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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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.
|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.|
|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.|
|Deposited By:||Aucoeur Ngo|
|Deposited On:||02 Aug 2012 16:06|
|Last Modified:||26 Dec 2012 15:47|
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