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1 08 IJSRST Volme 4 Isse 8 Prt ISSN: Ole ISSN: X Themed Secto: Scece ad Techoloy Netro Asymmetry ad Flavor Decomposto of Up ad Dow arks Us Thermodyamcs Ba Model K. Gaesamrthy*, K. Paled, C. Ramesh PG ad Research Departmet of Physcs, Urm Dhaalakshm Collee, Trchy, Taml Nad, Ida ABSTRACT Netro asymmetry, flavor decomposto of p ad dow ark are evalated as a fcto of Bjorke varable the kematc reo of at 3.67( GeV / c wth CD correcto ad taret mass effect s Thermodyamcal Ba Model(. Or reslts of has ero cross mere 0.5. We observed that the decomposto of p ark s postve dstrbto ad the decomposto of dow ark s eatve dstrbto. Theoretcal reslts of epermetal data. Keywords: DIS, Flavor decomposto, Netro asymmetry, ad flavor decomposto are ood areemet wth I. INTRODUCTION kematc reo 0.. I ths kematc reo, Over two decades ao, EMC dscovered [-] that the fracto of the proto sp s carred by costtet ark ad t was sffcet determato. These reslts cased mch ectemet to vestate the sp strctre of the cleo as measred by polared lepto-cleo deep elastc scatter[3-5]. Bt stll or of the cleo sp has bee ope ple. I valece arks more domated over sea arks ad los ad rato of strctre fctos ca be calclated based o or model calclato. A accrate kowlede of polared Parto Dstrbto Fctos(PDFs o broad vales s eeded to dedce the certaty wth whch the frst measremet of polared dstrbto ad strctre relatvstc ark model, the ark sp cotrbtes 75% fcto ca be determed. Here we f the for of the proto sp ad rema porto 5% sp s mometm trasfer correspod to the from ther orbtal alar mometm ad lo epermetal data[8] to evalate the etro sp[6-7]. The cleo sp sm rle ca be wrtte as asymmetry ad flavor decomposto. N S Z SZ LZ J Z ( Thermodyamcal Ba Model: Where S s cleo total sp, S ad L are the N ark sp ad orbtal alar mometm respectvely ad J s the total alar mometm of los. Accord to sp sm rles, oly 0-30% of the cleo sp s carred by ark ad rema porto s carred by ark ad lo orbtal alar mometm ad lo sp. The possble cotrbto of orbtal alar mometm s der the vestato. I the preset work, we cocetrate the lare Thermodyamcal Ba Model ( frst developed by Gaesamrthy et.al[9-3] cosder the cleo to be the Ifte Mometm Frame (IMF, where the arks ad los are treated as fermos ad bosos respectvely. The varat mass(w of the fal hadro s ve by ( T V BV W M M ( Where ε(t s the eery desty of the system at a temperatre T, V s the volme of ba, B s the ba IJSRST8487 Receved : 0 May 08 Accepted : 08 May 08 May-Je-08 [ 4 (8 : -6]
2 K. Gaesamrthy et al. It J S Res Sc. Tech. 08 May-Je;4(8 : -6 costat, W s the varat mass of ected cleo at T, s the eery trasfer, s sare of for mometm trasfer, M s the mass of the cleo at rod state. The total eery desty ε(t of the ba ca be wrtte by the sm of eery destes of arks ad lo s ve by ( T d ( d ( d (3 Where d= 6 ad d=6 deotes the deeeracy of arks ad lo orderly. The pressre balace codto ad eery mmato codto wth respect to the cleo volme take to cosderato. The varat mass s obtaed by cosder the eery trasfer to the cleo reslts heat p the costtets of the cleo. The temperatre ad two chemcal potetals are ot free parameters rather they are evalated accordace wth ad ether wth fed or wth fed. At very low,.e. as teds to ero, temperatre