&HIRFLAnnualReport
·25·
Fig.1(coloronline)ConceptualdesignforEicCdetector.Thecentraldetectorwillbeplacedintheinteractionpoint,whilethefar-forwarddetectorswillbeplacedfarfromtheinteractionpointtocovertheverysmallangleregion.
Reference
[1]
T.Sjostr,
S.Mrenna,
P.Z.Skands,JHEP0605,026(2006),arXiv:hep-ph/0603175. ∗Foundationitem:KeyResearchProgramofChineseAcademyofSciences(Y832020YRC,XDPB09) 2-10LightMesonPDFsfromBLFQandQCDEvolution∗ LanJiangshan,MondalChandan,XuSiqiandZhaoXingboThebasislightfrontquantization(BLFQ)isanonperturbativeapproachforthelightfrontwavefunctions(LFWFs)andthespectroscopyofthemanybodybound-statesystemsinquantumfieldtheories[1−3].ItisaHamiltonian-basedformalismwiththeadvantagesoflightfrontdynamics[4].TheLFWFsoftheboundstatesareobtainedastheeigenfunctionsofthelightfrontSchr¨odingerequationHeff|Ψ⟩=M2|Ψ⟩,whereHeffistheeffectiveHamiltonianofthesystem.Westudythepartondistributionfunctions(PDFs)ofthepionandthekaonusingtheframeworkofBLFQ.Attheinitialscalethemesonsaredescribedbyaquarkandantiquarkpair.Forthelightmeson,weadoptthelightfronteffectiveHamiltonianHeffconsistingoftheholographicQCDconfinementpotential,thelongitudinalconfinement,andthecolorsingletNambu–Jona-Lasinio(NJL)interactions[5].Weobtainthepionandthekaon Fig.1(coloronline)left:TheratiooftheuquarkPDFinthekaontothatinthepion.Thegrayerror-bandcorrespondstothesumofrelativeerrorsduetotheQCDevolutionfromtheinitialscaleµ20=(0.21±0.02)GeV2inboththepionandthekaonPDFsastherelativeerrorforthisratio.ThedataaretakenfromtheCERN-NA3experiment[6].ResultsparedwiththeNLOGRSmodel[7]andtheBethe-Salpeterequation(BSE)approach[8].Right:dσ/dmfortheπ−-nucleusDY processasafunctionofm.ThedataaretakenfromRefs.[9,12] ·26· IMP&HIRFLAnnualReport 2018 PDFsfromtheoverlapoftheeigenstates|Ψ⟩ofHeffintheconstituentquark-antiquarkrepresentationsuitableforlow-momentumscaleapplications. AfterQCDevolution,theratiooftheupquarkdistributionofthekaontothatofthepionisshowninFig.1(left).WeobservethattheBLFQresultisconsistentwiththeexperimentaldatafromtheCERN-NA3experimentaswellaswithotherphenomenologicalmodels. Thekinematicsofthepion-nucleusinducedDYprocessaredescribedbytheinvariantmassoftheproducedleptonpairm,centerofmassenergysquaresofthecollidingsystems,theFeynmanvariablexF=x1−x2(differenceofthelightfrontmomentaoftheannihilatingquarkandantiquark).Supplementedbytheknownpartondistributionfunctionsforthenucleonsfrom“MSTW2008”[13],wefurtherobtainthecrosssectionfortheσ−Nucleus→µ+µ−XDrell-Yanprocess.InFig.1(right),weillustratethecrosssectiondσ/dmasafunctionofmparewithvariousexperiments.Fig.1showsthattheBLFQresultsisinreasonableagreementwithexperiments.ThesefavorableresultsconfirmtherobustcharacterofourmodelwhichincludesQCDevolution,motivatingtheapplicationofanalogouseffectiveHamiltonianstothebaryonswithsubsequentscaleevolution. Wealsoinvestigateseveralaspectsofthenucleonpropertiessuchasicformfactors,PDFs,generalizedpartondistributions(GPDs),etc.usingtheframeworkofBLFQ.WeconsiderthelightfrontwavefunctionsobtainedbydiagonalizingtheeffectiveHamiltonianconsistingoftheholographicQCDconfinementpotential,thelongitudinalconfinement,andaone-gluonexchangeinteractionwithfixedcoupling.Wefoundthattheelasticformfactorsforthenucleonareinmoreorlessagreementwiththeavailableexperimentaldata.FortheGPDsourresultsparablewithphenomenologicalmodelssuchasAdS/QCD,quark-diquarkmodel. Reference [1]
J.P.Vary,
H.Honkanen,
J.Li,etal.,Phys.Rev.C,81(2010)035205.[2]
P.Wiecki,
Y.Li,
X.Zhao,
P.Maris,etal.,Phys.Rev.D,91(2015)105009.[3]
Y.Li,
P.Maris,
X.Zhao,etal.,Phys.Lett.B,758(2016)118.[4]
S.J.Brodsky,
H.C.Pauli,
S.S.Pinsky,Phys.Rept,301(1998)299.[5]
J.Lan,
C.Mondal,
S.Jia,etal.,(2019),arXiv:1901.11430[nucl-th].[6]
J.Badier,(NA3),
Z.Phys.C,18(1983)281.[7]
M.Gluck,
E.Reya,
M.Stratmann,Eur.Phys.J.C,2(1998)159[8]
T.Nguyen,
A.Bashir,
C.D.Roberts,etal.,Phys.Rev.C,83(2011)062201.[9]
W.J.Stirling,
M.R.Whalley,
J.Phys.G,19(1993)D1.[10]
H.B.Greenlee,Phys.Rev.Lett,55(1985)1555.[11]
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A.D.Martin,
W.J.Stirling,
R.S.Thorne,etal.,Eur.Phys.J.C,63(2009)189. ∗Foundationitem:CMissupportedbytheChinaPostdoctoralScienceFoundation(2017M623279)andNationalNaturalScienceFoundationofChina(11850410436).ThisworkofXZissupportedbynewfacultystartupfundingbyInstituteofModernPhysics,ChineseAcademyofSciences(Y632030YRC)
T.Sjostr,
S.Mrenna,
P.Z.Skands,JHEP0605,026(2006),arXiv:hep-ph/0603175. ∗Foundationitem:KeyResearchProgramofChineseAcademyofSciences(Y832020YRC,XDPB09) 2-10LightMesonPDFsfromBLFQandQCDEvolution∗ LanJiangshan,MondalChandan,XuSiqiandZhaoXingboThebasislightfrontquantization(BLFQ)isanonperturbativeapproachforthelightfrontwavefunctions(LFWFs)andthespectroscopyofthemanybodybound-statesystemsinquantumfieldtheories[1−3].ItisaHamiltonian-basedformalismwiththeadvantagesoflightfrontdynamics[4].TheLFWFsoftheboundstatesareobtainedastheeigenfunctionsofthelightfrontSchr¨odingerequationHeff|Ψ⟩=M2|Ψ⟩,whereHeffistheeffectiveHamiltonianofthesystem.Westudythepartondistributionfunctions(PDFs)ofthepionandthekaonusingtheframeworkofBLFQ.Attheinitialscalethemesonsaredescribedbyaquarkandantiquarkpair.Forthelightmeson,weadoptthelightfronteffectiveHamiltonianHeffconsistingoftheholographicQCDconfinementpotential,thelongitudinalconfinement,andthecolorsingletNambu–Jona-Lasinio(NJL)interactions[5].Weobtainthepionandthekaon Fig.1(coloronline)left:TheratiooftheuquarkPDFinthekaontothatinthepion.Thegrayerror-bandcorrespondstothesumofrelativeerrorsduetotheQCDevolutionfromtheinitialscaleµ20=(0.21±0.02)GeV2inboththepionandthekaonPDFsastherelativeerrorforthisratio.ThedataaretakenfromtheCERN-NA3experiment[6].ResultsparedwiththeNLOGRSmodel[7]andtheBethe-Salpeterequation(BSE)approach[8].Right:dσ/dmfortheπ−-nucleusDY processasafunctionofm.ThedataaretakenfromRefs.