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

Hungchong Kim, Su Houng Lee

Research output: Contribution to journalArticle

8 Citations (Scopus)

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 languageEnglish
Pages (from-to)4278-4281
Number of pages4
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume56
Issue number7
DOIs
Publication statusPublished - 1997 Jan 1

Fingerprint

sum rules
quantum chromodynamics
quarks
mesons
condensates
theorems
decay
predictions

All Science Journal Classification (ASJC) codes

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

Cite this

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

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 56, No. 7, 01.01.1997, p. 4278-4281.

Research output: Contribution to journalArticle

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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.

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