{ "id": "2101.05659", "version": "v1", "published": "2021-01-14T15:16:33.000Z", "updated": "2021-01-14T15:16:33.000Z", "title": "Transfer reactions between odd-odd and even-even nuclei by using IBFFM", "authors": [ "Ruslan MagaƱa Vsevolodovna", "Elena Santopinto", "Roelof Bijker" ], "categories": [ "nucl-th", "nucl-ex" ], "abstract": "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: i) 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; 2) the odd-odd nuclei as described by the old IBFFM are obtained for the first time with the new implementation of Machine Learning (ML) techniques for fitting the parameters, getting a more realistic description. The one body transition densities for $^{116}$Cd $\\rightarrow$ $^{116}$In and $^{116}$In $\\rightarrow$ $^{116}$Sn are part of the experimental program of the NUMEN experiment, which aims to find constraints on Neutrinoless double beta decay matrix elements.", "revisions": [ { "version": "v1", "updated": "2021-01-14T15:16:33.000Z" } ], "analyses": { "keywords": [ "transfer reactions", "even-even nuclei", "boson fermion fermion model", "double beta decay matrix elements", "odd-odd nuclei" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }