第十一届全国核结构会议课件

第十三届核结构研讨会暨第九次“核结构与量子力学”专题讨论会内蒙古·赤峰2010年7月夸克核心的混合星及致密星第三家族特木尔巴根（南阳师范学院）第十三届核结构研讨会暨第九次“核结构与量子力学”专题讨论会内1IIntruductionIITheoryIIIThirdFamilyofCompactStarsIIntruduction2Introduction1.HistoryofNeutronStarsStudy2.ModelsforNeutronStar3.PresentsituationsforNeutronStarInvestication4.MotivationIntroduction1.HistoryofNeut3Intro.

--HistoryIn1932,Chadwickdiscovedneutron,andLandaupredictedneutronstarsimmediately

.In1934,Baade

and

ZwickyIn1939,Tolman-Oppenheimer-Volkoff(TOV)equations.In1967,HewishandBelldetectedthefirstpulsar,andknownasrotatingneutronstar.Intro.--HistoryIn1932,4Intro.—ModelsforNSIntro.—ModelsforNS5Intro.--TOVEquations

Oppenheimer-Volkoff(OV)方程：r→距星体中心的距离；p(r)→距中心为r处的压强；(r)→能量密度；M(r)→半径为r的球体内的物质的质量。

由物态方程p=p(),给定星的中心密度，由OV方程就可进行数值求解。Intro.--TOVEquationsOppenhe6Intro.–PresentSituationsforNSStudy1.Neutronstarwithhyperons(orwithkaoncondensation):

n,p,e,,

,,,,k-(-)2.Strange(quark)stars:

u,d,s，e3.Hybridstarswithquarkcore:

n,p,e,,

,,,,

u,d,s4.ThirdfamilyofcompactstarsIntro.–PresentSituationsfor7IITheories1HadronicPhase:RMFT2QuarkPhase:MITBagModel，NJLModel,M-D-Dquarkmodel,QMFM,EMQM,D-D-BintheframeworkofMITbagModel

3MixedPhase:Gibbscriterionforphaseequilibriumandglobalelectricchargeneutrality.IITheories1HadronicPhase:8Quarkmodels

1Effectivemassbagmodel(EMBM)K.SchertlerNuclear,C.GreinerPhysicsA616(1997)

2Nambu—Jona-Lasinio（NJL）ModelY.NambuandG.Jona-LasinioPhys.rev.122,124(1961)3Mass-density-dependentQuarkmodel(MDDQM)—

G.X.PengPhys.Rev.C62(025801)

4

Density-dependentbagconstantintheframewokofMITbagmodelQuarkmodels1Effectivemass9IIIHybridsarswithquarkcoreandthirdfamilyofcompactstars

Hadronphase：TM2parametersetsintheframeworkofRMFTTM1,TM2:Y.Sugahara,H.Toki,Relativisticmean-fieldtheoryorunstablenucleiwithnon-linearsigmaandomegaterms,Nucl.Phys.A579(1994)557-572

IIIHybridsarswithquarkco10ThermodynamicalPotencial

ThermodynamicalPotencial11FomulaeforquarkmodelsMass-density-denpendentquarkmodelEffectivemassquarkmodelNJLmodelQuarkcondensationFomulaeforquarkmodelsMass-d12Energydensityandpressure(EOS)Energydensityandpressure(E13EOS-IfBagParameterisDensityDependentEOS-IfBagParameterisDensit14FormulasformixedphaseGibbscriterionforphaseequilibriumChemicalpotencialssatisfyFormulasformixedphaseGibbs15Conservationofbaryonnumberdensity,globalelectricchargeneutralityandtotalenergydensityformixedphasewhereConservationofbaryonnumber16

Calculationalresults

1.GL85,TM2-D-D-BintheframeworkofbagmodelSubmittedtoEPJA,

ChinesePhysicsCVol.332.GL85-NJLModelHP&NP,2006,30(10)3.GL85-MDDQMHP&NP,2006,30(12)4.GL85,TM2-EMBMCommun.Theor.Phys.45(2006)5.GL85—SEBMEur.Phys.J.AVol.38,287-293(2008)Calculationalresults1.GL8517Density-dependentbagparameterDensity-dependentbagparamete18EnergyDensity/BaryonVersusTotalBaryonNumberDensity

EnergyDensity/BaryonVersus19SQMEOS

SQMEOS20HybridstarEOSHybridstarEOS21Mass-radiusrelationofSSMass-radiusrelationofSS22Mass-radiusrelationofhybridstars-ThirdfamilyofcompactstarsMass-radiusrelationofhybrid23PossibleExistenceofTFTM2+EMBMg=0—1.0TFPossibleExistenceofTFTM2+E24PossibleExistenceofTFTM2+EMBM,g=0,B1/4=175-180MeVPossibleExistenceofTFTM2+E25ConclusionsConclusions26结论(续)

