A One-Particle Generalized Coefficients of Fractional Parentage Calculation Method for Atomic Nucleus Harmonic Oscillator Shell Model

• Main Author: Algirdas Deveikis
• Format: Article
• Language: English
• Published: Klaipėda University 2020-01-01
• Series: Computational Science and Techniques
• Online Access: http://journals.ku.lt/index.php/CST/article/view/1763

<p>A method for the calculation of the one-particle generalized coefficients of fractional parentage for several j-orbits with isospin and an arbitrary number of oscillator quanta (generalized CFPs or GCFPs) is presented. The approach is based on a simple enumeration scheme for antisymmetric many-particle states, an efficient algorithm for calculation of the CFPs for a single j-orbit with isospin, and a general procedure for computation of the angular momentum (isospin) recoupling coefficients describing the transformation between different momentum coupling schemes. The method provides fast calculation of GCFPs for a given particle number and produces results possessing small numerical uncertainties. The introduced GCFPs may be used for calculation of expectation values of one-particle nuclear shell-model operators within the isospin formalism.</p><p><a href="https://doi.org/10.15181/csat.v7i0.1763">https://doi.org/10.15181/csat.v7i0.1763</a></p>