Effective field theory Lagrangians for baryons with two and three heavy quarks

Nora Brambilla, Antonio Vairo, and Thomas Rösch
Phys. Rev. D 72, 034021 – Published 23 August 2005

Abstract

By analogy with potential nonrelativistic QCD, we construct effective field theories suitable to describe the heavy-quark sector of baryons made of two and three heavy quarks. A long-standing discrepancy between the hyperfine splitting of doubly heavy baryons obtained in the heavy-quark effective theory and potential models is solved. The one-loop matching of the 4-quark operators of dimension 6 is provided.

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  • Received 10 June 2005

DOI:https://doi.org/10.1103/PhysRevD.72.034021

©2005 American Physical Society

Authors & Affiliations

Nora Brambilla* and Antonio Vairo

  • Dipartimento di Fisica, INFN and Università degli Studi di Milano via Celoria 16, 20133 Milano, Italy

Thomas Rösch

  • Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany

  • *Electronic address: nora.brambilla@mi.infn.it
  • Electronic address: antonio.vairo@mi.infn.it
  • Electronic addresses: t.roesch@thphys.uni-heidelberg.de, thomas.roesch@sap.com

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Issue

Vol. 72, Iss. 3 — 1 August 2005

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