6533b7d6fe1ef96bd1266e2f
RESEARCH PRODUCT
0νββand2νββnuclear matrix elements in the interacting boson model with isospin restoration
J. BareaJ. KotilaJ. KotilaFrancesco Iachellosubject
PhysicsSemileptonic decayNuclear and High Energy PhysicsParticle physics010308 nuclear & particles physicsIsospin0103 physical sciencesBeta (velocity)Interacting boson model010306 general physics01 natural sciencesNuclear theorydescription
We introduce a method for isospin restoration in the calculation of nuclear matrix elements (NMEs) for $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ and $2\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ decay within the framework of the microscopic interacting boson model (IBM-2). With this method, we calculate the NMEs for all processes of interest in $0\ensuremath{\nu}{\ensuremath{\beta}}^{\ensuremath{-}}{\ensuremath{\beta}}^{\ensuremath{-}}$ and $2\ensuremath{\nu}{\ensuremath{\beta}}^{\ensuremath{-}}{\ensuremath{\beta}}^{\ensuremath{-}}$ and in $0\ensuremath{\nu}{\ensuremath{\beta}}^{+}{\ensuremath{\beta}}^{+}$, $0\ensuremath{\nu}\mathrm{EC}{\ensuremath{\beta}}^{+}$, $R0\ensuremath{\nu}\mathrm{ECEC}$, $2\ensuremath{\nu}{\ensuremath{\beta}}^{+}{\ensuremath{\beta}}^{+}$, $2\ensuremath{\nu}\mathrm{EC}{\ensuremath{\beta}}^{+}$, and $2\ensuremath{\nu}\mathrm{ECEC}$. With this method, the Fermi matrix elements for $2\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ vanish, and those for $0\ensuremath{\nu}\ensuremath{\beta}\ensuremath{\beta}$ are considerably reduced.
year | journal | country | edition | language |
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2015-03-02 | Physical Review C |