Non-perturbative dynamics of the heavy-light quark system in the non-recoil limit

N. Brambilla; A. Vairo

doi:10.1016/S0370-2693(97)00749-1

Non-perturbative dynamics of the heavy-light quark system in the non-recoil limit

N. Brambilla, A. Vairo

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Abstract

Starting from the relativistic gauge-invariant quark-antiquark Green function we obtain the relevant interaction in the one-body limit, which can be interpreted as the kernel of a non-perturbative Dirac equation. We study this kernel in different kinematic regions, reproducing, in particular, for heavy quark the potential case and sum rules results. We discuss the relevance of the result for heavy-light mesons and the relation with the phenomenological Dirac equations used up to now in the literature.

Original language	English
Pages (from-to)	167-173
Number of pages	7
Journal	Physics Letters B
Volume	407
Issue number	2
DOIs	https://doi.org/10.1016/S0370-2693(97)00749-1
State	Published - 28 Aug 1997
Externally published	Yes

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title = "Non-perturbative dynamics of the heavy-light quark system in the non-recoil limit",

abstract = "Starting from the relativistic gauge-invariant quark-antiquark Green function we obtain the relevant interaction in the one-body limit, which can be interpreted as the kernel of a non-perturbative Dirac equation. We study this kernel in different kinematic regions, reproducing, in particular, for heavy quark the potential case and sum rules results. We discuss the relevance of the result for heavy-light mesons and the relation with the phenomenological Dirac equations used up to now in the literature.",

author = "N. Brambilla and A. Vairo",

note = "Funding Information: The authors gratefully acknowledge the Jefferson Lab Theory Group as well as the Hampton University for their warm hospitality during the first stage of this work, the Alexander von Humboldt Foundation for supporta nd D. Gromes for useful discussions. This work was supportedin part by NATO grant under contractN . CRG960574.",

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T1 - Non-perturbative dynamics of the heavy-light quark system in the non-recoil limit

AU - Brambilla, N.

AU - Vairo, A.

N1 - Funding Information: The authors gratefully acknowledge the Jefferson Lab Theory Group as well as the Hampton University for their warm hospitality during the first stage of this work, the Alexander von Humboldt Foundation for supporta nd D. Gromes for useful discussions. This work was supportedin part by NATO grant under contractN . CRG960574.

PY - 1997/8/28

Y1 - 1997/8/28

N2 - Starting from the relativistic gauge-invariant quark-antiquark Green function we obtain the relevant interaction in the one-body limit, which can be interpreted as the kernel of a non-perturbative Dirac equation. We study this kernel in different kinematic regions, reproducing, in particular, for heavy quark the potential case and sum rules results. We discuss the relevance of the result for heavy-light mesons and the relation with the phenomenological Dirac equations used up to now in the literature.

AB - Starting from the relativistic gauge-invariant quark-antiquark Green function we obtain the relevant interaction in the one-body limit, which can be interpreted as the kernel of a non-perturbative Dirac equation. We study this kernel in different kinematic regions, reproducing, in particular, for heavy quark the potential case and sum rules results. We discuss the relevance of the result for heavy-light mesons and the relation with the phenomenological Dirac equations used up to now in the literature.

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U2 - 10.1016/S0370-2693(97)00749-1

DO - 10.1016/S0370-2693(97)00749-1

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VL - 407

SP - 167

EP - 173

JO - Physics Letters B

JF - Physics Letters B

IS - 2

ER -

Non-perturbative dynamics of the heavy-light quark system in the non-recoil limit

Abstract

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