Intrinsic Parity of the $(j,0)\oplus (0,j)$ Mesons

Abstract

Contrary to the usual belief, by carefully examining the operation of parity transformation on the $(1,0)\oplus (0,1)$ mesons in the generalized canonical representation, we establish that the $(j,0)\oplus (0,j)$ meson-antimeson pair have {\it opposite} intrinsic parity. This opens up the possibility that while the particles without an internal structure may utilize one representation of the Lorentz group, phenomenologies of composite particles may exploit a different representation. As such (perhaps, only some of) the meson structures beyond the standard $q\overline{Q}$ may exploit the $(j,0)\oplus (0,j)$ generalized canonical representation of the Lorentz group -- this would result in a meson and the associated antimeson to manifest themselves in {\it different} partial waves. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% CONSTRUCTIVE COMMENTS WELCOME, AS ALWAYS D. V. A. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Comments: 8 pages, LA-UR-92-3726, Latex