Doubly heavy baryons, heavy quark-diquark symmetry, and nonrelativistic QCD
In the heavy quark limit, properties of heavy mesons and doubly heavy baryons are related by heavy quark-diquark symmetry. This problem is reanalyzed in the framework of nonrelativistic QCD (NRQCD). We introduce a novel method for deriving potential NRQCD (pNRQCD) Lagrangians for composite fields from vNRQCD, which contains quarks and antiquarks as explicit degrees of freedom and maintains manifest power counting in the velocity via a label formalism. A Hubbard-Stratonovich transformation is used to eliminate four quark interactions in vNRQCD and then quarks and antiquarks are integrated out to get effective Lagrangians for composite fields. This method is used to rederive Lagrangians for the QQ̄ and QQ sectors of pNRQCD and give a correct derivation of the O(1/mQ) prediction for the hyperfine splitting of doubly heavy baryons. © 2006 The American Physical Society.
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- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 5101 Astronomical sciences
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
- 0201 Astronomical and Space Sciences
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Published In
DOI
EISSN
ISSN
Publication Date
Volume
Issue
Related Subject Headings
- Nuclear & Particles Physics
- 5107 Particle and high energy physics
- 5101 Astronomical sciences
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics
- 0201 Astronomical and Space Sciences