Unpolarized and polarized quark distributions in the large- N{sub c} limit

Journal Article · Wed Oct 01 04:00:00 EDT 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.4069· OSTI ID:542758

Diakonov, D I ^[1]; Petrov, V Y ^[2]; Pobylitsa, P V; Polyakov, M V; Weiss, C ^[3]

---

1. NORDITA, Blegdamsvej 17, 2100 Copenhagen O/ (Denmark)
2. Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188350 (Russia)
3. Institut fuer Theoretische Physik II, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)

The isosinglet unpolarized and isovector polarized twist-2 quark distributions of the nucleon at low normalization point are calculated in the large- N{sub c} limit. The nucleon is described as a soliton of the effective chiral theory. We derive the expressions for the distribution functions in the large-N{sub c} limit starting from their definition as numbers of partons carrying a momentum fraction x in the infinite momentum frame. We develop a numerical method for computation of the quark and antiquark distributions as sums over the quark single-particle levels in the pion field of the soliton. The contributions of the discrete bound-state level as well as the Dirac continuum are taken into account. The quark and antiquark distributions obtained explicitly satisfy all general requirements. The results are in reasonable agreement with parametrizations of the data at a low normalization point. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 542758
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUND STATE
CHIRAL SYMMETRY
DISTRIBUTION FUNCTIONS
NUCLEONS
NUMERICAL ANALYSIS
PARTON MODEL
PARTONS
POLARIZATION
QUANTUM CHROMODYNAMICS
QUARKS
SOLITONS