Sidewise Dispersion Relations for Scalar Densities

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15 April 1971

journal article
research article
Published by American Physical Society (APS) in Physical Review D

Vol. 3 (8) , 1954-1956
https://doi.org/10.1103/physrevd.3.1954

Abstract

We show how to calculate by sidewise dispersion relations the matrix element between nucleon states of

u_{i}

, the scalar density belonging to the

(3, \bar{3}) + (\bar{3}, 3)

representation of

SU (3) \times SU (3)

. In particular we find a vanishing nucleon matrix element for the combination

u_{0} - \sqrt{2} u_{8}

in the limit of the pion mass approaching zero.

Keywords

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