Quark sea structure functions of the nucleon in a statistical model

Trevisan, Luis A.; Mirez, Carlos; Frederico, T.; Tomio, Lauro

doi:10.1140/epjc/s10052-008-0651-1

Cited by 27 publications

(40 citation statements)

References 54 publications

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“…The models of [2] and [3], together with a Feynman's suggestion, have been considered in a further development of a statistical quark model for the nucleon, as given in [5,6,7], where the aim was to describe the nucleon structure function and the sea-quark asymmetry, by considering a density of quark levels generated by a central confining interaction.…”

Section: Introductionmentioning

confidence: 99%

“…In the model of [5,6,7], to generate the quark energy levels and the corresponding wave functions, it was considered the relativistic linear confining potential proposed by AIP CREDIT LINE (BELOW) TO BE INSERTED ON THE FIRST PAGE OF EACH PAPER CP1296, XI Hadron Physics edited by M. Nielsen, F. S. Navarra, and M. E. BraccoFerreira et al [ 8],w here thew ave-functiona re giveni nc oordinate space. Next,i tw as performed aFouriertransformationofthe functions to themomentumspace, in orderto derive theobservablesfor thequarksinside thenucleon, whichare givenintermsofthe momentum fraction x.Inthisapproach,oncethe energy levels are givenbyarelativistic quark potentialm odel, at emperaturep arameter T is adjustedt oo btaint he violationo f theGottfried sum rule [9].…”

Section: Introductionmentioning

confidence: 99%

“…Next,i tw as performed aFouriertransformationofthe functions to themomentumspace, in orderto derive theobservablesfor thequarksinside thenucleon, whichare givenintermsofthe momentum fraction x.Inthisapproach,oncethe energy levels are givenbyarelativistic quark potentialm odel, at emperaturep arameter T is adjustedt oo btaint he violationo f theGottfried sum rule [9]. Twoother parameters,the chemical potentials, are considered to obtainthe normalizationofthe up anddownvalence quarksinthe nucleon (protonand neutron).A mong then ucleon observables, obtainedw ithin them odelo f [ 6],w er eport here recenti mprovementsfor ther atiosa nd differences between thes tructure functions of thep rotona nd then eutron, givenb yF n 2 / F p 2 and F p 2 − F n 2 ,r espectively. Such model results, as it will be shown,are in good agreementw ith thea vailableexperimental data.…”

Section: Introductionmentioning

confidence: 99%

“…Fort he sea-quark asymmetryoft he nucleon, it wasa lso derivedw ithin thes tatistical modelof [6] theanti-down andanti-up quark functions,d −ū andd/ū,which are shown as functions of themomentumfraction x.…”

Section: Introductionmentioning

confidence: 99%

“…Next,weo utlinethe models of Cleymans-Thews andM ac-Ugaz, within ad iscussion on thea pproach developedi n [ 5,6],f ollowedb yr ecentm odelr esults on then eutron andprotonstructure functions, givenbyF n 2 /F p 2 and F p 2 − F n 2 ,which are beingcompared with availableexperimental results.…”

Section: Introductionmentioning

confidence: 99%

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Statistical quark models for the nucleon structure functions

Mirez¹,

Tomio²,

Nielsen³

et al. 2010

AIP Conference Proceedings

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Abstract. We consider some existingrelativistic modelsfor thenucleon structurefunctions,relying on statistical approaches instead of perturbative ones. Thesem odels areb ased on theF ermi-Dirac distributionf or thec onfinedq uarks, whereadensity of energy levels is obtainedf roma ne ffective confining potential. In this context, it is presenteds ome results obtainedw ith ar ecents tatistical quark modelf or thes ea-quark asymmetry in then ucleon. It is shown, within this model,t hat experimental availableo bservables,s ucha st he ratio andd ifferenceb etween proton andn eutron structuref unctions,a re quite well reproduced with just threep arameters: twoc hemical potentials used to reproducethe valenceupand down quark numbers in thenucleon, andatemperature that is beingusedtor eproducethe Gottfried sumruleviolation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Statistical quark models for the nucleon structure functions

Mirez¹,

Tomio²,

Nielsen³

et al. 2010

AIP Conference Proceedings

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Nuclear EMC effect in a statistical model

Zhang

Shao

2009

Nuclear Physics A

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A simple statistical model in terms of light-front kinematic variables is used to explain the nuclear EMC effect in the range x ∈ [0.2, 0.7], which was constructed by us previously to calculate the parton distribution functions (PDFs) of the nucleon.Here, we treat the temperature T as a parameter of the atomic number A, and get reasonable results in agreement with the experimental data. Our results show that the larger A, the lower T thus the bigger volume V , and these features are consistent with other models. Moreover, we give the predictions of the quark distribution ratios, i.e., q A (x)/q D (x),q A (x)/q D (x), and s A (x)/s D (x), and also the gluon ratio g A (x)/g D (x) for iron as an example. The predictions are different from those by other models, thus experiments aiming at measuring the parton ratios of antiquarks, strange quarks, and gluons can provide a discrimination of different models.

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