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第一性原理计算研究镜像原子核同位旋对称性破缺

Ab Initio Calculations for Isospin Symmetry Breaking in Mirror Nuclei

  • 摘要: 同位旋对称性破缺是一个原子核性质的重要物理现象,为核结构、核反应以及核天体物理学的研究提供关键信息。镜像能级差异是一个研究同位旋对称性破缺的主要观测量,研究这种能级差异能够清晰地反映出同位旋对称性破缺,对深入认识核力的性质有重要意义。随着超级计算机计算能力与原子核量子多体方法的不断发展,第一性原理方法在原子核结构计算中已取得巨大成功。本研究基于手征有效场论的两体与三体核力,利用第一性原理价空间介质相似重整化群方法,计算了25Si与25Na这对镜像核的低激发能谱。采用的核力很好地考虑了电荷对称性破缺和电荷独立性破缺效应,并在量子多体哈密顿量中考虑库仑力。计算结果显示三体力对于原子核激发态的描述非常关键。基于激发态结果,计算了镜像原子核的镜像能级差异与对应能级的粒子数占据情况。结果表明,较大的镜像能级差异主要由丰质子原子核弱束缚的1s1/2轨道的占据数引起。

     

    Abstract: Isospin symmetry breaking is essential to exploring atomic nuclear properties, offering vital insights that further our understanding of nuclear structure, reactions, and astrophysics. Mirror energy differences, a primary observational quantity in the study of isospin symmetry breaking, allow for a clear reflection of this phenomenon, which is significantly meaningful in comprehending the properties of nuclear forces. In light of the remarkable progress in supercomputing capabilities and quantum many-body techniques in atomic nuclei, ab initio calculations have achieved great success in nuclear systems. In this study, using the chiral effective field theory two-body and three-body forces, we employed the ab initio valence-space in-medium similarity renormalization group method to calculate the low-energy excited states of the mirror nuclei 25Si and 25Na. The nuclear forces adopted consider both charge symmetry breaking and charge independence breaking effects well, and the Coulomb force is also included in the quantum many-body Hamiltonian. The results show that the three-body forces are crucial in describing the excited states of nuclei. Based on the results of the excited states, we calculated the mirror energy differences and corresponding occupations of states in mirror nuclei. The results suggest that the larger mirror energy differences are primarily caused by occupying the weakly bound 1s1/2 orbit in proton-rich nuclei.

     

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