✦ LIBER ✦

Unitarity and the inhomogeneous equations method for identical particle scattering

✍ Scribed by F.S Levin

Publisher: Elsevier Science
Year: 1972
Tongue: English
Weight: 787 KB
Volume: 72
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(72)90224-2

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✦ Synopsis

A K-matrix solution to the coupled, inhomogeneous equations describing the scattering of a particle by a system of identical particles is developed. It is shown that K is a sum of two terms, one arising from the homogeneous solution and one from the particular integral. The former is a direct contribution, i.e., with no exchange, while the latter is a pure exchange contribution. Thus, as in the previously studied case of the T matrix arising from this system of equations, the direct and exchange portions of K are additive, and can be computed separately. A unitary S matrix is obtained from K in the usual way: S = (1 + iK)(l -X-l.

The problem of how to calculate K when an apparent two-channel problem is actually a two-particle problem with the channels referring to the identical particle labels is also solved.

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