A Nonextensive Statistical Model for the Nucleon Structure Function

Trevisan, Luis A.; Mirez, Carlos

doi:10.1142/s0218301313500444

Cited by 4 publications

(8 citation statements)

References 58 publications

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“…Recent studies [3] show that the gluons carry about 30% of the momentum. This value is close to one obtained in previous studies [23,24]. As usual, the violation of the GSR is an additional condition to be achieved.…”

Section: Resultssupporting

confidence: 91%

“…In [23,24], the variables were fitted the variables by a system of equations with the usual sum rules for valence quarks, and the violation of the Gottfried sum rule (GSR) (see, e.g., [25]) is an additional result. The GSR violation may be used as information to fit the temperature.…”

Section: Introductionmentioning

confidence: 99%

“…In [23,24] Trevisan and Mirez considered the effects of non-extensivity by Tsallis [26,27] to study the nucleon structure function. Three main variables-the temperature T, the q of Tsallis, and the radius R-were considered in these studies.…”

Section: Introductionmentioning

confidence: 99%

“…Three main variables-the temperature T, the q of Tsallis, and the radius R-were considered in these studies. The model proposed in [23,24] was an adaptation of the model by Bhalerao [20,28] to the non-extensivity. The q-exponential replaces the usual exponential in the distributions.…”

Section: Introductionmentioning

confidence: 99%

“…The paper is organized as follows. In Section 2, the model of [23,24] is discussed and modified to consider the sum of momenta of quarks and gluons separately. Section 3 gives results and discusses those.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

On the Difference between the Radii of Gluons and Quarks

Trevisan

Mirez

Silva³

2021

Physics

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In this paper, in the scope of a non-extensive statistical model for the nucleon’s structure function, the volume of the gluons in the nucleons and the relations among the temperature, T, the parameter “q” of Tsallis statistics, and the scattering energies, Q2, are studied. A system of equations with the usual sum rules are solved for the valence quarks, the experimental results for the polarized structure function, and the estimated carried moments for gluons and quarks. Each state of T and q leads to a set of chemical potentials and different radii for gluons and quarks. We conclude that gluons must occupy a larger volume than the quarks to fit the fraction of the total momentum. A linear function of the temperature with Q2 is obtained as an approach. The obtained range of temperatures is different from the previous models.

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Section: Resultssupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the Difference between the Radii of Gluons and Quarks

Trevisan

Mirez

Silva³

2021

Physics

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Non-extensive effects on the QCD equation of state and fluctuations of conserved charges within Polyakov quark meson model

Diab

2024

J. Phys. G: Nucl. Part. Phys.

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The inﬂuence of non-extensive Tsallis statistics on the hadron phase structure has been investigated using the Polyakov-quark-meson (PQM) model. The analysis examines the non-extensive eﬀects on the temperature dependence of PQM order parameters, thermodynamic quantities related to the QCD equation of state, and ﬂuctuations of conserved charges at varying chemical potentials. The results show that non-extensive eﬀects have the most signiﬁcant deviations near the crossover region. The pseudo-critical temperature Tχ(µB) is not a universal constant and decreases with increasing non-extensive q parameter. The chiral phase diagram of the PQM model indicates a decrease in the behavior of the (Tχ - µB) plane with increasing non-extensive q parameter. The PQM model exhibits good qualitative agreement with lattice QCD calculations. Moreover, these ﬁndings suggest the existence of a Tsallis limit, which serves as an alternative to the Stefan-Boltzmann (SB) limit for the massless ideal gas. Overall, this study highlights the importance of non-extensive Tsallis statistics in characterizing the quark-hadron phase structure of the PQM model and contributes to a deeper understanding of non-extensive eﬀects in the quark-hadron phase transition.

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The gluonic halo of the nucleons

Trevisan

Mirez

Silva³

2019

J. Phys.: Conf. Ser.

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On the scope of the nonextensive statistical model for the nucleon’s structure function, we propose that gluons may occupy a bigger volume than the quarks, in nucleons. This correction is needed to fit the carry out momentum of each kind of particle. At the end of the work, we notice that the radius was not the only variable to be changed to get the goal of momentum adjustment and the another constraints.

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A Nonextensive Statistical Model for the Nucleon Structure Function

Cited by 4 publications

References 58 publications

On the Difference between the Radii of Gluons and Quarks

On the Difference between the Radii of Gluons and Quarks

Non-extensive effects on the QCD equation of state and fluctuations of conserved charges within Polyakov quark meson model

The gluonic halo of the nucleons

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