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

Algirdas Deveikis,Alexander Gusev,Sergue I. Vinitsky, Yuri A. Blinkov,Andrzej Gózdz,Aleksandra Pedrak,Peter O. Hess

Computer Algebra in Scientific Computing (CASC)（2022）

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摘要

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)superset of O(5)superset of 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 Os-186.

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关键词

Orthonormal non-canonical basis,Groups U(5)superset of SO(5)superset of SO(3),Irreducible representations,Gram-Schmidt orthonormalization,Geometric Collective Model,Spectral characteristic,Atomic nuclei

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