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Light-cone behavior of the pion Bethe-Salpeter wave function in the ladder model

Goldberger, Marvin L. and Soper, Davison E. and Guth, Alan H. (1976) Light-cone behavior of the pion Bethe-Salpeter wave function in the ladder model. Physical Review D, 14 (10). pp. 2633-2647. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:20120802-084240702

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Abstract

The Bethe-Salpeter wave function χ(q^ν+P^ν, q^ν) for two spin-½ quarks bound by the exchange of a scalar meson is examined in the ladder model. We seek the behavior of χ as the squared momentum, (q+P)^2, on one leg becomes infinite while the squared momentum, q^2, on the other leg remains fixed. This behavior is investigated by making a Wick rotation, expanding χ in partial-wave amplitudes χ^i_J(q^2) of the group O(4), and then looking for the rightmost poles of χ^i_J(q^2) in the complex J plane. Our results verify (in the ladder model) the useful hypothesis that the locations of these poles are independent of q^2 and can thus be computed in the q^2→∞ limit by using conformal invariance.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.14.2633DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevD.14.2633PublisherUNSPECIFIED
Additional Information:© 1976 The American Physical Society. Received 21 July 1976; published in the issue dated 15 November 1976. Work supported in part by the National Science Foundation under Grant No. MPS 75-22514 and in part by the U. S. Energy Research and Development Administration.
Funders:
Funding AgencyGrant Number
NSFMPS 75-22514
Energy Research and Development Administration (ERDA)UNSPECIFIED
Record Number:CaltechAUTHORS:20120802-084240702
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120802-084240702
Official Citation:Goldberger, M. L., D. E. Soper, et al. (1976). "Light-cone behavior of the pion Bethe-Salpeter wave function in the ladder model." Physical Review D 14(10): 2633-2647.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32865
Collection:CaltechAUTHORS
Deposited By: Aucoeur Ngo
Deposited On:02 Aug 2012 16:06
Last Modified:26 Dec 2012 15:47

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