The eastern region of the calcium isotope chain of the nuclei chart is, nowadays, of great activity. The experimental assessment of the limit of stability is of interest to confirm or improve microscopic theoretical models. The goal of this work is to provide the drip line of the calcium isotopes from the exact solution of the pairing Hamiltonian which incorporates explicitly the correlations with the continuum spectrum of energy. The modified Richardson equations, which include correlations with the continuum spectrum of energy modeled by the continuum single particle level density, is used to solve the many-body system. Three models are used, two isospin independent models with core 40Ca and 48Ca, and one isospin dependent model. One and two-neutron separation energies and occupation probabilities for bound and continuum states are calculated from the solution of the Richardson equations. The one particle drip line is found at the nucleus 57Ca, while the two neutron drip line is found at the nucleus 60Ca from the isospin independent model and at 66Ca from the isospin dependent one.

中文翻译：

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根据具有连续对相关性的精确哈密顿量估计钙同位素的中子滴落线的位置

原子核图钙同位素链的东部区域，如今非常活跃。稳定性极限的实验评估对于确认或改进微观理论模型很有意义。这项工作的目标是从配对哈密顿量的精确解中提供钙同位素的滴线，其中明确地结合了与能量连续谱的相关性。修正的理查森方程包括与由连续单粒子能级密度建模的连续能量谱的相关性，用于求解多体系统。使用了三种模型，两种具有核心 40Ca 和 48Ca 的同位旋独立模型，以及一种同位旋相关模型。从理查森方程的解计算一中子和二中子分离能以及束缚态和连续态的占据概率。在核 57Ca 处发现单粒子滴落线，而在同位旋独立模型中的核 60Ca 处和同位旋相关模型中的 66Ca 处发现两中子滴落线。