arXiv subjects

P. V. Pobylitsa

Publications and source records attributed to P. V. Pobylitsa.

41 records · Page 3Linked to original sources

arXiv1997

Unpolarized and polarized quark distributions in the large-Nc limit

The isosinglet unpolarized and isovector polarized twist-2 quark distributions of the nucleon at low normalization point are calculated in the large-Nc limit. The nucleon is described as a soliton of the effective chiral theory. We derive the expressions for the distribution functions in the large-Nc limit starting from their definition as numbers of partons carrying 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. Results are in reasonable agreement with parametrizations of the data at low normalization point.

hep-ph↗

arXiv1996

Transverse Spin Distribution Function of Nucleon in Chiral Theory

At large N_c the nucleon can be viewed as a soliton of the effective chiral lagrangian. This picture of nucleons allows a consistent nonperturbative calculation of the leading-twist parton distributions at a low normalization point. We derive general formulae for the transverse spin quark distribution h_1(x) in the chiral quark-soliton model. We present numerical estimates and compare them to the results obtained in other models.

hep-ph↗

arXiv1995

$1/N_c$ Rotational Corrections to $g_A$ in the NJL Model and Charge Conjugation

We show that the $1/N_c$ rotational corrections to $g_A$, derived using the semiclassical quantization scheme in the NJL model, possess correct properties under charge conjugation.

hep-ph↗

arXiv1995

Electromagnetic form factors of the nucleon in the chiral quark soliton model

In this paper we present the derivation as well as the numerical results for the electromagnetic form factors of the nucleon within the chiral quark soliton model in the semiclassical quantization scheme. The model is based on semibosonized SU(2) Nambu -- Jona-Lasinio lagrangean, where the boson fields are treated as classical ones. Other observables, namely the nucleon mean squared radii, the magnetic moments, and the nucleon--$Δ$ splitting are calculated as well. The calculations have been done taking into account the quark sea polarization effects. The final results, including rotational $1/N_c$ corrections, are compared with the existing experimental data, and they are found to be in a good agreement for the constituent quark mass of about 420 MeV. The only exception is the neutron electric form factor which is overestimated.

hep-ph↗

arXiv1994

Electromagnetic Nucleon Properties and Quark Sea Polarization

In this paper we present the derivation as well as the numerical results for all electromagnetic form factors of the nucleon within the chiral quark soliton model in the semiclassical quantization scheme. The model is based on a semibosonized Nambu -- Jona-Lasinio lagrangean where the boson fields are treated as classical ones. Other observables, namely the nucleon mean squared radii, the magnetic moments and the nucleon--$Δ$ splitting are calculated as well. The calculations have been done taking into account the quark sea polarization effects. The final results, including rotational $1/N_c$ corrections, are compared with the existing experimental data and they are found to be in a good agreement for the constituent quark mass of $400-420$ MeV.

hep-ph↗