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.

Авторы
Deveikis A. , Gusev A.A. , Vinitsky S.I. , Blinkov Y.A. , Góźdź A. , Pȩdrak A. , Hess P.O.
Сборник материалов конференции
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Издательство
Springer Science and Business Media Deutschland GmbH
Язык
Английский
Страницы
103-123
Статус
Опубликовано
DOI
10.1007/978-3-031-14788-3_7
Том
13366 LNCS
Год
2022
Организации
  • 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
Ключевые слова
Atomic nuclei; Geometric Collective Model; Gram-Schmidt orthonormalization; Groups U(5 ) ⊃ SO(5 ) ⊃ SO(3 ); Irreducible representations; Orthonormal non-canonical basis; Spectral characteristic
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