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Determination of Strength of Isoscalar Pairing Interaction by a Mathematical Identity in QRPA

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arxiv 1901.06846 v1 pith:XOF6KTQR submitted 2019-01-21 nucl-th nucl-ex

Determination of Strength of Isoscalar Pairing Interaction by a Mathematical Identity in QRPA

classification nucl-th nucl-ex
keywords identityinteractionisoscalarmathematicalmethodpairingstrengthapplied
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abstract

I propose a new method to determine the strength of the isoscalar proton-neutron pairing interaction by a mathematical identity derived in the quasiparticle random-phase approximation. This method is applied for a few nuclei possibly having the neutrinoless double-$\beta$ decay. Reduced half-life, the theoretical quantity necessary for determining the effective neutrino mass, is calculated for $^{48}$Ca.

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