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Continuity-equation constraint in the two-vertex nuclear processes: Radiative muon capture on 16O and 40Ca
Affiliation:1. CREPEC, Department of Chemical Engineering, École Polytechnique de Montréal, Montréal, Québec H3T 1J4, Canada;2. Laboratoire d''étude des matériaux (LEM), Arkema-CERDATO, Serquigny 27470, France;1. Irish Centre for Social Gerontology, Institute for Lifecourse and Society, J.E. Carines School of Business and Economics, University of Galway, Galway, Ireland;2. Population Health Sciences Institute, Newcastle University, Newcastle upon Tyne, NE1 4LP, UK;3. School of Medicine, Dentistry and Biomedical Sciences, Queens University, Belfast, Antrim, Northern Ireland;4. Department of Enterprise and Technology, School of Business, Atlantic Technological University, Galway, Ireland;1. Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany;2. ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany;1. Chemistry Group, Manipal Centre for Natural Sciences, Manipal Academy of Higher Education, Manipal, Karnataka 576 104, India;2. Division of Biotechnology & Bioinformatics, Faculty of Life Sciences, JSS Academy of Higher Education and Research (JSSHER), Mysuru 570 015, Karnataka, India;1. C.M.P.P. Nord Franche-Comté, 1, Rue Olympe-de-Gouges, 90000 Belfort, France;2. Université Bretagne Loire Rennes 2, EA 4050, Rennes, France;3. Université de Franche-Comté, EA 3188, 30-32, Rue Mégevand, CS 81807, 25030 Besançon cedex, France
Abstract:A modified form of the impulse-approximation effective hamiltonian of the nuclear radiative muon capture (RMC) is developed. In the derivation we have used the electromagnetic current-continuity equation; the procedure is actually an extension for the nonzero momentum transfer of the Siegert theorem. Radiative capture rates and spectra of the emitted photons for RMC on 16O and 40Ca are analysed by using the nuclear shell-model wave functions for the calculation of the partial RMC transition rates. The spectra obtained are strongly reduced in comparison with the standard impulse-approximation calculations and agree with the phenomenological results. The main contradiction of recent RMC theoretical works has been resolved in this way.
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