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Title: Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Light mesons

Abstract

We continue the investigation of mesons in terms of the spectral integral equation initiated before for the bb-bar and cc-bar systems; we consider the light-quark (u, d, s) mesons with masses M {<=} 3 GeV. The calculations have been performed for the mesons lying on linear trajectories in the (n, M{sup 2}) planes, where n is the radial quantum number. Our consideration relates to the qq-bar states with one component in the flavor space, with the quark and antiquark masses equal to each other, such as {pi}(0{sup -+}), {rho}(1{sup --}), {omega}(1{sup --}), {phi}(1{sup --}), a{sub 0}(0{sup ++}), a{sub 1}(1{sup ++}), a{sub 2}(2{sup ++}), b{sub 1}(1{sup +-}), f{sub 2}(2{sup ++}), {pi}{sub 2}(2{sup -+}), {rho}{sub 3}(3{sup --}), {omega}{sub 3}(3{sup --}), {phi}{sub 3}(3{sup --}), {pi}{sub 4}(4{sup -+}) at n {<=} 6. We obtained the wave functions and mass values of mesons lying on these trajectories. The corresponding trajectories are linear, in agreement with data. We have calculated the two-photon decays {pi}, a{sub 0}(980), a{sub 2}(1320), f{sub 2}(1285), f{sub 2}(1525) and radiative transitions {rho}, {omega} {sup {yields}} {gamma}{pi}, which agree qualitatively with the experiment. On this basis, we extract the singular part of the interaction amplitude, which corresponds to the so-called 'confinement interaction.' Themore » description of the data requires the presence of the strong t-channel singularities for both scalar and vector exchanges.« less

Authors:
; ; ; ;  [1]
  1. Russian Academy of Sciences, Petersburg Nuclear Physics Institute (Russian Federation)
Publication Date:
OSTI Identifier:
21075926
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 70; Journal Issue: 3; Other Information: DOI: 10.1134/S1063778807030040; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; A0-980 MESONS; A2-1320 MESONS; AMPLITUDES; COMPUTER CALCULATIONS; CONFINEMENT; D QUARKS; D S MESONS; FLAVOR MODEL; GEV RANGE 01-10; INTEGRAL EQUATIONS; MASS; OMEGA BARYONS; PHOTONS; QUARK-ANTIQUARK INTERACTIONS; RADIATIVE DECAY; SINGULARITY; T CHANNEL; TRAJECTORIES; U QUARKS; WAVE FUNCTIONS

Citation Formats

Anisovich, V. V., Dakhno, L. G., Matveev, M. A., Nikonov, V. A., and Sarantsev, A. V. Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Light mesons. United States: N. p., 2007. Web. doi:10.1134/S1063778807030040.
Anisovich, V. V., Dakhno, L. G., Matveev, M. A., Nikonov, V. A., & Sarantsev, A. V. Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Light mesons. United States. doi:10.1134/S1063778807030040.
Anisovich, V. V., Dakhno, L. G., Matveev, M. A., Nikonov, V. A., and Sarantsev, A. V. Thu . "Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Light mesons". United States. doi:10.1134/S1063778807030040.
@article{osti_21075926,
title = {Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Light mesons},
author = {Anisovich, V. V. and Dakhno, L. G. and Matveev, M. A. and Nikonov, V. A. and Sarantsev, A. V.},
abstractNote = {We continue the investigation of mesons in terms of the spectral integral equation initiated before for the bb-bar and cc-bar systems; we consider the light-quark (u, d, s) mesons with masses M {<=} 3 GeV. The calculations have been performed for the mesons lying on linear trajectories in the (n, M{sup 2}) planes, where n is the radial quantum number. Our consideration relates to the qq-bar states with one component in the flavor space, with the quark and antiquark masses equal to each other, such as {pi}(0{sup -+}), {rho}(1{sup --}), {omega}(1{sup --}), {phi}(1{sup --}), a{sub 0}(0{sup ++}), a{sub 1}(1{sup ++}), a{sub 2}(2{sup ++}), b{sub 1}(1{sup +-}), f{sub 2}(2{sup ++}), {pi}{sub 2}(2{sup -+}), {rho}{sub 3}(3{sup --}), {omega}{sub 3}(3{sup --}), {phi}{sub 3}(3{sup --}), {pi}{sub 4}(4{sup -+}) at n {<=} 6. We obtained the wave functions and mass values of mesons lying on these trajectories. The corresponding trajectories are linear, in agreement with data. We have calculated the two-photon decays {pi}, a{sub 0}(980), a{sub 2}(1320), f{sub 2}(1285), f{sub 2}(1525) and radiative transitions {rho}, {omega} {sup {yields}} {gamma}{pi}, which agree qualitatively with the experiment. On this basis, we extract the singular part of the interaction amplitude, which corresponds to the so-called 'confinement interaction.' The description of the data requires the presence of the strong t-channel singularities for both scalar and vector exchanges.},
doi = {10.1134/S1063778807030040},
journal = {Physics of Atomic Nuclei},
number = 3,
volume = 70,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}