1997/10/14 by Jiunn-Wei Chen, Martin J. Savage
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.57.2837
published as Phys.Rev. D57 (1998) 2837-2846 · 20 pages, 11 figures, latex
arxiv created 1997/10/14 · openalex publication_date 1998/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We examine the hadronic interactions of quarkonia, focusing on the decays \ensuremathψ(2S)\ensuremath→J/\ensuremathψ\ensuremathπ\ensuremathπ and \ensuremathΥ(2S)\ensuremath→\ensuremathΥ(1S)\ensuremathπ\ensuremathπ. The leading gluonic operators in the multipole expansion are matched onto the chiral Lagrangian with the coefficients fit to available data, both at tree level and loop level in the chiral expansion. A comparison is made with naive expectations loosely based on the large-Nc limit of QCD in an effort to determine the reliability of this limit for other observables, such as the binding of J/\ensuremathψ to nuclei. Crossing symmetry is used to estimate the cross section for inelastic \ensuremathπJ/\stackrel\ensuremath→\ensuremathψ\ensuremathπ\ensuremathψ(2S) scattering, potentially relevant for heavy ion collisions. The radiative decays \ensuremathψ(2S)\ensuremath→J/\ensuremathψ\ensuremathπ+\ensuremathπ^\ensuremath-\ensuremathγ and \ensuremathΥ(2S)\ensuremath→\ensuremathΥ(1S)\ensuremathπ+\ensuremathπ^\ensuremath-\ensuremathγ are determined at tree level in the chiral Lagrangian. Measurement of such decays will provide a test of the multipole and chiral expansions. We briefly discuss decays from the \ensuremathΥ(3S) and also the contribution from \ensuremathπ's to the electromagnetic polarizability of quarkonia.