用复动量表象方法探讨四重形变势Dirac方程的共振性
Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method
摘要：
共振在许多物理现象的形成中起着关键的作用，并且已经开发了许多用于探索共振的技术。在最近的一封信[物理。117，062502（2016）]，我们提出了一种通过求解球形核的复动量表象中的狄拉克方程来探测单粒子共振的新方法。在这里，我们将这种方法推广到变形核的理论形式。我们详细阐述了数值细节，并计算了$^{37}$镁的束缚态和共振态。计算结果与坐标表示法的计算结果进行了比较，两者吻合良好。特别是，该方法不仅可以清晰地揭示复动量面内的共振态，而且可以精确地确定以前难以获得的窄共振和宽共振的共振参数。
英文摘要：
Resonance plays critical roles in the formation of many physical phenomena, and many techniques have been developed for the exploration of resonance. In a recent letter [Phys. Rev. Lett. 117, 062502 (2016)], we proposed a new method for probing single-particle resonances by solving the Dirac equation in complex momentum representation for spherical nuclei. Here, we extend this method to deformed nuclei with theoretical formalism presented. We elaborate numerical details, and calculate the bound and resonant states in $^{37}$Mg. The results are compared with those from the coordinate representation calculations with a satisfactory agreement. In particular, the present method can expose clearly the resonant states in complex momentum plane and determine precisely the resonance parameters for not only narrow resonances but also broad resonances that were difficult to obtain before.
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