Dynamical and thermal descriptions in parton distribution functions

Cleymans, J.; Lykasov, G.I.; Sorin, Alexander; Teryaev, O. V.

doi:10.1134/s1063778812060099

Cited by 14 publications

(9 citation statements)

References 31 publications

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“…One may also cast some doubts on the use of the statistical approach, since the total number of valence partons is small, 2-u quarks and 1-d quark in the proton, but the fact that one writes a probability density makes reasonable to apply a statistical approach to probabilities. Finally, we would like to refer to an interesting recent paper suggesting a duality principle between our approach and a thermal description of the PDF [19]. This duality allows them to introduce an effective temperature T∼120-150MeV, which is approximately the same for longitudinal and transverse momentum.…”

Section: Discussionmentioning

confidence: 91%

The Transverse Momentum Dependent Statistical Parton Distributions Revisited

Bourrely

Buccella

Soffer

2013

Int. J. Mod. Phys. A

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The extension of the statistical parton distributions to include their transverse momentum dependence (TMD) is revisited by considering that the proton target has a finite longitudinal momentum. The TMD will be generated by means of a transverse energy sum rule. The new results are mainly relevant for electron-proton inelastic collisions in the low Q 2 region. We take into account the effects of the Melosh-Wigner rotation for the helicity distributions.

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Section: Discussionmentioning

confidence: 91%

The Transverse Momentum Dependent Statistical Parton Distributions Revisited

Bourrely

Buccella

Soffer

2013

Int. J. Mod. Phys. A

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“…x and p T , by integrating first in x with the gaussian approximation for the exponential, one gets the behavior exp( −2p T µ √x ) [19], with an "effective temperature" µ √x 2 = 49(MeV ) smaller than the range 120−150(MeV ) proposed in [20], but the effect of of quantum statistics leads to a harder spectrum for p T , as it happens for x, since the local maximum for xq(x) for the valence partons is larger thanx, as it is shown in figures 1 and 2. In fact for the non diffractive contribution of the valence partons, which mainly contribute to the larger p T , we have:…”

Section: Resultsmentioning

confidence: 99%

A check-up for the statistical Parton model

Buccella

Sohaily

2015

Mod. Phys. Lett. A

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We compare the Parton distributions deduced in the framework of a quantum statistical approach for both the longitudinal and transverse degrees of freedom with the unpolarized distributions measured at HERA and with the polarized ones proposed in a previous paper, which have been shown to be in very good agreement also with the results of experiments performed after that proposal. The agreement with HERA data in correspondence to very similar values for the "temperature" and the "potentials" found in the previous work gives a robust confirm of the statistical model. The unpolarized distributions are compared also with the result of NNPDF. The free parameters are fixed mainly by data in the range (0.1, 0.5) for the x variable, where the valence Partons dominate, and in the small x region for the diffractive contribution. This feature makes the parametrization proposed here very attractive.

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“…A good description by the Tsallis distribution makes it applicable for hard QCD processes. Authors interpret this as a possible manifestation of the duality between the statistical and dynamical description of strong interactions [21]. In another analysis, Capella et al [22] have studied the multiplicities at the LHC energies in the Pomeron model.…”

Section: Introductionmentioning

confidence: 99%

Multiplicity spectra in pp collisions at high energies in terms of Gamma and Tsallis distributions

Sharma

Kaur

2018

Phys. Rev. D

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In recent years the Tsallis statistics is gaining popularity in describing charged particle production and their properties, in particular pT spectra and the multiplicities in high energy particle collisions. Motivated by its success, an analysis of the LHC data of proton-proton collisions at energies ranging from 0.9 TeV to 7 TeV in different rapidity windows for charged particle multiplicities has been done. A comparative analysis is performed in terms of the Tsallis distribution, the Gamma distribution and the shifted-Gamma distribution. An interesting observation on the inapplicability of these distributions at √ s=7 TeV in the lower rapidity windows is intriguing. The non-extensive nature of the Tsallis statistics is studied by determining the entropic index and its energy dependence. The analysis is extrapolated to predict the multiplicity distribution at √ s=14 TeV for one rapidity window, |y| < 1.5 with the Tsallis function.

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Dynamical and thermal descriptions in parton distribution functions

Cited by 14 publications

References 31 publications

The Transverse Momentum Dependent Statistical Parton Distributions Revisited

The Transverse Momentum Dependent Statistical Parton Distributions Revisited

A check-up for the statistical Parton model

Multiplicity spectra in pp collisions at high energies in terms of Gamma and Tsallis distributions

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