2003/12/31 by L. Ya. Glozman · 4 citations
Physics and Astronomy · #Atomic physics #Chiral anomaly #Chiral perturbation theory #Condensed matter physics #Degenerate energy levels #Excited state #High-Energy Particle Collisions Research #Meson #Multiplet #Parity (physics) #Partial wave analysis #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Spectral line #Spins #hep-ex #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1016/j.physletb.2004.02.066
published as Phys.Lett.B587:69-77,2004 · 14 pages, discussion and conclusion section is largely extended
arxiv created 2004/02/05 · openalex publication_date 2004/03/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that experimental meson states with spins J=0,1,2,3 in the energy range 1.9–2.4 GeV obtained in a recent partial wave analysis of proton–antiproton annihilation at LEAR remarkably confirm all predictions of chiral symmetry restoration. Classification of excited q̄q mesons according to the representations of chiral U(2)L×U(2)R group is performed. There are two important predictions of chiral symmetry restoration in highly excited mesons: (i) physical states must fill out approximately degenerate parity-chiral multiplets; (ii) some of the physical states with the given I, JPC are members of one parity-chiral multiplet, while the other states with the same I, JPC are members of the other parity-chiral multiplet. For example, while some of the excited ρ(1,1−−) states are systematically degenerate with a1(1,1++) states forming (0,1)+(1,0) chiral multiplets, the other excited ρ(1,1−−) states are degenerate with h1(0,1+−) states ((1/2,1/2) chiral multiplets). Hence, one of the predictions of chiral symmetry restoration is that the combined amount of a1(1,1++) and h1(0,1+−) states must coincide with the amount of ρ(1,1−−) states in the chirally restored regime. It is shown that the same rule applies (and experimentally confirmed) to many other meson states.