A Mathematica program for the calculation of five-body Moshinsky brackets

Abstract

Five-body Moshinsky brackets that relate harmonic oscillator wavefunctions in two different sets of Jacobi coordinates make it straightforward to calculate some matrix elements in the variational calculations of five-body systems. The analytical expression of these transformation coefficients and the computer code written in the Mathematica language are presented here for accurate calculations. Program summaryProgram title: FBMBCatalogue identifier: AEZT_v1_0Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEZT_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.: 15635No. of bytes in distributed program, including test data, etc.: 1498331Distribution format: tar.gzProgramming language: Mathematica.Computer: All computers running Mathematica.Operating system: Operating systems running Mathematica.RAM: 20265384 bytesClassification: 17.17.Nature of problem: The calculation of five-body Moshinsky bracketsSolution method: The method is based on the explicit expressions of five-body Moshinsky brackets presented in [1]Unusual features: The possibility of calculating five-body Moshinsky bracketsRunning time: Less than one second for a single five-body Moshinsky bracket