Chiral multiplets of excited mesons

L. Ya. Glozman

doi:10.1016/j.physletb.2004.02.066

paper

Chiral multiplets of excited mesons

arXiv:hep-ph/0312354 · doi:10.1016/j.physletb.2004.02.066

Abstract

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 recent partial wave analysis of proton-antiproton annihilation at LEAR remarkably confirm all predictions of chiral symmetry restoration. Classification of excited $q ˉ q$ mesons according to the representations of chiral $U (2)_{L} \times U (2)_{R}$ 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 $I, J^{P C}$ are members of one parity-chiral multiplet, while the other states with the same $I, J^{P C}$ are members of the other parity-chiral multiplet. For example, while some of the excited $ρ (1, 1^{--})$ states are systematically degenerate with $a_{1} (1, 1^{++})$ states forming (0,1)+(1,0) chiral multiplets, the other excited $ρ (1, 1^{--})$ states are degenerate with $h_{1} (0, 1^{+-})$ states ((1/2,1/2) chiral multiplets). Hence, one of the predictions of chiral symmetry restoration is that the combined amount of $a_{1} (1, 1^{++})$ and $h_{1} (0, 1^{+-})$ 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.

14 pages, discussion and conclusion section is largely extended

Chiral multiplets of excited mesons

Abstract

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