### Abstract

We calculate the coupling constants [Formula presented] and [Formula presented] using QCD sum rules in the presence of an external meson field. A covariant derivative is introduced within the [Formula presented] interpolating field so that in the nonrelativistic limit the field dominantly reduces to two quarks in the [Formula presented]-wave state and one quark in the [Formula presented]-wave state. Our result for the couplings obtained by further making use of the soft-meson theorem qualitatively agrees with its phenomenological value extracted from the [Formula presented](1535) decay width. The prediction for the couplings, however, depends on the value of the quark-gluon condensate [Formula presented] which is also important in the calculation of the [Formula presented](1535) mass itself within the sum rule approach.

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

Pages (from-to) | 4278-4281 |

Number of pages | 4 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 56 |

Issue number | 7 |

DOIs | |

Publication status | Published - 1997 Jan 1 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

}

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 56, no. 7, pp. 4278-4281. https://doi.org/10.1103/PhysRevD.56.4278

**Calculation of [Formula presented] and [Formula presented] couplings in QCD sum rules.** / Kim, Hungchong; Lee, Su Houng.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Calculation of [Formula presented] and [Formula presented] couplings in QCD sum rules

AU - Kim, Hungchong

AU - Lee, Su Houng

PY - 1997/1/1

Y1 - 1997/1/1

N2 - We calculate the coupling constants [Formula presented] and [Formula presented] using QCD sum rules in the presence of an external meson field. A covariant derivative is introduced within the [Formula presented] interpolating field so that in the nonrelativistic limit the field dominantly reduces to two quarks in the [Formula presented]-wave state and one quark in the [Formula presented]-wave state. Our result for the couplings obtained by further making use of the soft-meson theorem qualitatively agrees with its phenomenological value extracted from the [Formula presented](1535) decay width. The prediction for the couplings, however, depends on the value of the quark-gluon condensate [Formula presented] which is also important in the calculation of the [Formula presented](1535) mass itself within the sum rule approach.

AB - We calculate the coupling constants [Formula presented] and [Formula presented] using QCD sum rules in the presence of an external meson field. A covariant derivative is introduced within the [Formula presented] interpolating field so that in the nonrelativistic limit the field dominantly reduces to two quarks in the [Formula presented]-wave state and one quark in the [Formula presented]-wave state. Our result for the couplings obtained by further making use of the soft-meson theorem qualitatively agrees with its phenomenological value extracted from the [Formula presented](1535) decay width. The prediction for the couplings, however, depends on the value of the quark-gluon condensate [Formula presented] which is also important in the calculation of the [Formula presented](1535) mass itself within the sum rule approach.

UR - http://www.scopus.com/inward/record.url?scp=0000295303&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000295303&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.56.4278

DO - 10.1103/PhysRevD.56.4278

M3 - Article

AN - SCOPUS:0000295303

VL - 56

SP - 4278

EP - 4281

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 7

ER -