Hadronic Transitions among Quarkonium States in a Soft-Exchange-Approximation. Chiral Breaking and Spin Symmetry Breaking Processes

Abstract

Although no asymptotic heavy quark spin symmetry, and even more no flavor symmetry, are expected for systems such as quarkonium, a numerical discussion shows that for some processes and in a preasymptotic region which may roughly include charmonium and bottomonium, the use of the spin-symmetry may be useful in conjunction with chiral symmetry for light hadrons (soft-exchange- approximation regime, SEA). We continue our discussion of hadronic transitions in the SEA-regime by studying in particular chiral breaking transitions such as ${}^3{P}^{\prime }\to {}^{3}P\ddot{I}{€}^0$, ${}^{3}P\hat{I}\cdot$, level splittings and transitions which break both chiral and spin symmetry, such as $\ddot{I}{ˆ}^{\prime }\to J/\ddot{I}ˆ\ddot{I}{€}^0$, $J/\ddot{I}ˆ\hat{I}\cdot$, and ${}^1{P}_1\to J/\ddot{I}ˆ\ddot{I}{€}^0$.

LaTeX (style article) 19 pages, UGVA-DPT 12-801