Abstract
The firm understanding of standard quark-antiquark states (including excited states) is necessary to search for non-conventional mesons with the same quantum numbers. In this work, we study the phenomenology of two nonets of excited vector mesons, which predominantly correspond to radially excited vector mesons with quantum numbers n2S+1LJ = 23S1 and to orbitally excited vector mesons with quantum numbers n2S+1LJ = 13D1. We evaluate the decays of these mesons into two pseudoscalar mesons and into a pseudoscalar and a ground-state vector meson by making use of a relativistic quantum field theoretical model based on flavor symmetry. Moreover, we also study the radiative decays into a photon and a pseudoscalar meson by using vector meson dominance. We compare our results to the PDG and comment on open issues concerning the corresponding measured resonances. Within our approach, we are also able to make predictions for a not-yet discovered ss state in the n2S+1LJ = 13D1 nonet, which has a mass of about 1.93 GeV. This resonance can be searched in the upcoming GlueX and CLAS12 experiments which take place at the Jefferson Lab.
Highlights
In the last decades many theoretical calculations have appeared and numerous experimental observations have been made to explain the structure of matter
We study the phenomenology of two nonets of excited vector mesons, which predominantly correspond to radially excited vector mesons with quantum numbers n 2S +1LJ = 2 3S 1 and to orbitally excited vector mesons with quantum numbers n 2S +1LJ = 1 3D1
We evaluate the decays of these mesons into two pseudoscalar mesons and into a pseudoscalar and a ground-state vector meson by making use of a relativistic quantum field theoretical model based on flavor symmetry
Summary
In the last decades many theoretical calculations have appeared and numerous experimental observations have been made to explain the structure of matter. The first group is identified with the states {ρ(1450), K∗(1410), ω(1420), φ(1680)} characterized by the principal number n = 2, spacial angular momentum L = 0 and spin S = 1 (in the old spectroscopy notation n 2S +1LJ = 2 3S 1) They are (predominantly) radially excited vector mesons. The second group is identified with the states {ρ(1700), K∗(1680), ω(1650), φ(???)} characterized by the principal number n = 1, spacial angular momentum L = 2 and spin S = 1 (which corresponds to n 2S +1LJ = 1 3D1) They are (predominantly) orbitally excited vector mesons. Field Theoretical (QFT) relativistic Lagrangian of our model; in Sec. 3 we present the results for two types of decays, strong and radiative ones, and we show the predictions for a putative ssstate in the nonet of orbitally excited vector mesons.
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