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Overlapping resonances and S-matrix unitarity

โœ Scribed by K.W McVoy

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
604 KB
Volume
54
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

If two overlapping resonances of the same spin and parity, both coupled to C open channels, are superimposed on an energy-independent background, unitarity imposes 2(C + 1) constraints on their S-matrix residues (i.e., partial widths and phases). These constraints are worked out explicitly for the general case of a nondiagonal background matrix (direct reactions present), and compared with the simpler Breit-Wigner constraints which obtain when the resonances are non-overlapping and the background is elastic. The phase angles of the two resonances are found to be related in an especially simple manner when the background is elastic. The case of T-violating interactions is considered briefly in Section VI.

๐Ÿ“œ SIMILAR VOLUMES

Overlapping resonances and S-matrix unit
Overlapping resonances and S-matrix unitarity: Kirk W. McVoy. Dept. of Physics, Univ. of Wisconsin, Madison, Wis
๐Ÿ“‚ Article ๐Ÿ“… 1969 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 79 KB

The theory of the atomic beam optical double resonance spectroscopy first introduced by 1. 1. Rabi is developed. An expression for the transition probability is derived which includes terms that may lead to line shifts and distortions. The approximations made in obtaining this result are given, and