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

Journal Article · Thu Feb 15 04:00:00 EST 2007 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778807020184· OSTI ID:21075933

Anisovich, V V; Dakhno, L G; Matveev, M A; Nikonov, V A; Sarantsev, A V ^[1]

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1. Russian Academy of Sciences, Petersburg Nuclear Physics Institute (Russian Federation)

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 c-bar) states. We reconstruct the interaction in the c-c 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 c-c levels and their wave functions are calculated for the radial excitations with n {<=} 6. Also, we determine the c-c 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 two-photon 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 c-c 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)

• OSTI ID: 21075933
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 2 Vol. 70; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BOTTOMONIUM
COMPUTER CALCULATIONS
ELECTRON-POSITRON INTERACTIONS
ELECTRONS
EXCITATION
INTEGRAL EQUATIONS
J PSI-3097 MESONS
PARTICLE DECAY
PHOTONS
POSITRONS
PSI-3770 MESONS
PSI-4040 MESONS
PSI-4160 MESONS
PSI-4415 MESONS
QUARK-ANTIQUARK INTERACTIONS
RADIATIVE DECAY
S STATES
SPECTRAL FUNCTIONS
WAVE FUNCTIONS