6533b7d7fe1ef96bd1268282

RESEARCH PRODUCT

ββ2νdecay in48Ca

S. NogueraM. T. CapillaB. Desplanques

subject

Nuclear physicsPhysicsNuclear and High Energy PhysicsAmplitude010308 nuclear & particles physicsOperator (physics)0103 physical sciencesStrong interactionBeta (velocity)010306 general physics01 natural sciencesSymmetry (physics)Mathematical physics

description

A schematic study of the $\ensuremath{\beta}\ensuremath{\beta}2\ensuremath{\nu}$ decay of ${}^{48}\mathrm{Ca}$ is made in a shell-model approach. The emphasis is especially put on the role of the spin-orbit potential in relation with the contribution of other terms in the strong interaction. This is discussed with a particular attention to the behavior of these ones under the SU(4) symmetry. Different methods in calculating the transition amplitude are also looked at with the aim to determine their reliability and, eventually, why they do not work. Further aspects relative to the failure of the operator expansion method to reproduce the results of more elaborate calculations are examined.

https://doi.org/10.1103/physrevc.63.055503