of the ba T also teds to ero ad oly the valece arks are domated. Whe T 0MeV, the varat mass s eal to the mass of the cleo at rest. As creases, temperatre of the ba creases ad tr more ad more sea arks ad los are prodced. The statstcal Parto Dstrbto Fctos are epressed as 6V (, M 4 (4 6V (, M 4 (5 d d M T l ep T T M T l ep T T s the chemcal potetal of ark wth the flavor. Here deotes ether or d ark. I order to relate the PDF s wth CD, whch s ark lo copl parameter, we trodce the stro ark lo copl costat. The epermetal ft cold be made by cosder oly wth the CD correctos. The ark ad at-ark dstrbtos are modfed by cld CD parameters as, (, (7 (, (6 s( (, s( (, The stro r copl costat ( s for varos s evalated s the Net to Lead Order (NLO solto. (8 4 s( l( / I order to accot for heavy ark threshold correcto ad taret mass sbsttto of s made wth. 0 4M effect toether, a (( m s / / (9 ( m s / ms s the mass of the strae ark. Here we assme strae ark mass as 00MeV ad = 300MeV. CD Theoretcal evalato of etro asymmetry: The strctre fcto F ad F are related by Callo- Gross relato[4], (0 F ( F e I ths relato, strctre fctos deped oly o. Ths meas that the lepto scatters o partcles whch do ot volve ay scale.e. o pot-lke partcles. The fact that the strctre fcto deed do ot deped o, the so called scatter dscovered at SLAC [5] was the epermetal valdato of the parto model. The polared strctre fcto of proto ad etro are evalated wth the clso Iteratoal Joral of Scetfc Research Scece ad Techoloy ( 3
3 K. Gaesamrthy et al. It J S Res Sc. Tech. 08 May-Je;4(8 : -6 of p ad dow at-arks wth arks. The sp depedet strctre fcto of proto ad etro Flavor decomposto: ark-parto model assmes that the strae ark are ve by dstrbto s elected above = 0.3 ad also 4 p elect ay depedece the rato strctre 0.5 d ( 9 9 fcto. The evalato of p ark polarato d ( whch s close areemet wth RCM 9 9 ad pcd calclatos. Or evalato of d d 3 Where, d are the sp dstrbto fcto as whle pcd model predctos ve of p ad dow ark wth at-arks ve by d d. d d evalato s ood areemet wth SU(6, RCM ad NNPDF epermetal reslts. The ( ( ( ( d( d ( cos 3 p ark polarato s postve ad dow ark (3 polarato s eatve the etre evalated d ( d( d ( cos (4 3 Where cos (5 H0 ( s kow as the sp dlto factor[6]. Sce the sp dlto factor s derved from frst prcples t s adjsted to satsfy the Bjorke sm rle whch s cosdered as the fdametal test of CD. Ths eables to determe the valece ark dstrbto eplcty. Here H0 s a free parameter chose as 0.09 to satsfy the Bjorke sm rle. Netro asymmetry s epressed by the rato betwee sp depedet strctre fcto ad polared strctre fcto of etro. Sce ad F are evalated at same lead order CD. epected to vary slowly wth. (, A (, (6 F (, s reo. No relatvstc ark model predcted the etro asymmetry symmetry. = 0 as o the bass of SU(6 s more postve at lare de to postve polarato of p ad dow arks. I pertrbatve CD, s epected to ty as. I ths kematc reo, the cotrbto of both sea ad lo are small ad we stdy the cotrbto of valece arks ad ther orbtal alar mometm to the cleo sp. Relatvstc costtet ark model also predcted = as. I the preset work, the valece arks are domated at lare reo ad asymmetry of etro s epected to ty as. Iteratoal Joral of Scetfc Research Scece ad Techoloy ( 4
