title: ÐÐ²ÑÑ ÑÐµÐ½ÑÑÐ¾Ð²Ð°Ñ Ð¾Ð´Ð½Ð¾ÑÐ°ÑÑÐ¸ÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð´Ð»Ñ Ð¾Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ Ð½ÐµÐ°Ð´Ð¸Ð°Ð±Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÑÑÐµÐºÑÐ¾Ð² Ð¿ÑÐ¸ Ð´ÐµÐ»ÐµÐ½Ð¸Ð¸ ÑÐ´ÐµÑ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Two-center one-particle model for describing nonadiabatic effects in nuclear fission
Creators: name: ÐÑÑÐ¾ÑÑÐ°Ð½ÑÐºÐ°Ñ, ÐÑÐ¸ÑÑÐ¸Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÑÑÐ¶ÐµÐ»ÑÐµ ÑÐ´ÑÐ°
ÑÐ´ÐµÑÐ½Ð¾Ðµ Ð´ÐµÐ»ÐµÐ½Ð¸Ðµ
Ð´Ð²ÑÑ ÑÐµÐ½ÑÑÐ¾Ð²Ð°Ñ Ð¾Ð±Ð¾Ð»Ð¾ÑÐµÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
Ð¾Ð²Ð°Ð»Ñ ÐÐ°ÑÑÐ¸Ð½Ð¸
heavy nuclei
nuclear fission
two-center shell model
Cassini ovals

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description: In this paper a program designed to compute the one-particle spectrum and eigenvectors of one-particle states in a finite-depth nuclear potential with a blurred edge is created and described. The one-particle model is a computational basis for describing the dynamics of nuclear fission taking into account nonadiabatic effects. The shape of the nucleus is given in a lemniscate coordinate system, and the family of basis coordinate surfaces is Cassini ovals. This approach makes it possible to carry out calculations for axially symmetric nuclei whose shape can vary over a wide range up to splitting into two fragments. The eigenvalue problem is solved by the diagonalization method, and the basis set of functions are the functions of the deformed axially symmetric potential. The program is written in object-oriented Python language with implementation of the ROOT Framework. This version of the program allows to calculate eigenvalues and eigenvectors of the Hamiltonian at the given parameters of the potential for several values of the deformation parameters, the number of which is defined by the user.