study of the isobaric chains A=50, A=51 and A=52
• The NUMEN project: NUclear Matrix Elements for Neutrinoless double beta decay
• Heavy-ion double charge exchange reactions: a tool towards 0v\b{eta}\b{eta} nuclear matrix elements
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Cited by in corpus (6)

• Toward the discovery of matter creation with neutrinoless double-beta decay
• From bound states to the continuum
• A Nuclear Structure Model for Double Charge-Exchange Processes
• Double charge-exchange phonon states
• Systematic analysis of double Gamow-Teller sum rules
• Neutrinoless $\beta \beta$-Decay in DCEQTDA