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• W2015449148 abstract "We present a general $S$-matrix approach to the phenomenological treatment of scattering problems which involve many overlapping resonances in the presence of a constant background. The problem is treated systematically using the analyticity and unitarity of $S(E)$, and $mathrm{CPT}$ and $T$ invariance. We derive the possible factorization properties of the resonance residues for first-order and higher-order poles, the restriction imposed by $mathrm{CPT}$ invariance, the restrictions imposed by $mathrm{CPT}$ and $T$, and the constraints on the residues imposed by unitarity. The nature of the contraints is investigated in detail for overlapping first-order resonances, and in less detail for higher-order resonances. The results are illustrated by several examples, including the case of a single dipole resonance in the presence of background." @default.
• W2015449148 created "2016-06-24" @default.
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• W2015449148 date "1976-12-01" @default.
• W2015449148 modified "2023-10-14" @default.
• W2015449148 title "<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>S</mml:mi></mml:math>-matrix treatment of many overlapping resonances" @default.
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• W2015449148 doi "https://doi.org/10.1103/physrevd.14.3174" @default.
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