Doubly heavy baryons, heavy quark-diquark symmetry, and nonrelativistic QCD

Sean P Fleming, Thomas Mehen

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Article number034502
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume73
Issue number3
DOIs
StatePublished - 2006

Fingerprint

Baryon
Quarks
baryons
quantum chromodynamics
quarks
Symmetry
symmetry
Composite
composite materials
Mesons
Counting
counting
Sector
sectors
Eliminate
derivation
mesons
degrees of freedom
Degree of freedom
formalism

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Doubly heavy baryons, heavy quark-diquark symmetry, and nonrelativistic QCD. / Fleming, Sean P; Mehen, Thomas.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 73, No. 3, 034502, 2006.

Research output: Contribution to journalArticle

@article{4fda778b4422447897a6936fb3f80b81,
title = "Doubly heavy baryons, heavy quark-diquark symmetry, and nonrelativistic QCD",
abstract = "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.",
author = "Fleming, {Sean P} and Thomas Mehen",
year = "2006",
doi = "10.1103/PhysRevD.73.034502",
language = "English (US)",
volume = "73",
journal = "Physical review D: Particles and fields",
issn = "0556-2821",
publisher = "American Institute of Physics",
number = "3",

}

TY - JOUR

T1 - Doubly heavy baryons, heavy quark-diquark symmetry, and nonrelativistic QCD

AU - Fleming, Sean P

AU - Mehen, Thomas

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33244479024&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33244479024&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.73.034502

DO - 10.1103/PhysRevD.73.034502

M3 - Article

AN - SCOPUS:33244479024

VL - 73

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 3

M1 - 034502

ER -