Proton pair correlations and the neutrinoless double-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow/><mml:mn>76</mml:mn></mml:msup></mml:math>Ge
A. RobertsDepartment of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USAA. HowardDepartment of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USAJ. J. KolataDepartment of Physics, University of Notre Dame, Notre Dame, Indiana 46556, USAA. N. VillanoDepartment of Physics, University of Minnesota, Minneapolis, Minnesota 55455, USAF. D. BecchettiDepartment of Physics, University of Michigan, Ann Arbor, Michigan 48109, USAP. DeYoungDepartment of Physics, Hope College, Holland, Michigan 49422, USAM. FebbraroDepartment of Physics, University of Michigan, Ann Arbor, Michigan 48109, USAS. J. FreemanSchool of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, United KingdomB. P. KayDepartment of Physics, University of York, York, YO10 5DD, United KingdomS. A. McAllisterSchool of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, United KingdomA. J. MitchellSchool of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, United KingdomJ. P. SchifferPhysics Division, Argonne National Laboratory, Argonne, Illinois 60439, USAJ. S. ThomasSchool of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, United KingdomR. O. Torres-IseaDepartment of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
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Аннотация
Proton pair correlations relevant for the neutrinoless double-$\ensuremath{\beta}$ decay of ${}^{76}$Ge have been probed via the ${}^{74,76}$Ge(${}^{3}$He,$n$) reactions at 16 MeV. No evidence for pairing vibrations in either nucleus is observed at sensitivity limits of $\ensuremath{\sim}$6$%$ and $\ensuremath{\sim}$19$%$ of the ground-state strength in ${}^{76}$Se and ${}^{78}$Se, respectively. These results are relevant for the understanding of matrix elements for neutrinoless double-$\ensuremath{\beta}$ decay. The lack of pairing vibrations is consistent with a simple BCS structure for the ground states of ${}^{76}$Ge and ${}^{76}$Se, assumed in quasiparticle random phase approximation (QRPA) models of the process.
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