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Covariant harmonic oscillators and diffractive excitations

Covariant harmonic oscillators and diffractive excitations We use convariant harmonic-oscillator wave functions to describe quark-model hadrons in Glauber's model of diffractive scattering. It is shown that the Glauber model can be constructed in the center-of-mass system in terms of fully covariant quantities. For elastic scattering, the covariant model gives the same result as that using nonrelativistic harmonic-oscillator wave functions. For the transition from the n = 0 to n = 2 states, which includes the diffractive excitations to the N ( 1470 ) and N ( 1690 ) resonances, the relativistic effect is simply a multiplication of the nonrelativistic amplitude by the factor ( 1 - α 2 ), α being the velocity difference between the incoming nucleon and the final-state resonance. We discuss the effects of these results on the existing nonrelativistic calculations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Covariant harmonic oscillators and diffractive excitations

Physical Review D , Volume 12 (1) – Jul 1, 1975
7 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1975 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.12.122
Publisher site
See Article on Publisher Site

Abstract

We use convariant harmonic-oscillator wave functions to describe quark-model hadrons in Glauber's model of diffractive scattering. It is shown that the Glauber model can be constructed in the center-of-mass system in terms of fully covariant quantities. For elastic scattering, the covariant model gives the same result as that using nonrelativistic harmonic-oscillator wave functions. For the transition from the n = 0 to n = 2 states, which includes the diffractive excitations to the N ( 1470 ) and N ( 1690 ) resonances, the relativistic effect is simply a multiplication of the nonrelativistic amplitude by the factor ( 1 - α 2 ), α being the velocity difference between the incoming nucleon and the final-state resonance. We discuss the effects of these results on the existing nonrelativistic calculations.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 1, 1975

There are no references for this article.