An Analysis of the Proton Structure Function and the Gluon Distributions at Small x

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Communications in Theoretical Physics ›› 2019, Vol. 71 ›› Issue (01) : 56-66.

Particle Physics and Quantum Field Theory

An Analysis of the Proton Structure Function and the Gluon Distributions at Small x

Luxmi Machahari¹, D. K. Choudhury^1,2

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Abstract

Recently, we reported an analysis of Proton structure function at small x based on Taylor approximated DGLAP equations assuming a plausible relationship between the singlet and the gluon distributions. In this paper, we report a generalised version of the previous work. A corresponding study of the suggested gluon distribution is also made. The present generalised version of the model for the structure function results in a wider x range of phenomenological validity than the earlier one. A comparison of both the models of the proton structure function and the gluon distribution is made with exact result as well as with the Froissart saturated models of Block, Durand and Mckay.

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small x / DGLAP equations / proton structure function / gluon distribution

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Luxmi Machahari, D. K. Choudhury. An Analysis of the Proton Structure Function and the Gluon Distributions at Small x[J]. Communications in Theoretical Physics, 2019, 71(01): 56-66

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