Macroscopic-microscopic analysis of deformation energy, Q20 electric quadrupole moments, and equilibrium shapes in even-even barium and cerium isotopes

IF 1.7 4区物理与天体物理 Q2 PHYSICS, NUCLEAR

Nuclear Physics A Pub Date : 2025-05-23 DOI:10.1016/j.nuclphysa.2025.123172

Hadj Mouloudj , Fethi Redjem , Oussama Zeggai , Mousaab Belarbi , Youcef Belgaid , Abdelkader Ghalem

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Abstract

This study investigates the electric quadrupole moments (Q₂₀) and deformation energies of even-even nuclei within the mass range 114 ≤ A ≤ 140, focusing on Barium and Cerium isotopes. A macroscopic-microscopic approach is employed, combining the liquid drop model for macroscopic energy with Strutinsky shell corrections and BCS (Bardeen-Cooper-Schrieffer) pairing correlations for microscopic refinements. The shell corrections are derived by solving a Schrödinger equation with a deformed Woods–Saxon mean field. Numerical solutions, performed using an optimized FORTRAN program, identify equilibrium shapes by locating energy minima in deformation energy contour plots. From these equilibrium shapes, single-particle wave functions and the BCS approximation are used to calculate electric quadrupole moments. Theoretical results align closely with experimental data, confirming the robustness of the proposed model. This study advances our understanding of nuclear deformation and structure, particularly in isotopes far from spherical symmetry.

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变形能的宏观-微观分析，Q20电四极矩，平衡形状在偶数钡和铈同位素

本文研究了质量范围为114≤A≤140的偶偶核的电四极矩（Q20）和变形能，重点研究了钡和铈同位素。采用宏观-微观方法，将宏观能量的液滴模型与Strutinsky壳修正和微观精细化的BCS （Bardeen-Cooper-Schrieffer）配对关联相结合。通过求解具有变形Woods-Saxon平均场的Schrödinger方程，推导出壳层修正。数值解，使用优化的FORTRAN程序执行，通过定位变形能量轮廓图中的能量最小值来识别平衡形状。从这些平衡形状出发，利用单粒子波函数和BCS近似计算电四极矩。理论结果与实验数据一致，证实了所提出模型的鲁棒性。这项研究促进了我们对核变形和结构的理解，特别是在远离球形对称的同位素中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nuclear Physics A 物理-物理：核物理

CiteScore

3.60

自引率

7.10%

发文量

113

审稿时长

61 days

期刊介绍： Nuclear Physics A focuses on the domain of nuclear and hadronic physics and includes the following subsections: Nuclear Structure and Dynamics; Intermediate and High Energy Heavy Ion Physics; Hadronic Physics; Electromagnetic and Weak Interactions; Nuclear Astrophysics. The emphasis is on original research papers. A number of carefully selected and reviewed conference proceedings are published as an integral part of the journal.