Chiral odd structure functions from a chiral soliton

Journal Article · Tue Sep 01 04:00:00 EDT 1998 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.58.054014· OSTI ID:641571

Gamberg, L ^[1]; Reinhardt, H; Weigel, H ^[2]

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1. Department of Physics and Astronomy, University of Oklahoma, 440 West Brooks Avenue, Norman, Oklahoma 73019-0225 (United States)
2. Institute for Theoretical Physics, Tuebingen University, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)

We calculate the chiral odd quark distributions and the corresponding structure functions h{sub T}(x,Q{sup 2}) and h{sub L}(x,Q{sup 2}) within the Nambu{endash}Jona-Lasinio chiral soliton model for the nucleon. The Q{sup 2} evolution of the twist-2 contributions is performed according to the standard GLAP formalism while the twist-3 piece {bar h}{sub L}(x) is evolved according to the large N{sub C} scheme. We carry out a comparison between the chiral odd structure functions of the proton and the neutron. At the low model scale (Q{sub 0}{sup 2}) we find that the leading twist effective quark distributions f{sub 1}{sup (q)}(x,Q{sub 0}{sup 2}), g{sub 1}{sup (q)}(x,Q{sub 0}{sup 2}) and h{sub T}{sup (q)}(x,Q{sub 0}{sup 2}) satisfy Soffer{close_quote}s inequality for both quark flavors q=u,d. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 641571
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 58; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CHIRAL SYMMETRY
DISTRIBUTION
FLAVOR
NEUTRONS
NUCLEONS
PROTONS
QUARKS
SOLITONS
STRUCTURE FUNCTIONS