Semiclassical evaluation of average nuclear one- and two-body matrix elements

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Semiclassical evaluation of average nuclear one- and two-body matrix elements

X. Viñas, P. Schuck, M. Farine, and M. Centelles Departament d’Estructura i Constituents de la Matèria, Facultat de Fı́sica, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, 91406 Orsay-Cédex, France Consulat Général de France à Canton, 339 Huan Shi Dong Lu, 510098 Guangzhou, Canton, China ~Received 21 June 2002; rev...

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- th / 0 20 60 65 v 1 2 6 Ju n 20 02 Semiclassical evaluation of average nuclear one and two body matrix elements

Thomas-Fermi theory is developed to evaluate nuclear matrix elements on the average. One and two body matrix elements are compared with quantal results and it is demonstrated that the semiclassical matrix elements nicely follow the quantal values on the mean. Various physical situations are ad-dresed where the semiclassical evaluation of the one and two body matrix elements can be useful.

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0 20 60 65 v 2 7 A pr 2 00 3 Semiclassical evaluation of average nuclear one and two body matrix elements

Thomas-Fermi theory is developed to evaluate nuclear matrix elements averaged on the energy shell, on the basis of independent particle Hamiltonians. Oneand two-body matrix elements are compared with the quantal results and it is demonstrated that the semiclassical matrix elements, as function of energy, well pass through the average of the scattered quantum values. For the one-body matrix elem...

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Anatomy of the 0νββ nuclear matrix elements

Fedor Šimkovic,1,* Amand Faessler,1 Vadim Rodin,1 Petr Vogel,2 and Jonathan Engel3 1Institute für Theoretische Physik der Universität Tübingen, D-72076 Tübingen, Germany 2Kellogg Radiation Laboratory and Physics Department, Caltech, Pasadena, California 91125, USA 3Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599-3255, USA (Received 9 October ...

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Nuclear G-Matrix Elements from Nonlocal Potentials

We study effects of nonlocality in the nuclear force on the G-matrix elements for finite nuclei. Nuclear G-matrix elements for 16O are calculated in the harmonic oscillator basis from a nonlocal potential which models quark exchange effects between two nucleons. We employ a simple form of potential that gives the same phase shifts as a realistic local nucleon potential. The G-matrix elements ca...

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ژورنال

عنوان ژورنال: Physical Review C

سال: 2003

ISSN: 0556-2813,1089-490X

DOI: 10.1103/physrevc.67.054307