Odd-even mass differences of well and rigidly deformed nuclei in the rare earth region:Test of a newly proposed fit for average pairing matrix elements  

作　　者：T.V.Nhan Hao N.N.Bao Nguyen D.Quang Tam P.Quentin L.Bonneau Meng-Hock Koh T.V.Nhan Hao;N.N.Bao Nguyen;D.Quang Tam;P.Quentin;L.Bonneau;辜明福(Faculty of Physics,University of Education,Hue University,34 Le Loi Street,Hue City,Vietnam;Center for Theoretical and Computational Physics,University of Education,Hue University,34 Le Loi Street,Hue City,Vietnam;Faculty of Basic Sciences,University of Medicine and Pharmacy,Hue University,06 Ngo Quyen Street,Hue City,Vietnam;LP2I,UMR 5797,Universitéde Bordeaux,CNRS,F-33170,Gradignan,France;Department of Physics,Faculty of Science,Universiti Teknologi Malaysia,81310 Johor Bahru,Johor,Malaysia;UTM Centre for Industrial and Applied Mathematics,81310 Johor Bahru,Johor,Malaysia)

机构地区：[1]Faculty of Physics,University of Education,Hue University,34 Le Loi Street,Hue City,Vietnam [2]Center for Theoretical and Computational Physics,University of Education,Hue University,34 Le Loi Street,Hue City,Vietnam [3]Faculty of Basic Sciences,University of Medicine and Pharmacy,Hue University,06 Ngo Quyen Street,Hue City,Vietnam [4]LP2I,UMR 5797,Universitéde Bordeaux,CNRS,F-33170,Gradignan,France [5]Department of Physics,Faculty of Science,Universiti Teknologi Malaysia,81310 Johor Bahru,Johor,Malaysia [6]UTM Centre for Industrial and Applied Mathematics,81310 Johor Bahru,Johor,Malaysia

出　　处：《Chinese Physics C》2025年第3期64-71,共8页中国物理C(英文版)

基　　金：support by the Hue University under the Core Research Program,(NCM.DHH.2018.09);Universiti Teknologi Malaysia for its UTMShine grant(Q.J130000.2454.09G96)。

摘　　要：We present an analysis of a recent approach for determining the average pairing matrix elements within a specified interval of single-particle(sp)states around the Fermi level,denoted asλ.This method,known as the uniform gap method(UGM),highlights the critical importance of the averaged sp level density.The pairing matrix elements within the UGM approach are deduced from microscopically calculated values of and gaps obtained from analytical formulae of a semi-classical nature.Two effects generally ignored in similar fits are addressed:(a)a correction for a systematic bias introduced by fitting pairing gaps corresponding to equilibrium deformation solutions,as discussed by Möller and Nix[Nucl.Phys.A 476,1(1992)],and(b)a correction for a systematic spurious enhancement of for protons in the vicinity ofλ,caused by the local Slater approximation commonly employed in treating Coulomb exchange terms(e.g.,[Phys.Rev.C 84,014310(2011)]).This approach has demonstrated significant efficiency when applied to Hartree-Fock+Bardeen-Cooper-Schrieffer(BCS)calculations(including the seniority force and self-consistent blocking for odd nuclei)of a large sample of well and rigidly deformed even-even rare-earth nuclei.The experimental moments of inertia for these nuclei were reproduced with an accuracy comparable to that achieved through direct fitting of the data[Phys.Rev.C 99,064306(2019)].In this study,we extended the evaluation of our method to the reproduction of three-point odd-even mass differences centered on odd-N or odd-Z nuclei in the same region.The agreement with experimental data was found to be comparable to that obtained through direct fitting,as reported in[Phys.Rev.C 99,064306(2019)].

关 键 词：level density pairing strength odd-even staggering constant pairing matrix element meanfield BCS pairing SKYRME SINGLE-PARTICLE 

分 类 号：O57[理学—粒子物理与原子核物理]