Effective Field Theory Lagrangians for Baryons with Two and Three Heavy Quarks

Abstract

By analogy with pNRQCD, 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 HQET and potential models is solved. The one-loop matching of the 4-quark operators of dimension 6 is provided.

arXiv comment37 pages, 4 figures, revtex4, feynmf.sty; typos corrected, reference added. Accepted for publication in Physical Review D

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