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arXiv 1102.3870nucl-th
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Inglis-Belyaev公式和双准粒子激发假设(2012版)

The Inglis-Belyaev formula and the hypothesis of the two-quasiparticle excitations (version 2012)

B. Mohammed-Azizi

摘要:

本工作的目标是重新审视的曲柄公式的振动参数,特别是其众所周知的缺点。后者可以概括为寄生共振或奇异性的质量参数的行为在不成对系统的限制。结果发现,这些问题仅仅是由于公式中存在两个导数引起的。实际上,该公式是基于仅由两个准粒子引起的激发态的贡献的假设。但事实证明,衍生品并非如此。因此,我们推断,导数在公式中不是有充分根据的。因此,我们建议简单地从公式中删去这些项。虽然这个解决方案似乎过于简单,但它确实解决了所有固有的问题。

英文摘要:

The goal of the present work is to revisit the cranking formula of the vibrational parameters, especially its well known drawbacks. The latter can be summarized as spurious resonances or singularities in the behavior of the mass parameters in the limit of unpaired systems. It is found that these problems are simply induced by the presence of two derivatives in the formula. In effect, this formula is based on the hypothesis of contributions of excited states due only to two quasiparticles. But it turns out that this is not the case for the derivatives. We deduce therefore that the derivatives are not well founded in the formula. We propose then simply to suppress these terms from the formula. Although this solution seems to be simplistic, it solves definitively all its inherent problems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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