Quarkantiquark 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 bbbar and ccbar systems; we consider the lightquark (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 qqbar 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 twophoton 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 socalled 'confinement interaction.' Themore »
 Authors:
 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; A0980 MESONS; A21320 MESONS; AMPLITUDES; COMPUTER CALCULATIONS; CONFINEMENT; D QUARKS; D S MESONS; FLAVOR MODEL; GEV RANGE 0110; INTEGRAL EQUATIONS; MASS; OMEGA BARYONS; PHOTONS; QUARKANTIQUARK 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. Quarkantiquark 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. Quarkantiquark 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 .
"Quarkantiquark states and their radiative transitions in terms of the spectral integral equation: Light mesons". United States.
doi:10.1134/S1063778807030040.
@article{osti_21075926,
title = {Quarkantiquark 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 bbbar and ccbar systems; we consider the lightquark (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 qqbar 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 twophoton 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 socalled 'confinement interaction.' The description of the data requires the presence of the strong tchannel 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}
}

Earlier by the authors (Yad. Fiz. 70, 68 (2007)), the bb states were treated in the framework of the spectral integral equation, together with simultaneous calculations of radiative decays of the considered bottomonia. In the present paper, such a study is carried out for the charmonium (c cbar) states. We reconstruct the interaction in the cc sector on the basis of the data for the charmonium levels with J{sub PC} = 0{sup +}, 1{sup }, 0{sup ++}, 1{sup ++}, 2{sup ++}, 1{sup +} and radiative transitions {psi}(2S) {sup {yields}} {gamma}{chi}{sub c0}(1P), {gamma}{chi}{sub c1}(1P), {gamma}{chi}{sub c2}(1P), {gamma}{chi}{sub c}(1S) and {chi}{sub c0}(1P),more »

QuarkAntiquark states and their radiative transitions in terms of the spectral integral equation: Bottomonia
In the framework of the spectral integral equation, we consider the bbbar states and their radiative transitions. We reconstruct the bbbar interaction on the basis of data for the levels of the bottomonium states with J{sup PC} = 0{sup +}, 1{sup }, 0{sup ++}, 1{sup ++}, 2{sup ++} as well as the data for the radiative transitions {gamma} (3S) {sup {yields}} {sub {gamma}}{sub {chi}}{sub bJ}(2P) and {gamma}(2S) {sup {yields}} {sub {gamma}}{sub {chi}}{sub bJ}(1P) with J = 0, 1, 2. We calculate bottomonium levels with the radial quantum numbers n {<=} 6, their wave functions, and corresponding radiative transitions. The ratiosmore » 
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Longdistance behavior of the quarkantiquark static potential. Application to lightquark mesons and heavy quarkonia
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