### Abstract

We formulate a relativistic bound-state calculation of the decay of (0-+) mesons into two gluons or two photons. The decays of c, b, and b are calculated and a value of s deduced from the total width of c. The calculated value for c2 is in agreement with experiment. The decays of 2 and 2 are calculated and by comparison with experiment and the bound on 2, restrictions are placed on the X, Y, X, and Y mixing coefficients of Rosner. The comparison with the Schrödinger-equation calculations shows that the inclusion of relativistic propagators spreads out the annihilations so that they do not occur at r=0. This suppresses the 2S and higher-level decays, with the greatest suppression for the lightest quarks.

Original language | English |
---|---|

Pages (from-to) | 3392-3400 |

Number of pages | 9 |

Journal | Physical Review D |

Volume | 36 |

Issue number | 11 |

DOIs | |

Publication status | Published - 1987 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review D*,

*36*(11), 3392-3400. https://doi.org/10.1103/PhysRevD.36.3392

**Formulation of two-photon and two-gluon decays of pseudoscalar mesons in a relativistic bound-state calculation.** / Silverman, Dennis; Yao, Herng.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 36, no. 11, pp. 3392-3400. https://doi.org/10.1103/PhysRevD.36.3392

}

TY - JOUR

T1 - Formulation of two-photon and two-gluon decays of pseudoscalar mesons in a relativistic bound-state calculation

AU - Silverman, Dennis

AU - Yao, Herng

PY - 1987/1/1

Y1 - 1987/1/1

N2 - We formulate a relativistic bound-state calculation of the decay of (0-+) mesons into two gluons or two photons. The decays of c, b, and b are calculated and a value of s deduced from the total width of c. The calculated value for c2 is in agreement with experiment. The decays of 2 and 2 are calculated and by comparison with experiment and the bound on 2, restrictions are placed on the X, Y, X, and Y mixing coefficients of Rosner. The comparison with the Schrödinger-equation calculations shows that the inclusion of relativistic propagators spreads out the annihilations so that they do not occur at r=0. This suppresses the 2S and higher-level decays, with the greatest suppression for the lightest quarks.

AB - We formulate a relativistic bound-state calculation of the decay of (0-+) mesons into two gluons or two photons. The decays of c, b, and b are calculated and a value of s deduced from the total width of c. The calculated value for c2 is in agreement with experiment. The decays of 2 and 2 are calculated and by comparison with experiment and the bound on 2, restrictions are placed on the X, Y, X, and Y mixing coefficients of Rosner. The comparison with the Schrödinger-equation calculations shows that the inclusion of relativistic propagators spreads out the annihilations so that they do not occur at r=0. This suppresses the 2S and higher-level decays, with the greatest suppression for the lightest quarks.

UR - http://www.scopus.com/inward/record.url?scp=35949008833&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevD.36.3392

DO - 10.1103/PhysRevD.36.3392

M3 - Article

VL - 36

SP - 3392

EP - 3400

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 11

ER -