A program for generating one-particle and two-particle coefficients of fractional parentage for the single j-orbit with isospin

Abstract

The program CFPjOrbit written in FORTRAN 90 is aimed at generating the list of one-particle and two-particle coefficients of fractional parentage (CFPs) for the single j-orbit with isospin. 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 as proposed in [A. Deveikis, R.K. Kalinauskas, B.R. Barrett, Ann. Phys. 296 (2002) 287]. The program provides fast calculation of coefficients of fractional parentage for high j-orbits with isospin and produces results that have only small numerical uncertainties. The auxiliary program EnumCFP allows one to perform enumeration of the coefficients. Program summary Title of program: CFPjOrbit, EnumCFP Catalogue identifier:ADWI Program summary URL: http://cpc.cs.qub.ac.uk/summaries/ADWI Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland Licensing provisions:none Computers:Any computer with a FORTRAN 90 compiler Operating systems under which the program has been tested:Windows 2000 Programming language used:FORTRAN 90 Memory required to execute with typical data:100 MB No. of lines in programs, including test data, etc.:4855 No. of bytes in distributed programs, including test data, etc.:26 484 Distribution format:tar.gz Nature of the physical problem:Generating the list of one-particle and two-particle coefficients of fractional parentage for the single j-orbit with isospin. Method of solution:The method is based on the algorithm presented in [A. Deveikis, R.K. Kalinauskas, B.R. Barrett, Ann. Phys. 296 (2002) 287] for the spectral decomposition of an antisymmetrization operator matrix Y. The coefficients of fractional parentage are the eigenvectors of a certain antisymmetrization operator matrix Y that correspond to its unit eigenvalues. Restrictions on the complexity of the problem:The full sets of one-particle and two-particle coefficients of fractional parentage up to the j = 9 / 2 orbit; the number of particles in the higher j-orbits should be restricted. The enumeration of coefficients of fractional parentage up to the j = 15 / 2 orbit; the number of particles in the higher j-orbits should be restricted. Unusual features of the program:Possibility to select subsets of one-particle and two-particle coefficients of fractional parentage for calculation. Typical running time:Of the order of a few seconds for lower j-orbits to hours for the complete j = 9 / 2 orbit calculations.