Orbital structure of quarks inside the nucleon in the light-cone diquark model

Journal Article · Mon Nov 01 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.094005· OSTI ID:21503784

Zhun, Lu ^[1]; Schmidt, Ivan ^[2]

---

1. Department of Physics, Southeast University, Nanjing 211189 (China)
2. Departamento de Fisica, Universidad Tecnica Federico Santa Maria, and Centro Cientifico-Tecnologico de Valparaiso Casilla 110-V, Valparaiso (Chile)

We study the orbital angular momentum structure of the quarks inside the proton. By employing the light-cone diquark model and the overlap representation formalism, we calculate the chiral-even generalized parton distribution functions H{sub q}(x,{xi},{Delta}{sup 2}), H-tilde{sub q}(x,{xi},{Delta}{sup 2}), and E{sub q}(x,{xi},{Delta}{sup 2}) at zero skewedness for q=u and d quarks. In our model, E{sub u} and E{sub d} have opposite sign with similar size. Those generalized parton distribution functions are applied to calculate the orbital angular momentum distributions, showing that L{sub u}(x) is positive, while L{sub d}(x) is consistent with zero compared with L{sub u}(x). We introduce the impact parameter dependence of the quark orbital angular momentum distribution. It describes the position space distribution of the quark orbital angular momentum at given x. We found that the impact parameter dependence of the quark orbital angular momentum distribution is axially symmetric in the light-cone diquark model.

• OSTI ID: 21503784
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
AXIAL SYMMETRY
BARYONS
CHIRALITY
COMPUTERIZED SIMULATION
D QUARKS
DISTRIBUTION
DISTRIBUTION FUNCTIONS
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
HADRONS
IMPACT PARAMETER
NUCLEONS
ORBITAL ANGULAR MOMENTUM
PARTICLE PROPERTIES
PROTONS
QUARKS
SIMULATION
SYMMETRY