4 K. Gaesamrthy et al. It J S Res Sc. Tech. 08 May-Je;4(8 : -6 Table. Theoretcal evalato of /, d / d ad SU(6 at 4GeV calclatos ve the follow table. are compared wth several model RCM[8] pcd[0] NNPDF[] symmetry[7] / /3-0.07± d /d -/3 -/3-0.9± ±0.3 II. RESULTS AND DISCUSSION I the preset work, the etro asymmetry ad flavor decomposto of p ad dow ark polarato are calclated s ark dstrbto. of s cosstet wth Relatvstc Costtet ark Model(RCM ad Pertrbatve amtm Chromo Dyamcs(pCD models predcto whch are sest that lare. becomes creasly postve at Fre. Asymmetry of as a fcto of at a averae 3.67( GeV / c. Preset reslts are compared wth epermetal data [8]. Fre shows that the etro asymmetry as a fcto of Bjorke varable ad sared for mometm trasfer. Netro asymmetry has eatve dstrbto p to = Ths s de to fact that the p ark dstrbto s very close to the dow ark dstrbto ad more ad more sea arks ad los are prodced that reo whch s the atral coseece of ths model. s ero cross at = ad above ths vale, etro asymmetry becomes postve dstrbto whch s de to fact that mometm carred by the p ark s more tha that of dow ark. The evalated reslts Fre. Decomposto of p ark polarato as a fcto of at a averae 3.67( GeV / c. Preset reslts are compared wth Jlab epermetal data[8]. d d dd Fre 3. Decomposto of dow ark polarato as a fcto of at a averae 3.67( GeV / c. Iteratoal Joral of Scetfc Research Scece ad Techoloy ( 5
5 K. Gaesamrthy et al. It J S Res Sc. Tech. 08 May-Je;4(8 : -6 Preset reslts are compared wth Jlab epermetal data[8]. The flavor decomposto of p ad dow ark polaratos as a fcto of have bee stded s ad are show fre ad 3 respectvely. The p ark decomposto polarato creases wth creas whole evalated reo. Up to = 0.53, theoretcal reslt of p ark flavor decomposto polarato devates wth epermetal data. Ths s de to the polared p ark dstrbto s more tha the polared p ark dstrbto. Above = 0.54, polared p ark ad polared ark dstrbto are merely eal. The dow ark decomposto polarato s decreas wth ad t s eatve dstrbto. I clsve deep elastc scatter, oly a fracto of the cleo sp ca be attrbted to the ark sps ad the strae ark sea seems to be eatvely polared. Bt the case of sem-clsve polared deep elastc scatter process sp cotrbto of ark ad atark flavor to the total sp of the cleo ca be determed as a fcto of. The evalated reslts show ood areemet wth epermetal data the moderate reo. []. V.Devaatha, S.Karthyaya, K.Gaesamrthy,Mod.Phys.LettA9( []. V.Devaatha,J.S.MaCarthy,Mod.Phys.Lett.A ( [3]. F.Taka, Z.PhysC 37( [4]. C.G.Callo, D.J.Gross, Phys.Rev.Lett( [5]. M.Bredebach, et al, Phys.Rev.Lett 3( [6]. R.Carlt, J.Kar, Phys.Rev.Lett.38( [7]. F.Close, Ncl.Phys.B 80( [8]. N.Isr, Phys.Rev.D 59( [9]. G.R.Farrar, D.R.Jackso, Phys.Rev.Lett35( [0]. E.RNocera, et al., Ncl.PhysB 887(0476. III. REFERENCES []. J.Ashma, et al., Phys.LettB 06( []. J.Ashma, et al., Ncl.PhysB 38(989. [3]. P.L.Athoy, et al., Phys.Rev.D 54( [4]. K.Abe, et al., Phys.RevD 58( [5]. Arapeta, et al., Phys.Rev.D 7( [6]. Z.Dembowslw, C.J.Martoff ad P.Zyla, Phys.Rev.D 50( [7]. B..Ma, Phys.Lett.B 375( [8]. D.Flay, Phys.Rev 94( [9]. K.Gaesamrthy, V.Devaatha, M.Rajasekara, Z.PhysC 5( [0]. K.Gaesamrthy, C.Harhara, Mod.Phys.Lett.A 9(38( Iteratoal Joral of Scetfc Research Scece ad Techoloy ( 6
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