Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon

Details Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon

2007-03-22

arxiv.org/abs/nucl-th/0703073v2

Nucl.Phys.A798:96-131,2008

Physics

Nuclear Physics

Nuclear Theory

33 pages, 10 figures

Scientific paper

10.1016/j.nuclphysa.2007.10.012

We discuss the first moments of the parity-even Generalized Parton Distributions (GPDs) in a nucleon, corresponding to six (generalized) vector form factors. We evaluate these fundamental properties of baryon structure at low energies, utilizing the methods of covariant Chiral Perturbation Theory in the baryon sector (BChPT). Our analysis is performed at leading-one-loop order in BChPT, predicting both the momentum and the quark-mass dependence for the three (generalized) isovector and (generalized) isoscalar form factors, which are currently under investigation in lattice QCD analyses of baryon structure. We also study the limit of vanishing four-momentum transfer where the GPD-moments reduce to the well known moments of Parton Distribution Functions (PDFs). For the isovector moment _{u-d} our BChPT calculation predicts a new mechanism for chiral curvature, connecting the high values for this moment typically found in lattice QCD studies for large quark masses with the smaller value known from phenomenology. Likewise, we analyze the quark-mass dependence of the isoscalar moments in the forward limit and extract the contribution of quarks to the total spin of the nucleon. We close with a first glance at the momentum dependence of the isoscalar C-form factor of the nucleon.

Affiliated with

Also associated with

No associations

Rating

Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168663