中国科学(物理学 力学 天文学)2024,Vol.54Issue(9) :46-56.DOI:10.1360/SSPMA-2023-0458

原子核链式α结团结构及其动力学的协变密度泛函理论研究

Structure and dynamics of linear-chain α cluster in covariant density functional theory

张丹丹 任政学 赵鹏巍
中国科学(物理学 力学 天文学)2024,Vol.54Issue(9) :46-56.DOI:10.1360/SSPMA-2023-0458

原子核链式α结团结构及其动力学的协变密度泛函理论研究

Structure and dynamics of linear-chain α cluster in covariant density functional theory

张丹丹 1任政学 2赵鹏巍1
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作者信息

  • 1. 北京大学物理学院,核物理与核技术国家重点实验室,北京 100871
  • 2. 北京大学物理学院,核物理与核技术国家重点实验室,北京 100871;于利希研究中心,原子核物理所和高等计算所,于利希D-52425,德国;波恩大学,亥姆霍兹辐射与核物理研究所,波恩D-53115,德国
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摘要

本文回顾了基于协变密度泛函理论研究原子核链式α结团结构及其动力学的现状.协变密度泛函理论以核子为基本自由度,可以自洽地给出具有α结团现象的原子核链式结团结构.结合推转平均场方法,相关研究揭示了碳同位素链式结团结构中自旋和同位旋的相干效应.随着转动频率的增加,中子的σ轨道(平行于对称轴的轨道)的能量在科氏力作用下降低,进而被价中子占据,预示着链式结构更容易在丰中子原子核的高角动量态中发现.类似的现象同样出现在丰质子的3α和4α链式结团结构中,并且价质子能在更低的角动量下占据质子的σ轨道.三维格点空间的协变密度泛函理论研究表明:转动频率在2.0-3.5MeV区间内,12C中的链式结团结构是位能面上的极小,表现出对弯曲运动和裂变的稳定性.进一步,含时协变密度泛函理论给出了4He+8Be和4He+10Be共振散射形成12C和14C链式结团结构的动力学过程,并发现价中子的动力学同位旋效应减缓了结团的纵向振荡,使得形成的14C链式结团结构有更长的寿命.

Abstract

Recent progress in the structure and dynamics of nuclear linear-chain α clusters within the framework of covariant density functional theory is reviewed.The covariant density functional theory does not a priori assume the existence of α clusters and provides a microscopic and self-consistent description of the corresponding linear-chain cluster structure.By combin-ing the covariant density functional theory with the cranking model,the coherent effects of nuclear spin and isospin on the linear-chain cluster structure of carbon isotopes are revealed.Owing to the effects of the Coriolis term in the cranking covariant density functional theory,σ orbitals show a reduction in energy with the rotational frequency and are occupied by valence neutrons,indicating that the linear-chain cluster structures are more feasible in fast-rotating neutron-rich nu-clei.A similar mechanism exists for the 3a and 4α linear-chain cluster structures in proton-rich nuclei,wherein protons occupy σ orbitals at lower angular momenta than those observed for neutrons.Based on the calculations of the covari-ant density functional theory in a three-dimensional lattice space,the linear-chain cluster configuration in 12C is shown as a state with the minimum energy on the potential energy surface for rotational frequencies of 2.0-3.5 MeV,thereby demonstrating the stability of the linear-chain cluster structure against nuclear bending motion and fission.Furthermore,the development of the time-dependent covariant density functional theory enables the dynamical study of the linear-chain cluster structure.Investigations of the microscopic dynamics of the linear-chain cluster states for 12C and 14C isotopes in the reactions 4He+8Be and 4He+10Be show that the dynamical isospin effects by the valence neutrons impede the longitudinal oscillations of clusters,thereby prolonging the lifetime of the linear-chain cluster states.

关键词

协变密度泛函理论/原子核结团/链式结团结构/原子核转动/共振散射

Key words

covariant density functional theory/nuclear clusters/linear chain cluster structure/nuclear rotation/resonance scattering

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基金项目

国家自然科学基金(11935003)

国家自然科学基金(11975031)

国家自然科学基金(12070131001)

国家自然科学基金(12141501)

北京大学核物理与核技术国家重点实验室(NPT2020ZZ01)

科技部高端外国专家引进计划()

北京大学高性能计算平台资助项目()

出版年

2024
中国科学(物理学 力学 天文学)
中国科学院

中国科学(物理学 力学 天文学)

CSTPCD北大核心
影响因子:0.644
ISSN:1674-7275
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