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Abstract <p>A finite element method scheme for solving the boundary value problem of collective nuclear models is presented. Its efficiency is demonstrated on calculations of rotational-vibrational spectra and electrical quadrupole transitions <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9154_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">\(B(E2)\)</EquationSource> <!--PhysPart2570049Batgerel-m1--> </InlineEquation> for the isotopes <sup>154</sup>Gd and <sup>238</sup>U with tabularly specified coefficients of the boundary value problem, including one-well and double-well potential energy surfaces, respectively, calculated from the relativistic mean-field model.</p>

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Schemes of Finite Element Method for Collective Models of Atomic Nuclei

  • 期刊论文

  • 发表日期：

    2025年10月25日

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  • B. Batgerel,
  • J. Buša Jr.,
  • O. Chuluunbaatar,
  • V. L. Derbov,
  • A. Deveikis,
  • A. A. Gusev,
  • Le H. Luong,
  • E. V. Mardyban,
  • S. I. Vinitsky,
  • P. W. Wen

摘要

Abstract

A finite element method scheme for solving the boundary value problem of collective nuclear models is presented. Its efficiency is demonstrated on calculations of rotational-vibrational spectra and electrical quadrupole transitions \(B(E2)\) for the isotopes 154Gd and 238U with tabularly specified coefficients of the boundary value problem, including one-well and double-well potential energy surfaces, respectively, calculated from the relativistic mean-field model.