Strangeness content and structure function of the nucleon in a statistical quark model

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

doi:10.1007/s100529900162

Cited by 16 publications

(14 citation statements)

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“…[ 6], whichi sb eing deriveda se xtension of the above models. The modelc onsidered in [6] waspreviouslyoutlined in [5], where thestrangeness contentofthe nucleon wasderived. In thep henomenological statistical modelp resentedi n [ 5] it wasc onsidered linear confinedq uarkst oo btainthe flavora symmetryint he seao ft he nucleon.…”

Section: Then Ucleonstructure Functionwithint He Stat Istical Modelmentioning

confidence: 99%

“…The modelc onsidered in [6] waspreviouslyoutlined in [5], where thestrangeness contentofthe nucleon wasderived. In thep henomenological statistical modelp resentedi n [ 5] it wasc onsidered linear confinedq uarkst oo btainthe flavora symmetryint he seao ft he nucleon. Twod ifferent chemical potentials are required to describe then ucleon, whichfi xest he valenceq uark normalizations in thep rotona nd neutron.…”

Section: Then Ucleonstructure Functionwithint He Stat Istical Modelmentioning

confidence: 99%

“…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,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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