On generation of the Bargmann-Moshinsky basis of SU(3) group

An efficient procedure of orthonormalisation of the Bargmann-Moshinsky (BM) basis is examined using analytical formulas of the overlap integrals of the BM basis. Calculations of components of the quadrupole operator between the both BM and the orthonormalised bases needed for construction of the nuclear models are tested. The proposed procedure is also implemented as the Fortran program. © 2019 Published under licence by IOP Publishing Ltd.

Authors
Vinitsky S. 1, 2 , Burdik Č.1, 3 , Gusev A.1 , Deveikis A.4 , Góźdź A. 5 , Pȩdrak A. 6 , Krassovitskiy P.M. 7
Conference proceedings
Journal of Physics: Conference Series
Publisher
Institute of Physics Publishing
Number of issue
1
Language
English
Status
Published
DOI
10.1088/1742-6596/1194/1/012109
Number
012109
Volume
1194
Year
2019
Organizations
  • 1 Joint Institute for Nuclear Research, Dubna, Russian Federation
  • 2 RUDN University, 6 Miklukho-Maklaya, Moscow, 117198, Russian Federation
  • 3 Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Prague, Czech Republic
  • 4 Department of Applied Informatics, Vytautas Magnus University, Kaunas, Lithuania
  • 5 Institute of Physics, Maria Curie-Sklodowska University, Lublin, Poland
  • 6 National Centre for Nuclear Research, Warsaw, Poland
  • 7 Institute of Nuclear Physics, Almaty, Kazakhstan
Keywords
Chemical bonds; Molecular orbitals; Wave functions; Analytical formulas; FORTRAN programs; Nuclear model; Overlap integrals; Quadrupole operators; Group theory
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