Sommerfeld factor for arbitrary partial wave processes

Sommerfeld factor for arbitrary partial wave processes
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DOI:
10.1088/0954-3899/37/10/105009
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发表时间:
2010-10-01
影响因子:
3.5
通讯作者:
Cassel, S.
Cassel, S.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Cassel, S.

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在非相对论极限下导出了任意分波过程的索末菲因子。给出了汤川相互作用情况下的s波和p波数值结果。还找到了汤川相互作用的索末菲因子的近似解析表达式,该表达式在库仑极限下是精确的。它表明,这一结果是准确的一些常见的情况下,在10%以内。非s波索末菲效应被确定为是显着的,并可以允许更高的分波占主导地位的横截面。
The Sommerfeld factor for arbitrary partial wave processes is derived in the non-relativistic limit. The s-wave and p-wave numerical results are presented for the case of Yukawa interactions. An approximate analytic expression is also found for the Sommerfeld factor of Yukawa interactions with arbitrary partial waves, which is exact in the Coulomb limit. It is demonstrated that this result is accurate to within 10% for some common scenarios. The non-s-wave Sommerfeld effect is determined to be significant, and can allow higher partial waves to dominate cross sections.