Quark-Antiquark states and their radiative transitions in terms of the spectral integral equation: Bottomonia
- Russian Academy of Sciences, Petersburg Nuclear Physics Institute (Russian Federation)
In the framework of the spectral integral equation, we consider the bb-bar states and their radiative transitions. We reconstruct the bb-bar 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 ratios Br[{sub {chi}}{sub bJ}(2P) {sup {yields}} {sub {gamma}}{gamma}(2S)]/Br[{sub {chi}}{sub bJ}(2P) {sup {yields}} {sub {gamma}}{gamma}(1S)] for J = 0, 1, 2 are found to be in agreement with data. We determine the bb-bar component of the photon wave function using the data for the e{sup +}e{sup -} annihilation, e{sup +}e{sup -} {sup {yields}} {gamma}(9460), {gamma}(10 023), {gamma}(10 036), {gamma}(10 580), {gamma}(10 865), {gamma}(11 019), and predict partial widths of the two-photon decays {eta}b0 {sup {yields}} {gamma}{gamma}, {chi}b0 {sup {yields}} {gamma}{gamma}, {chi}b2 {sup {yields}} {gamma}{gamma} for the radial excitation states below the BB-bar threshold (n {<=} 3)
- OSTI ID:
- 21075967
- Journal Information:
- Physics of Atomic Nuclei, Vol. 70, Issue 1; Other Information: DOI: 10.1134/S1063778807010097; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Ltd; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
- Country of Publication:
- United States
- Language:
- English
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