Beta-delayed particle emission and collective rotations

Le résumé fourni par la source

Abstract Beta-delayed proton emission in the lower half of the sd-shell will involve deformed nuclei. We derive the normalized matrix element connecting emission of one particle from an initial rotational nuclear state to another final rotating state, and we extract selection rules involving the K quantum number. The initial state is approximated as having a core identical to the final nuclear state. The formalism is then directly applicable to $$\beta ^+$$ β + -delayed proton decays of even-Z, odd-N nuclei or $$\beta ^-$$ β - -delayed neutron decays of odd-Z, even N nuclei. These beta-decay results are compared to the outcomes of possible transfer reactions. As an example the beta-delayed proton emission of $$^{21}$$ 21 Mg is considered, where new structure information is obtained and quantum numbers assigned to several states in $$^{21}$$ 21 Na.

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