Please use this identifier to cite or link to this item:https://hdl.handle.net/20.500.12259/40490
Type of publication: Straipsnis Clarivate Analytics Web of Science ar/ir Scopus / Article in Clarivate Analytics Web of Science or / and Scopus (S1)
Field of Science: Matematika / Mathematics (N001)
Author(s): Deveikis, Algirdas;Kalinauskas, Ramutis Kazys;Barrett, B. R
Title: Calculation of coefficients of fractional parentage for large-basis harmonic-oscillator shell model
Is part of: Annals of physics. San Diego : Elsevier Science, Vol. 296, iss. 2 (2002)
Extent: p. 287-298
Date: 2002
Keywords: Mathematical methods in physics;Algebraic methods;Nuclear shell model
Abstract: A new procedure for large-scale calculations of the coefficients of fractional parentage (CFPs) for a single j-orbit with isospin is presented, The approach is based on a simple enumeration scheme for antisymmetric A-particle states and an efficient method for constructing the eigenvectors of an idempotent matrix. We investigate the characteristics of the introduced CFP basis and the application of this procedure to the ab initio harmonic-oscillator shell-model approach. The results of CFP calculations for the j = 1/ 2,...,41/2 orbits are presented (the full sets of one-particle and two-particle CFPs up to the j = 9/2 orbit are obtained). The new computer code for calculation of the CFPs proves to be very quick, efficient, and numerically stable and produces results possessing only small numerical uncertainties
Internet: https://doi.org/10.1006/aphy.2002.6229
Affiliation(s): Fizikos institutas
Informatikos fakultetas
Vytauto Didžiojo universitetas
Appears in Collections:Universiteto mokslo publikacijos / University Research Publications

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