Abstract
The formalism to describe heavy-ion double charge exchange (DCE) processes in the eikonal and small-momentum transfer approximations introduced in Phys. Rev. C 98, 061601(R) (2018) is briefly discussed. It is also shown that, under the previous approximations, the heavy-ion DCE cross-section can be factorized in terms of a reaction and a nuclear part. A double charge exchange effective potential is explicitly derived in the closure approximation and also for the first time the explicit form of the DCE nuclear matrix elements, that are of the form of double Gamow-Teller and double Fermi. The recent hypothesis of a linear correlation between double Gamow-Teller neutrinoless double beta decay and DCE nuclear matrix elements is confirmed thanks to the first explicit derivation of DCE nuclear matrix elements, and by means of microscopic IBM2 calculations.
Highlights
Neutrinoless double beta (0νββ) decays rank as one of the most interesting Beyond the Standard Model processes
It is shown that, under the previous approximations, the heavy-ion double charge exchange (DCE) cross-section can be factorized in terms of a reaction and a nuclear part
A double charge exchange effective potential is explicitly derived in the closure approximation and for the first time the explicit form of the DCE nuclear matrix elements, that are of the form of double Gamow-Teller and double Fermi
Summary
Neutrinoless double beta (0νββ) decays rank as one of the most interesting Beyond the Standard Model processes. A possible mean to overcome these difficulties is to use heavy-ion double-charge exchange (DCE) processes to put constraints on neutrinoless 0νββ nuclear matrix elements. The experiment at LNS-INFN is aiming to extract information to put constraints on some of the nuclear matrix elements relevant to 0νββ decays [15, 16, 17]. All these experiments have triggered a strong theoretical interest [20, 21, 22, 23], including the effort in the improvement of the reaction part [24, 25, 26].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
