2004/10/31 by D. V. Bugg, D.V. Bugg
Physics and Astronomy · #Amplitude #Atomic physics #Hadron #High-Energy Particle Collisions Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #X(3872) #hep-ph
paper · pdf · doi:10.1103/physrevd.71.016006
published as Phys.Rev.D71:016006,2005 · 18 pages, 3 figures Sign errors corrected in eqns. (4) and (16). Notation clarified in Secn. (4.5). Comments added onthe course partial wave analysis might take
openalex publication_date 2005/01/12 · arxiv created 2005/02/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Belle data for the \ensuremathπ\ensuremathπ mass spectrum in X(3872)\ensuremath→\ensuremathπ+\ensuremathπ^\ensuremath-J/\ensuremathΨ are well fitted by \ensuremathρ+J/\ensuremathΨ with JPC=1++, but are poorly fitted by the \ensuremathπ\ensuremathπ S-wave. This rules out quantum numbers 1^+\ensuremath-, 2-- and 3--. Formulas for partial wave amplitudes are given for all likely JPC and decay modes of the 3941 MeV peak which Belle observe in \ensuremathω+J/\ensuremathΨ. Angular correlations involving up to five angles may allow a spin-parity determination, even with quite low statistics. Special attention is given to the case where X(3872) is a cusp or quasi-bound state with the same quantum numbers as the 3941 MeV peak.