Moments of Isovector Quark Distributions in Lattice QCD

Conference · Sat Jun 01 00:00:00 EDT 2002

OSTI ID:802944

Detmold, W; Melnitchouk, Wally; Thomas, A W

We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalization of the nucleon matrix elements of the corresponding operators and thereby develop formulae with which to extrapolate the moments of the unpolarized, helicity and transversity distributions. There formulae are consistent with chiral perturbation theory in the chiral limit and incorporate the correct heavy quark limits. In the polarized cases, the inclusion of intermediate states involving the Delta isobar is found to be very important. The results of our extrapolations are in general agreement with the phenomenological values of these moments where they are known, and for the first time we perform an extrapolation of the low moments of the isovector transversity distribution which is consistent with chiral symmetry.

• Research Organization: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 802944
• Report Number(s): JLAB-THY-02-51; DOE/ER/40150-2283; TRN: US0205660
• Resource Relation: Conference: QNP '02 (International Conference on Quark Nuclear Physics), Juelich (DE), 06/09/2002--06/14/2002; Other Information: PBD: 1 Jun 2002
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHIRAL SYMMETRY
ENANTIOMORPHS
EXTRAPOLATION
HELICITY
ISOVECTORS
MATRIX ELEMENTS
NUCLEAR PHYSICS
NUCLEONS
PARTONS
PERTURBATION THEORY
PIONS
QUANTUM CHROMODYNAMICS
QUARKS