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

Journal Article · Thu Mar 15 00:00:00 EDT 2007 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778807030040· OSTI ID:21075926

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)

We continue the investigation of mesons in terms of the spectral integral equation initiated before for the bb-bar and cc-bar systems; we consider the light-quark (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 qq-bar 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 two-photon 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 so-called 'confinement interaction.' The description of the data requires the presence of the strong t-channel singularities for both scalar and vector exchanges.

• OSTI ID: 21075926
• Journal Information: Physics of Atomic Nuclei, Vol. 70, 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); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
A0-980 MESONS
A2-1320 MESONS
AMPLITUDES
COMPUTER CALCULATIONS
CONFINEMENT
D QUARKS
D S MESONS
FLAVOR MODEL
GEV RANGE 01-10
INTEGRAL EQUATIONS
MASS
OMEGA BARYONS
PHOTONS
QUARK-ANTIQUARK INTERACTIONS
RADIATIVE DECAY
SINGULARITY
T CHANNEL
TRAJECTORIES
U QUARKS
WAVE FUNCTIONS