Bootstrap Studies of theρMeson and the "Generalized Potential" of the Modified Cheng Representation
- 25 February 1967
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 154 (5), 1515-1522
- https://doi.org/10.1103/physrev.154.1515
Abstract
A bootstrap calculation for the width of the resonance is performed using a simplified version of a Reggeized bootstrap theory proposed recently by the authors. A phenomenological Pomeranchuk input trajectory has been assumed. The channel is eliminated from the appropriate crossing relation and no statements about this channel are necessary. The continuum states are assumed to be dominated by the for the and by the for the . The input trajectory is parametrized to produce the resonance at the observed mass. The width is then determined by the maximum satisfaction of the crossing relations. The calculation yields a "best" width of 125 MeV for the . The problem concerning the simultaneous bootstrap of the mass and width is briefly discussed, and a systematic procedure for obtaining the "generalized potential" of the modified Cheng representation is given.
Keywords
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