Relativistic particle spectra and mass splittings

Mukunda, N. ; Sudarshan, E. C. G. ; Bohm, A. (1967) Relativistic particle spectra and mass splittings Physics Letters B, 24 (6). pp. 301-304. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(67)90456-X

Abstract

We show how to do three things: to construct a relativistic Lie algebra whose irreducible representations contain infinite sequences of particles with spins and isospins which can be correlated as in the isobar spectrum of strong coupling theory; to obtain a mass spectrum for such isobars from an associative algebra structure; and to show how such an associative algebra has an underlying structure in terms of a finite-parameter Lie algebra.

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