[9,12] ·26· IMP&HIRFLAnnualReport 2018 PDFsfromtheoverlapoftheeigenstates|Ψ⟩ofHeffintheconstituentquark-antiquarkrepresentationsuitableforlow-momentumscaleapplications. AfterQCDevolution,theratiooftheupquarkdistributionofthekaontothatofthepionisshowninFig.1(left).WeobservethattheBLFQresultisconsistentwiththeexperimentaldatafromtheCERN-NA3experimentaswellaswithotherphenomenologicalmodels. Thekinematicsofthepion-nucleusinducedDYprocessaredescribedbytheinvariantmassoftheproducedleptonpairm,centerofmassenergysquaresofthecollidingsystems,theFeynmanvariablexF=x1−x2(differenceofthelightfrontmomentaoftheannihilatingquarkandantiquark).Supplementedbytheknownpartondistributionfunctionsforthenucleonsfrom“MSTW2008”[13],wefurtherobtainthecrosssectionfortheσ−Nucleus→µ+µ−XDrell-Yanprocess.InFig.1(right),weillustratethecrosssectiondσ/dmasafunctionofmparewithvariousexperiments.Fig.1showsthattheBLFQresultsisinreasonableagreementwithexperiments.ThesefavorableresultsconfirmtherobustcharacterofourmodelwhichincludesQCDevolution,motivatingtheapplicationofanalogouseffectiveHamiltonianstothebaryonswithsubsequentscaleevolution. Wealsoinvestigateseveralaspectsofthenucleonpropertiessuchasicformfactors,PDFs,generalizedpartondistributions(GPDs),etc.usingtheframeworkofBLFQ.WeconsiderthelightfrontwavefunctionsobtainedbydiagonalizingtheeffectiveHamiltonianconsistingoftheholographicQCDconfinementpotential,thelongitudinalconfinement,andaone-gluonexchangeinteractionwithfixedcoupling.Wefoundthattheelasticformfactorsforthenucleonareinmoreorlessagreementwiththeavailableexperimentaldata.FortheGPDsourresultsparablewithphenomenologicalmodelssuchasAdS/QCD,quark-diquarkmodel. Reference [1]
J.P.Vary,
H.Honkanen,
J.Li,etal.,Phys.Rev.C,81(2010)035205.[2]
P.Wiecki,
Y.Li,
X.Zhao,
P.Maris,etal.,Phys.Rev.D,91(2015)105009.[3]
Y.Li,
P.Maris,
X.Zhao,etal.,Phys.Lett.B,758(2016)118.[4]
S.J.Brodsky,
H.C.Pauli,
S.S.Pinsky,Phys.Rept,301(1998)299.[5]
J.Lan,
C.Mondal,
S.Jia,etal.,(2019),arXiv:1901.11430[nucl-th].[6]
J.Badier,(NA3),
Z.Phys.C,18(1983)281.[7]
M.Gluck,
E.Reya,
M.Stratmann,Eur.Phys.J.C,2(1998)159[8]
T.Nguyen,
A.Bashir,
C.D.Roberts,etal.,Phys.Rev.C,83(2011)062201.[9]
W.J.Stirling,
M.R.Whalley,
J.Phys.G,19(1993)D1.[10]
H.B.Greenlee,Phys.Rev.Lett,55(1985)1555.[11]
K.J.Anderson,Phys.Rev.Lett,42(1979)944.[12]
M.Corden,Phys.Lett,B,96(1980)417.[13]
A.D.Martin,
W.J.Stirling,
R.S.Thorne,etal.,Eur.Phys.J.C,63(2009)189. ∗Foundationitem:CMissupportedbytheChinaPostdoctoralScienceFoundation(2017M623279)andNationalNaturalScienceFoundationofChina(11850410436).ThisworkofXZissupportedbynewfacultystartupfundingbyInstituteofModernPhysics,ChineseAcademyofSciences(Y632030YRC)
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