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arXiv 0705.4318physics.atom-phphysics.comp-ph
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用外推解析延拓法计算超临界狄拉克共振参数

Supercritical Dirac resonance parameters from extrapolated analytic continuation methods

Edward Ackad, Marko Horbatsch

摘要:

研究了核间距R = 20 fm时U(92+)-Cf(98+)体系超临界准分子基态的复标度(CS)、光滑外标度(SES)和复吸收势(CAP)解析延拓方法.帕德近似的复杂的能量轨迹被用来执行外推的共振能量,从而成为独立的各自的稳定参数。在双中心势的近似下,证明了SES和CAP的外推结果在很高的精度上是一致的。外推CAP计算扩展到包括偶极和四极项的潜力,为一个大范围的核间分离R。这些条款导致加宽的宽度在permille水平时,核几乎是在接触,并在%水平的R值的基态进入负连续谱。

英文摘要:

The analytic continuation methods of complex scaling (CS), smooth exterior scaling (SES), and complex absorbing potential (CAP) are investigated for the supercritical quasimolecular ground state in the U(92+)-Cf(98+) system at an internuclear separation of R=20 fm. Pade approximants to the complex-energy trajectories are used to perform an extrapolation of the resonance energies, which, thus, become independent of the respective stabilization parameter. Within the monopole approximation to the two-center potential is demonstrated that the extrapolated results from SES and CAP are consistent to a high degree of accuracy. Extrapolated CAP calculations are extended to include dipole and quadrupole terms of the potential for a large range of internuclear separations R. These terms cause a broadening of the widths at the permille level when the nuclei are almost in contact, and at the % level for R values where the ground state enters the negative continuum.

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