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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 2 Issue 4 (1998) pp 721-727
DOI 10.1007/s100529800734
theoretical physics:
Couplings of heavy hadrons with soft pions from QCD sum rules
A.G. Grozin (1) (a), O.I. Yakovlev (2) (a)
(1) Institut für Physik, Johannes-Gutenberg-Universität, Staudinger Weg 7, D-55099 Mainz, Germany
(2) Institut für Theoretische Physik II, Bayrische-Maximilians-Universität, Am Hubland, D-97074 Würzburg, Germany
Received: 19 June 1997 / Published online: 20 February 1998
Abstract. We estimate the couplings in the Heavy Hadron Chiral Theory (HHCT) lagrangian from the QCD sum rules in an external axial field. We take into account the perturbative correction to the meson correlator in the infinite mass limit. With the perturbative correction and three successive power corrections, the meson correlator in an axial field becomes one of the best known correlators. In spite of this, the corresponding sum rule is not very stable. It yields the result $g_1 F^2/(380 \text{MeV})^3=0.1\div 0.2$, where $F^2=f^2_M m/4=(380 \text{MeV})^3$ is the central value of the heavy meson decay constant with the perturbative correction [14]. This result is surprisingly low as compared with the constituent quark model estimate $g_1=0.75$. The sum rules for $g_{2,3}$ following from nondiagonal $\Sigma-\Sigma$ and diagonal $\Lambda-\Sigma$ baryon correlators in an external axial field suggest $g_{2,3}= 0.4\div 0.7$, while diagonal $\Sigma-\Sigma$ and nondiagonal $\Lambda-\Sigma$ baryon sum rules have too large uncertainties.
(a) On leave from Budker Institute of Nuclear Physics, Novosibirsk 630090, Russia
(a) Onleave from Budker Institute of Nuclear Physics, Novosibirsk 630090, Russia
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Online publication: May 25, 1998
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