A unified formalism for the basic nuclear matrix elements in semi-leptonic processes
Abstract
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peer reviewed
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Nuclear Physics A
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Description
A general compact formalism, appropriate for the description of transition amplitudes in semi-leptonic processes involving lepton-nucleus interactions, is presented. Closed analytic expressions for the reduced matrix elements of all the basic tensor operators originating from a multipole expansion of the relevant hadronic current density and the use of harmonic oscillator basis are derived. The method improves over the well-known Horie-Sasaki formalism used the last decades as well as over other similar methods employed in nuclear many-body calculations. As a concrete application, we present results of differential cross sections for the neutral-current neutrino-nucleus reaction (98)Mo(v, v')(98)Mo* obtained with state-by-state calculations in the context of the quasi-particle random phase approximation (QRPA). (C) 2009 Elsevier B.V. All rights reserved.
Description
Keywords
lepton-nucleus interactions, multipole matrix elements, harmonic oscillator basis, neutrino-nucleus reactions, double-beta-decay, reactions cross-sections, semi-leptonic weak, electromagnetic-interactions, realistic calculations, muon-capture, dark-matter, conversion, neutrino, moments
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<Go to ISI>://000271484700005
http://ac.els-cdn.com/S0375947409005776/1-s2.0-S0375947409005776-main.pdf?_tid=c88b97c47b8a5e3c06c8474eb1363e09&acdnat=1334228678_6b11433cdcb98adbde949699a343414b
http://ac.els-cdn.com/S0375947409005776/1-s2.0-S0375947409005776-main.pdf?_tid=c88b97c47b8a5e3c06c8474eb1363e09&acdnat=1334228678_6b11433cdcb98adbde949699a343414b
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών και Τεχνολογιών. Τμήμα Βιολογικών Εφαρμογών και Τεχνολογιών