以TM2为核物质状态方程的混合星质量-半径曲线中，口袋常数B1/4在175MeV-178MeV（g=0）之间或耦合常数在g=0-1(口袋常数B1/4=180MeV时)很小范围内存在TF。这些计算结果为观测具有相同质量而不同结构和半径的双星提供了理论依据。TF的存在亦是混合星内存在夸克相变的有力证据。

在有效质量口袋模型中,强耦合常数和口袋常数所起的作用在一定范围内相同.结论(续)以TM2为核物质状态方程的混合星质量-27第十一届全国核结构会议课件28第十一届全国核结构会议课件29第十一届全国核结构会议课件30第十一届全国核结构会议课件31第十一届全国核结构会议课件32第十一届全国核结构会议课件33ThankyourAttentions！

ThankyourAttentions！34第十三届核结构研讨会暨第九次“核结构与量子力学”专题讨论会内蒙古·赤峰2010年7月夸克核心的混合星及致密星第三家族特木尔巴根（南阳师范学院）第十三届核结构研讨会暨第九次“核结构与量子力学”专题讨论会内35IIntruductionIITheoryIIIThirdFamilyofCompactStarsIIntruduction36Introduction1.HistoryofNeutronStarsStudy2.ModelsforNeutronStar3.PresentsituationsforNeutronStarInvestication4.MotivationIntroduction1.HistoryofNeut37Intro.

--HistoryIn1932,Chadwickdiscovedneutron,andLandaupredictedneutronstarsimmediately

.In1934,Baade

and

ZwickyIn1939,Tolman-Oppenheimer-Volkoff(TOV)equations.In1967,HewishandBelldetectedthefirstpulsar,andknownasrotatingneutronstar.Intro.--HistoryIn1932,38Intro.—ModelsforNSIntro.—ModelsforNS39Intro.--TOVEquations

Oppenheimer-Volkoff(OV)方程：r→距星体中心的距离；p(r)→距中心为r处的压强；(r)→能量密度；M(r)→半径为r的球体内的物质的质量。

由物态方程p=p(),给定星的中心密度，由OV方程就可进行数值求解。Intro.--TOVEquationsOppenhe40Intro.–PresentSituationsforNSStudy1.Neutronstarwithhyperons(orwithkaoncondensation):

n,p,e,,

,,,,k-(-)2.Strange(quark)stars:

u,d,s，e3.Hybridstarswithquarkcore:

n,p,e,,

,,,,

u,d,s4.ThirdfamilyofcompactstarsIntro.–PresentSituationsfor41IITheories1HadronicPhase:RMFT2QuarkPhase:MITBagModel，NJLModel,M-D-Dquarkmodel,QMFM,EMQM,D-D-BintheframeworkofMITbagModel

3MixedPhase:Gibbscriterionforphaseequilibriumandglobalelectricchargeneutrality.IITheories1HadronicPhase:42Quarkmodels

1Effectivemassbagmodel(EMBM)K.SchertlerNuclear,C.GreinerPhysicsA616(1997)

2Nambu—Jona-Lasinio（NJL）ModelY.NambuandG.Jona-LasinioPhys.rev.122,124(1961)3Mass-density-dependentQuarkmodel(MDDQM)—

G.X.PengPhys.Rev.C62(025801)

4

Density-dependentbagconstantintheframewokofMITbagmodelQuarkmodels1Effectivemass43IIIHybridsarswithquarkcoreandthirdfamilyofcompactstars

Hadronphase：TM2parametersetsintheframeworkofRMFTTM1,TM2:Y.Sugahara,H.Toki,Relativisticmean-fieldtheoryorunstablenucleiwithnon-linearsigmaandomegaterms,Nucl.Phys.A579(1994)557-572

IIIHybridsarswithquarkco44ThermodynamicalPotencial

ThermodynamicalPotencial45FomulaeforquarkmodelsMass-density-denpendentquarkmodelEffectivemassquarkmodelNJLmodelQuarkcondensationFomulaeforquarkmodelsMass-d46Energydensityandpressure(EOS)Energydensityandpressure(E47EOS-IfBagParameterisDensityDependentEOS-IfBagParameterisDensit48FormulasformixedphaseGibbscriterionforphaseequilibriumChemicalpotencialssatisfyFormulasformixedphaseGibbs49Conservationofbaryonnumberdensity,globalelectricchargeneutralityandtotalenergydensityformixedphasewhereConservationofbaryonnumber50

Calculationalresults

1.GL85,TM2-D-D-BintheframeworkofbagmodelSubmittedtoEPJA,

ChinesePhysicsCVol.332.GL85-NJLModelHP&NP,2006,30(10)3.GL85-MDDQMHP&NP,2006,30(12)4.GL85,TM2-EMBMCommun.Theor.Phys.45(2006)5.GL85—SEBMEur.Phys.J.AVol.38,287-293(2008)Calculationalresults1.GL8551Density-dependentbagparameterDensity-dependentbagparamete52EnergyDensity/BaryonVersusTotalBaryonNumberDensity

Energ