Symbolic-Numeric Algorithm for Calculations in Geometric Collective Model of Atomic Nuclei

We developed a symbolic–numeric algorithm involving a set of effective symbolic and numerical procedures for calculations of low lying energy spectra and eigenfunctions of atomic nuclei. The eigenfunctions are expanded over the orthonormal noncanonical U(5 ) ⊃ O(5 ) ⊃ O(3 ) basis in Geometric Collective Model. We give implementation of the algorithm and procedures in Wolfram Mathematica. We present benchmark calculations of energy spectrum, quadrupole moment and the reduced upwards transition probability B(E2) for the nucleus 186 Os. © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

Authors
Deveikis A. , Gusev A.A. , Vinitsky S.I. , Blinkov Y.A. , Góźdź A. , Pȩdrak A. , Hess P.O.
Conference proceedings
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publisher
Springer Science and Business Media Deutschland GmbH
Language
English
Pages
103-123
Status
Published
DOI
10.1007/978-3-031-14788-3_7
Volume
13366 LNCS
Year
2022
Organizations
  • 1 Vytautas Magnus University, Kaunas, Lithuania
  • 2 Joint Institute for Nuclear Research, Dubna, Russian Federation
  • 3 RUDN University, 6 Miklukho-Maklaya, Moscow, 117198, Russian Federation
  • 4 Institute of Physics, Maria Curie-Skłodowska University, Lublin, Poland
  • 5 National Centre for Nuclear Research, Warsaw, Poland
  • 6 Instituto de Ciencias Nucleares, UNAM, Circuito Exterior, C.U., A.P. 70-543, Mexico D.F., 04510, Mexico
  • 7 Frankfurt Institute for Advanced Studies, Frankfurt am Main, 60438, Germany
Keywords
Atomic nuclei; Geometric Collective Model; Gram-Schmidt orthonormalization; Groups U(5 ) ⊃ SO(5 ) ⊃ SO(3 ); Irreducible representations; Orthonormal non-canonical basis; Spectral characteristic
Cite
ГОСТ MLA RIS BibTex
Share

Other records