10TH International workshop on quantum phase transitions in nuclei and many-body systems

Symmetries of the IBFFM and transfer reactions between odd-odd and even-even nuclei by using IBFFM

13 Jul 2022, 11:30

20m

IUC

Symmetries of interacting boson and/or fermion systems Symmetries of interacting boson and/or fermion systems

Speaker

Elena Santopinto (INFN Genoa)

Description

Symmetries of the IBFFM will be discussed and Spectroscopic Amplitudes (SA) in the Interacting Boson Fermion Fermion Model (IBFFM) are necessary for the computation of $0\nu \beta \beta$ decays but also for cross-sections of heavy-ion reactions, in particular, Double Charge Exchange reactions for the NUMEN collaboration, if one does not want to use the closure limit. We present for the first time: the formalism and operators to compute in a general case the spectroscopic amplitudes in the scheme IBFFM from an even-even to odd-odd nuclei, in a way suited to be used in reaction code, i.e., extracting the contribution of each orbital. The one-body transition densities for ${}^{116}$Cd $\to$ ${}^{116}$In and ${}^{116}$In $\to$ ${}^{116}$Sn are part of the experimental program of the NUMEN experiment, which aims to find constraints on Neutrinoless double beta decay matrix elements [1].

[1] https://arxiv.org/pdf/2101.05659 submitted to PRC