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Current matrix elements from a relativistic quark model

Feynman, R. P. and Kislinger, M. and Ravndal, F. (1971) Current matrix elements from a relativistic quark model. Physical Review D, 3 (11). pp. 2706-2732. ISSN 2470-0010. doi:10.1103/PhysRevD.3.2706.

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A relativistic equation to represent the symmetric quark model of hadrons with harmonic interaction is used to define and calculate matrix elements of vector and axial-vector currents. Elements between states with large mass differences are too big compared to experiment, so a factor whose functional form involves one arbitrary constant is introduced to compensate this. The vector elements are compared with experiments on photoelectric meson production, Kl3 decay, and ω→πγ. Pseudoscalar-meson decay widths of hadrons are calculated supposing the amplitude is proportional (with one new scale constant) to the divergence of the axial-vector current matrix elements. Starting only from these two constants, the slope of the Regge trajectories, and the masses of the particles, 75 matrix elements are calculated, of which more than 3/4 agree with the experimental values within 40%. The problems of extending this calculational scheme to a viable physical theory are discussed.

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Additional Information:©1971 The American Physical Society. Received 17 December 1970. Work supported in part by the U.S. Atomic Energy Commission. Prepared under Contract No. AT(11-1)-68 for the San Francisco Operations Office, U.S. Atomic Energy Commission.
Issue or Number:11
Record Number:CaltechAUTHORS:FEYprd71
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3555
Deposited By: Tony Diaz
Deposited On:14 Jun 2006
Last Modified:08 Nov 2021 19:57

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