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 04:00:00 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, Journal Name: Physics of Atomic Nuclei Journal Issue: 3 Vol. 73; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

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