Calculation of four-particle harmonic-oscillator transformation brackets

A procedure for precise calculation of the three- and four-particle harmonic-oscillator (HO) transformation brackets is presented. The analytical expressions of the four-particle HO transformation brackets are given. The computer code for the calculations of HO transformation brackets proves to be quick, efficient and produces results with small numerical uncertainties.Program summaryProgram title: HOTBCatalogue identifier: AEFQ_v1_0Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEFQ_v1_0.htmlProgram obtainable from: CPC Program Library, Queen's University, Belfast, N. IrelandLicensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.htmlNo. of lines in distributed program, including test data, etc.: 1247No. of bytes in distributed program, including test data, etc.: 6659Distribution format: tar.gzProgramming language: FORTRAN 90Computer: Any computer with FORTRAN 90 compilerOperating system: Windows, Linux, FreeBSD, True64 UnixRAM: 8 MBClassification: 17.17Nature of problem: Calculation of the three-particle and four-particle harmonic-oscillator transformation brackets.Solution method: The method is based on compact expressions of the three-particle harmonics oscillator brackets, presented in [1] and expressions of the four-particle harmonics oscillator brackets, presented in this paper.Restrictions:   The three- and four-particle harmonic-oscillator transformation brackets up to the e=28e=28.Unusual features: Possibility of calculating the four-particle harmonic-oscillator transformation brackets.Running time: Less than one second for the single harmonic-oscillator transformation bracket.References:[1]G.P. Kamuntavičius, R.K. Kalinauskas, B.R. Barret, S. Mickevičius, D. Germanas, Nuclear Physics A 695 (2001) 191.