D. K. Choudhury

Gauhati University

Particle physicsQuantum chromodynamicsPhysicsQuantum electrodynamicsProton

12Publications

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41Citations

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Publications 12

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#1D. K. Choudhury (GU: Gauhati University)H-Index: 4

#2Baishali Saikia (GU: Gauhati University)H-Index: 2

Last. K. Kalita (GU: Gauhati University)H-Index: 7

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In this paper, we report an analysis of partial momentum fractions carried by quarks and gluons in six alternative phenomenological models of proton structure function valid in limited small x regions: xai ≤ x ≤ xbi, i = 1 to 6; the limits being determined by phenomenological range of validity in each model. Since the physics of small x is not completely understood at this point, we have considered both self-similarity-based as well as QCD-based models. The procedure by which one can determine t...

#1D. K. ChoudhuryH-Index: 4

#2Baishali SaikiaH-Index: 2

Froissart Bound implies that the total proton-proton cross-section (or equivalently structure function) cannot rise faster than the logarithmic growth \log^2 s \sim \log^2 1/x where \textit{s} is the square of the center of mass energy and \textit{x} is the Bjorken variable. Compatibility of such behavior with the notion of self-similarity in a model of structure function suggested by us sometime back is now generalized to more recent improved self-similarity based models and compare with rec...

A Lower Bound on Longitudinal Structure Function at Small x from a Self-Similarity Based Model of Proton

#1Akbari JahanH-Index: 4

#2D. K. ChoudhuryH-Index: 4

Self-similarity based model of proton structure function at small x was reported in the literature sometime back. The phenomenological validity of the model is in the kinematical region 6.2 × 10−7 ≤ x ≤ 10−2 and 0.045 ≤ Q2 ≤ 120 GeV2. We use momentum sum rule to pin down the corresponding self-similarity-based gluon distribution function valid in the same kinematical region. The model is then used to compute bound on the longitudinal structure function FL(x, Q2) for Altarelli—Martinelli equation...

A lower bound on the Longitudinal Structure Function at small x from a self-similarity based model of Proton

#1Akbari JahanH-Index: 1

#2D. K. ChoudhuryH-Index: 4

Self-similarity based model of proton structure function at small \textit{x} was reported in the literature sometime back. The phenomenological validity of the model is in the kinematical region 6.2\, \times \, 10^{-7} \leq x \leq 10^{-2}and 0.045 \leq Q^{2} \leq 120 \, \mathrm{GeV^{2}} We use momentum sum rule to pin down the corresponding self-similarity based gluon distribution function valid in the same kinematical region. The model is then used to compute bound on the longitudinal ...

#1Akbari JahanH-Index: 4

#2D. K. ChoudhuryH-Index: 4

The notion of self-similarity, pursued earlier for small x physics at HERA, is used to construct a model for double parton distribution functions (dPDFs) at small x1 and x2, the longitudinal fractional momenta of two partons. A necessary input to such a theoretical approach is the parton distribution functions (PDFs). In this model, the most general form of dPDF is found to have total thirteen parameters to be fitted from LHC data. We show that the constructed dPDF does not factorize into two si...

#1Akbari JahanH-Index: 4

#2D. K. ChoudhuryH-Index: 4

The Froissart bound implies that the total cross section (or, equivalently, the structure function) cannot rise faster than the logarithmic growth of \ln^{2} \left(\frac{1}{x} \right) In this work, we show that such a slow growth is not compatible with the notion of self-similarity. As a result, it calls for the modification of the defining transverse-momentum-dependent parton density function (TMD PDF) of a self-similarity based proton structure function F_{2} \left(x,Q^{2} \right)at sma...

A MODEL CONSTRUCTION OF SELF-SIMILARITY BASED DOUBLE PARTON DISTRIBUTION FUNCTIONS FOR PROTON–PROTON COLLISION AT LHC

#1D. K. Choudhury (GU: Gauhati University)H-Index: 4

#2Akbari Jahan (GU: Gauhati University)H-Index: 4

We construct a model for double parton distribution functions (dPDFs) based on the notion of self-similarity, pursued earlier for small x physics at HERA. The most general form of dPDFs contains total 13 parameters to be fitted from data of proton–proton collision at LHC. It is shown that the constructed dPDF does not factorize into two single PDFs in conformity with QCD expectation, and it satisfies the condition that at the kinematic boundary x1+x2 = 1 (where x1 and x2 are the longitudinal fra...

#1Akbari Jahan (GU: Gauhati University)H-Index: 4

#2D. K. Choudhury (GU: Gauhati University)H-Index: 4

Momentum sum rule can be used as an inequality to estimate the lower and upper bounds of the momentum fractions of quarks and gluons in a model of proton valid in a limited x range. We compute such bounds in a self-similarity based model of proton structure function valid in the range 6.2 × 10-7 ≤ x ≤ 10-2. The results conform to the asymptotic QCD expectations.

#1Akbari Jahan (GU: Gauhati University)H-Index: 4

#2D. K. Choudhury (GU: Gauhati University)H-Index: 4

In this paper, we use momentum sum rule to compute the fractions of momentum carried by quarks and gluons in a self-similarity based model of proton. Comparison of the results with the prediction of QCD asymptotics is also made.

Fractal Inspired Models of Quark and Gluon Distributions and Longitudinal Structure Function FL(x, Q2) at small x

#1Akbari Jahan (GU: Gauhati University)H-Index: 4

#2D. K. Choudhury (GU: Gauhati University)H-Index: 4

In recent years, Fractal Inspired Models of quark and gluon densities at small x have been proposed. In this paper, we investigate longitudinal structure function F L (x, Q 2) within this approach. We make predictions using the Quantum Chromodynamics (QCD) based approximate relation between the longitudinal structure function and the gluon density. As the Altarelli-Martinelli equation for the longitudinal structure function cannot be applied to Model I due to the presence of a singularity in the...

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