Probabilistic interpretation of compositeness relation for resonances
Probabilistic interpretation of compositeness relation for resonances
复制标题
共振复合关系的概率解释
DOI：
10.1103/physrevd.93.096001
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发表时间：
2015-08
期刊：
影响因子：
--
通讯作者：
J. A. Oller
中科院分区：
文献类型：
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作者：
Zhi-Hui Guo;J. A. Oller
束缚态、反束缚态和共振态与壳层分波振幅中的极点相关联。我们在这里表明，从极点的留数中可以提取与这些状态中的任何一个相关联的秩1投影算子，据此可以推导出与状态组成相关的求和规则。虽然通常它涉及复杂的系数的复合性和elementariness，除了束缚态的情况下，我们证明，一个可以制定一个有意义的复合性关系，只有正系数的共振，其相关的洛朗系列在变量s收敛在一个区域的物理轴周围ResP，与sP的共振的极点位置。它也表明，这一结果可以被认为是一个分析外推在sP的明确的窄共振的情况下。我们采用这种形式主义来研究感兴趣的几种共振的两体成分。
Bound, antibound and resonance states are associated to poles in the on-shell partial wave amplitudes. We show here that from the residues of the pole a rank 1 projection operator associated with any of these states can be extracted, in terms of which a sum rule related to the composition of the state can be derived. Although typically it involves complex coefficients for the compositeness and elementariness, except for the bound state case, we demonstrate that one can formulate a meaningful compositeness relation with only positive coefficients for resonances whose associated Laurent series in the variable s converges in a region of the physical axis around ResP, with sP the pole position of the resonance. It is also shown that this result can be considered as an analytical extrapolation in sP of the clear narrow resonance case. We exemplify this formalism to study the two-body components of several resonances of interest.
DOI：
10.1007/3-540-13880-3
发表时间：
1984
期刊：
--
影响因子：
--
作者：
S. Albeverio;L. Ferreira;L. Streit
通讯作者：
S. Albeverio;L. Ferreira;L. Streit