Two-body relativistic scattering with an O(1,1)-symmetric square-well potential

R. Arshansky*, L. P. Horwitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Scattering theory in the framework of a relativistic manifestly covariant quantum mechanics is applied to the relativistic analog of the nonrelativistic one-dimensional square-well potential, a two-body O(1,1)-symmetric hyperbolic square well in one space and one time dimension. The unitary S matrix is explicitly obtained. For well sizes large compared to the de Broglie wavelength of the reduced motion system, simple formulas are obtained for the associated sequence of resonances. This sequence has equally spaced levels and constant widths for higher resonances, and linearly increasing widths for lower-lying levels.

Original languageEnglish
Pages (from-to)2860-2874
Number of pages15
JournalPhysical Review D
Issue number12
StatePublished - 1984


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