Dipion decays of heavy quarkonium in the field correlator method

Journal Article · Sun Jun 15 00:00:00 EDT 2008 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778808060094· OSTI ID:21402563

Simonov, Yu A ^[1]

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1. Institute of Theoretical and Experimental Physics (Russian Federation)

The mechanism of dipion transitions nS {sup {yields}}n'S {pi}{pi} (n = 3, 2; n' = 2, 1) in bottomonium and charmonium is studied with the use of the chiral string-breaking Lagrangian allowing for the emission of any number of {pi}(K, {nu}), and not containing fitting parameters. The transition amplitude contains two terms: M = a - b, where the first term (a) refers to subsequent one-pion emission, {Gamma} (nS) {yields} {pi} B bar B {yields} {pi} {Gamma} (n'S){pi} , and the second term (b) refers to two-pion emission, {Gamma} (nS) {yields} {pi} {pi} B bar B {yields} {pi} {pi} {Gamma} (n'S). The one parameter formula for the dipion mass distribution is derived, dw/dq {approx} (phase space) x vertical bar {eta} - x vertical bar {sup 2}, where x = (q{sup 2} - 4m{sub {pi}}{sup 2})/(q{sub max}{sup 2} - 4m{sub {pi}}{sup 2}), q{sup 2} m= M{sub {pi}{pi}}{sup 2}. The parameter {nu} dependent on the process is calculated, using SHO wave functions and imposing PCAC restrictions (Adler zero) on amplitudes a and b. The resulting dipion mass distributions are in agreement with experimental data.

• OSTI ID: 21402563
• Journal Information: Physics of Atomic Nuclei, Vol. 71, Issue 6; Other Information: DOI: 10.1134/S1063778808060094; Copyright (c) 2008 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOTTOMONIUM
CHARMONIUM
CHIRALITY
COLOR MODEL
DECAY
EXPERIMENTAL DATA
LAGRANGIAN FUNCTION
MASS DISTRIBUTION
PHASE SPACE
PIONS
TRANSITION AMPLITUDES
WAVE FUNCTIONS
AMPLITUDES
BOSONS
COMPOSITE MODELS
DATA
DISTRIBUTION
ELEMENTARY PARTICLES
FUNCTIONS
HADRONS
INFORMATION
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MESONS
NUMERICAL DATA
PARTICLE MODELS
PARTICLE PROPERTIES
PSEUDOSCALAR MESONS
QUARK MODEL
QUARKONIUM
SPACE
SPATIAL DISTRIBUTION