# Quark-antiquark 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 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 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; 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

### 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: 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.
```*Quark-antiquark 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 .
"Quark-antiquark states and their radiative transitions in terms of the spectral integral equation: Charmonia". United States.
doi:10.1134/S1063778807020184.
```

```
@article{osti_21075933,
```

title = {Quark-antiquark 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 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)},

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}

}