Abstract

Fully self-consistent framework for isobaric-analog resonances is presented. The chains of parent neutron-rich Ca, Ni, Sn nuclei around the neutron shells at \(N=20\), \(28\), \(34\), \(50\), \(82\), as well as the nuclei on the neutron-deficient side of these chains are treated in the Density Functional plus Continuum Quasi particle Random Phase Approximation (DF \(+\) CQRPA). The recently established new Fayans functional DF3-f is applied for calculations in long isotopic chains including non-magic nuclei with pairing in both neutron and proton sectors. A comparison with the relativistic QRPA and SAMi \(+\) RPA shows a robust performance and flexibility of the DF \(+\) CQRPA. Constraining the strength of exchange Coulomb contribution from the binding energy splitting of the doublets and triplets of the mirror nuclei allows for better description of the IAR energies.

中文翻译：

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等压模拟共振的完全自洽研究

摘要

提出了完全自洽的等压模拟共振框架。父丰中子围绕中子壳钙，镍，锡核的在链\（N = 20 \） ，\（28 \） ，\（34 \） ，\（50 \） ，\（82 \），以及这些链中子缺陷侧的核均在密度泛函加连续准粒子随机相近似（DF \（+） CQRPA）中进行处理。最近建立的新型Fayans功能DF3-f用于长同位素链的计算，包括中子和质子区中具有配对的非魔术核。与相对论QRPA和SAMi \（+ \）的比较RPA显示了DF C （+） CQRPA的强大性能和灵活性。限制镜像核的二重态和三重态的结合能分裂的交换库仑贡献，可以更好地描述IAR能量。