Quarkantiquark states and their radiative transitions in terms of the spectral integral equation: Charmonia
Abstract
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), {chi}{sub c1}(1P), {chi}{sub c2}(1P) {sup {yields}} {gamma}J/{psi}. The cc levels and their wave functions are calculated for the radial excitations with n {<=} 6. Also, we determine the cc component of the photon wave function using the e{sup +}e{sup }annihilation data: e{sup +}e{sup } {sup {yields}} J/{psi}(3097), {psi}(3686), {psi}(3770), {psi}(4040), {psi}(4160), {psi}(4415) and perform the calculations of the partial widths of the twophoton decays for the n = 1 states {eta}{sub c0}(1S), {chi}{sub c0}(1P), {chi}{sub c2}(1P) {sup {yields}} {gamma}{gamma} and n = 2 states {eta}{sub c0}(2S) {sup {yields}} {gamma}{gamma}, {chi}{sub c0}(2P) {sup {yields}} {gamma}{gamma}. We discuss the status of themore »
 Authors:
 Russian Academy of Sciences, Petersburg Nuclear Physics Institute (Russian Federation)
 Publication Date:
 OSTI Identifier:
 21075933
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Atomic Nuclei; Journal Volume: 70; Journal Issue: 2; Other Information: DOI: 10.1134/S1063778807020184; 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; ANNIHILATION; BOTTOMONIUM; COMPUTER CALCULATIONS; ELECTRONPOSITRON INTERACTIONS; ELECTRONS; EXCITATION; INTEGRAL EQUATIONS; J PSI3097 MESONS; PARTICLE DECAY; PHOTONS; POSITRONS; PSI3770 MESONS; PSI4040 MESONS; PSI4160 MESONS; PSI4415 MESONS; QUARKANTIQUARK INTERACTIONS; RADIATIVE DECAY; S STATES; SPECTRAL FUNCTIONS; 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: Charmonia. United States: N. p., 2007.
Web. doi:10.1134/S1063778807020184.
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: Charmonia. United States. doi:10.1134/S1063778807020184.
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: Charmonia". United States.
doi:10.1134/S1063778807020184.
@article{osti_21075933,
title = {Quarkantiquark states and their radiative transitions in terms of the spectral integral equation: Charmonia},
author = {Anisovich, V. V. and Dakhno, L. G. and Matveev, M. A. and Nikonov, V. A. and Sarantsev, A. V.},
abstractNote = {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), {chi}{sub c1}(1P), {chi}{sub c2}(1P) {sup {yields}} {gamma}J/{psi}. The cc levels and their wave functions are calculated for the radial excitations with n {<=} 6. Also, we determine the cc component of the photon wave function using the e{sup +}e{sup }annihilation data: e{sup +}e{sup } {sup {yields}} J/{psi}(3097), {psi}(3686), {psi}(3770), {psi}(4040), {psi}(4160), {psi}(4415) and perform the calculations of the partial widths of the twophoton decays for the n = 1 states {eta}{sub c0}(1S), {chi}{sub c0}(1P), {chi}{sub c2}(1P) {sup {yields}} {gamma}{gamma} and n = 2 states {eta}{sub c0}(2S) {sup {yields}} {gamma}{gamma}, {chi}{sub c0}(2P) {sup {yields}} {gamma}{gamma}. We discuss the status of the recently observed cc states X(3872) and Y(3941): according to our results, the X(3872) can be either {chi}{sub c1}(2P) or {eta}{sub c2}(1D), while Y(3941) is {chi}{sub c2}(2P)},
doi = {10.1134/S1063778807020184},
journal = {Physics of Atomic Nuclei},
number = 2,
volume = 70,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}

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Cross sections and asymmetries for massive quarkantiquark production in electronpositron collisions at the {ital Z}{sub 0} resonance are calculated, for the case of longitudinally polarized electrons. The polarizaton of {ital Z}{sub 0}, {ital P}{sub {ital Z}0}, for the initial electron polarization {ital P}{sub {minus}} is composed of {ital P}{sub {minus}} and the ``natural`` polarization {ital P}{sub {ital Z}}{sup 0}(0)=2{ital av}/({ital v}{sup 2}+{ital a}{sup 2}), and the composition rule for polarization is given. The cross section differential in the quark emission polar angle {theta} is obtained in terms of form factors which are given as functions of the quark mass {italmore »