Two particle states and theS-matrix elements in multi-channel scattering | Zendy

Song He | Zendy; Xu Feng | Zendy; Chuan Liu | Zendy

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Two particle states and theS-matrix elements in multi-channel scattering

Author(s) -

Song He,

Xu Feng,

Chuan Liu

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/07/011

Subject(s) - physics , eigenvalues and eigenvectors , scattering , generalization , matrix (chemical analysis) , mathematical physics , quantum mechanics , s matrix , elastic scattering , scattering theory , boundary value problem , classical mechanics , quantum electrodynamics , mathematical analysis , mathematics , materials science , composite material

Using a quantum mechanical model, the exact energy eigenstates fortwo-particle two-channel scattering are studied in a cubic box with periodicboundary conditions in all three directions. A relation between the exactenergy eigenvalue in the box and the two-channel $S$-matrix elements in thecontinuum is obtained. This result can be viewed as a generalization of thewell-known L\"uscher's formula which establishes a similar relation in elasticscattering.Comment: 18 pages, no figures. minor changes compared with previous versio

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