Extended Isotopic Spin Invariance and Meson-Nucleon Coupling

Publisher Website
Google Scholar
Abstract
The identities derived from a Lagrangian density that is invariant under transformations that depend on arbitrary functions are used to develop the restrictions on allowed forms of coupling that follow from assuming extended isotopic spin invariance. A proof is given that invariance under local isotopic spin rotations is not possible for pions and nucleons alone. The relations between the transformation law and the invariant Lagrangian are developed if (a) the pion-nucleon system is allowed to admit a more general extended isotopic spin group, or (b) additional fields are admitted in order to maintain the local isotopic spin rotational invariance. In either case, definite restrictions on the permissible transformation properties for the field quantities are obtained if pion-nucleon isotopic spin conservation is to be maintained.

This publication has 5 references indexed in Scilit: