https://doi.org/10.1140/epjc/s10052-012-2220-x
Regular Article - Theoretical Physics
Sea quark densities in the effective chiral quark model with generalized harmonic oscillator potential
1
Faculty of Physics, Shahid Bahonar University of Kerman, Kerman, Iran
2
Physics Department, Yazd University, P.O. Box 89195-741, Yazd, Iran
* e-mail: A.Mirjalili@yazd.ac.ir
Received:
3
August
2012
Revised:
2
October
2012
Published online:
21
November
2012
The solution of the Dirac equation with a generalized harmonic oscillator potential is used to extract the constituent bare parton densities. The results are firstly in spatial space which are converted to momentum space, using the Fourier transformation. The final results are presented in terms of the Bjorken x-variable. Employing the effective chiral quark model and the related convolutions, the parton densities inside the proton are obtained. Choosing an appropriate radius of proton, they indicate reasonable behavior. Although the initial framework is completely theoretical, the results for the sea and valence quark densities and also the ratio of d to u valence quarks inside the proton are in good agreement with the available experimental data and some theoretical models.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2012
