The {rho} {sup {yields} {gamma}{pi}} and {omega} {sup {yields} {gamma}{pi}} decays in quark-model approach and estimation of coupling for pion emission by quark

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778810030087· OSTI ID:21426754

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

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1. RAS, Petersburg Nuclear Physics Institute (Russian Federation)

In the framework of the relativistic and gauge-invariant spectral integral technique, we calculate radiative decays {rho}(770) {sup {yields} {gamma}{pi}}(140) and {omega}(780) {sup {yields} {gamma}{pi}}(140) supposing all mesons ({pi}, {rho}, and {omega}) to be quark-antiquark states. The qq-bar wave functions found for mesons and photon lead to a reasonably good description of data ( {Gamma} (exp){rho} {+-} to {gamma} {pi} 68 {+-} 30 keV, {Gamma} (exp) {rho} 0 to {gamma} {pi} 0 = 77 {+-} 28 keV, {Gamma} (exp) {omega} to {gamma} {pi} 0 = 776 {+-} 45 keV) which makes it possible to estimate the coupling for the bremsstrahlung emission of pion by quarks g{sub {pi} {identical_to}} g{sub {pi}}(u {sup {yields}}d{pi}). We have found two values for the pion bremsstrahlung coupling: vertical bar g{sub {pi}}vertical bar = 16.7 {+-} 0.3{sub -2.3}{sup +0.1} (Solution I) and vertical bar g{sub {pi}}vertical bar = 3.0 {+-} 0.3{sub -2.1}{sup +0.1} (Solution II). Within SU(6) symmetry for nucleons, Solution I gives us for {pi}NN coupling the value 16.4 {<=} g{sub {pi}NN}{sup 2}(4{pi}) {<=} 23.2, which is in qualitative agreement with the {pi}N scattering data, g{sub {pi}NN}{sup 2}/(4{pi}) {r_brace}{approx} 14. For excited states, we have estimated the partial widths in Solution I as follows: {Gamma}({rho}{sub 2S}{sup {+-} {yields} {gamma}{pi}}) {r_brace}{approx} 10-130 keV, {Gamma}({rho}{sub 2S}{sup 0} {sup {yields} {gamma}{pi}}) {r_brace}{approx} 10-130 keV, {Gamma}({omega}{sub 2S} {sup {yields} {gamma}{pi}}) {r_brace}{approx} 60-1080 keV. The large uncertainties emphasize the necessity to carry out measurements of the meson radiative processes in the region of large masses.

• OSTI ID: 21426754
• Journal Information: Physics of Atomic Nuclei, Vol. 73, Issue 3; Other Information: DOI: 10.1134/S1063778810030087; Copyright (c) 2010 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BREMSSTRAHLUNG
COLOR MODEL
EXCITED STATES
GAUGE INVARIANCE
KEV RANGE
MASS
MATHEMATICAL SOLUTIONS
NUCLEONS
OMEGA BARYONS
PHOTONS
PIONS
QUARK-ANTIQUARK INTERACTIONS
QUARKS
RADIATIVE DECAY
RELATIVISTIC RANGE
RHO-770 MESONS
SU-6 GROUPS
WAVE FUNCTIONS
BARYONS
BOSONS
COMPOSITE MODELS
DECAY
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
ENERGY LEVELS
ENERGY RANGE
FERMIONS
FUNCTIONS
HADRONS
HYPERONS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MESONS
PARTICLE DECAY
PARTICLE INTERACTIONS
PARTICLE MODELS
PSEUDOSCALAR MESONS
QUARK MODEL
RADIATIONS
STRANGE PARTICLES
SU GROUPS
SYMMETRY GROUPS
VECTOR MESONS