G行列理論に基づくバリオン-核間相互作用の導(dǎo)出2008/12/25RCNP

都留文科大學(xué)山本共同研究者古本櫻木（大阪市大）G-matrixinteractionを使うことの意味

核力に基づく理解核模型における有効相互作用核內(nèi)での核力の特徴がG-matrixを通して現(xiàn)れるたとえば、nuclearsaturationpropertydensity-dependenteffectiveinteractioncentral/LS/tensorcomponents

T=V+VPT=V+VPV+VPVPV+???LaddersumPに多體効果を入れるとTがGになる媒質(zhì)中での2體散亂ContinuouschoiceGapchoice+3-bodyclustertermsNuclearsaturationgivenbyvariousNNpotentials(G-matrixcalculations)GapchoiceContinuouschoiceRepulsivethree-bodyeffectinhigh-densityregionisnecessaryfornuclearsaturationE/Aで4～5MeVの差これは大きいBaldoetal.arXiv:astro-ph/03124464ρ0LOBT(C.C.)は高密度まで信頼できる!!!RoleofThree-BodyInteraction(TBA+TBR)isessentialforsaturationproblemLOBTwithcontinuouschoiceisreliableuptohighdensityG行列理論に基づくnuclearsaturationFornuclearsaturation,roleofTBFisindispensable!●Attractionatlowdensities●RepulsionathighdensitiesTypicallyFujita-MiyazawadiagramPhenomenologicalTBRbyIllinoisgroupforinstance

Derivationofeffectivetwo-bodypotentialfromTBF

byKasahara,AkaishiandTanakaTBAFujita-MiyazawadiagramTBRは実在する！Saturationcurve(incompressibility)に不可欠中性子星の最大質(zhì)量???その起源は?PurephenomenologicalMesonexchangediagramsRelativistic(Z-diagram)???PhenomenologicalmodelingofThree-BodyRepulsioninESC04Three-bodyforceduetotriple-mesoncorrelationReductionofmesonmassinmediumMV(ρ)=MVexp(-αρ)forvectormesonsMedium-InducedRepulsionUniversalamongNNN,NNY,NYY…NecessaryformaximummassofneutronstarTBATBRBaldoSimilarcurveisobtainedMaximum-massproblemofneutronstarsImportanceofuniversalTBRGはω

とkF

(Qを通じて）に依存するモデル化して有限系に適用（nuclear-matterG-matrix+LDA)例えばDensity-Dependentinteraction（ω-depをkF-depに吸収する）

散亂問題への応用ではG(r;kF,Ein)OMPderivedfromG-matrixinteractionωImaginarypartω-rearrangementincidentenergyOldcalculationbyKasahara-Akaishi-TanakaCEG83

FromCEG83toCEG07ModernNNinteractionmodelESCContinuouschoiceforintermediatespectraIncludingTBA(Fujita-Miyazawa)+TBRUptohigherpartialwavesonthebasisofsaturationmechanism16O+16OelasticscatteringE/A=70MeVT.Furumoto,Y.SakuragiandY.Yamamoto,(SubmittedtoPhys.Rev.Crapidcommunication)Effectofthree-bodyforce同じ処方箋でhyperon-nucleuspotentialを攻めてみようNijmegensoft-coremodels

(NSC89/97,ESC04/07)Originofcores

pomeron

ωmesonRepulsivecoresaresimilartoeachotherinallchannels

Tamagaki’sQuarkPauli-forbiddenstates?DifferentfromQuark-modelcoreハイパー核で領(lǐng)域Ⅲを見れるか？原子核現(xiàn)象を通じて核力の領(lǐng)域IIIの異なるmodelingを區(qū)別することはできなかったPS,S,V,AVnonetsPS-PSexchange(ππ),(πρ),(πω),(πη),(σσ)nottakenESC04modeling+(πK),(πK*)???strangenessexchangeESC07smallspin-orbitinteractionQuark-model-likecore∑-NucleuspotentialsU∑Intermediatestatesin(π,K)reactions∑-nucleusscattering?????Interestingproblems

repulsive?

isospin-dependencespin-orbitinteractionimaginaryparts(scattering&conversion)Arerepulsive∑-potentialsobtainedfromNijmegenmodels?No

(maybe)

standardNSC/ESCmodeling

inspiteofelaborateworksbyRijken

NHC-Fokbut…Importthefeatureofquarkmodel!21S0

23S1

41S0

43S1sumFss6.1-20.2-8.848.2+9.8fss26.7-23.9-9.241.2+7.5variousNijmegenModelsQM-basedmodelsK.Shimizu,S.TakeuchiandA.J.Buchmann,PTP,Suppl.137(2000)FeatureofQMcoreAlmostPauli-forbiddenstatesAdjustV[51Pauli-forbiddenstateexistinV[51]Assuming“equalparts”ofESCandQMaresimilartoeachotherAlmostPauli-forbiddenstatesin[51]aretakenintoaccountbychangingthepomeronstrengthsforthecorrespondingchannels

ESCcore=pomeron+ωgP

ｓｑｒｔ（2.5）gP

ESC07modelsRecentNijmegenapproach∑-nucleusfoldingpotentialderivedfromcomplexG-matrixG∑N(r;E,kF)InN-nucleusscatteringproblemphysicalobservablescanbereproducedwith“nofreeparameter”O(jiān)pticalpotentialIfm∑*>1thenU’∑<0EffectiveMassandE-dependenceofU∑withESC07relationU∑(real)cancelingが効くW∑には”２乗和”で効くWscattが大きい理由ESC07Pauli-forbiddenstatesImprovedLDAbyJLMPhys.Rev.C10(1974)1391simpleLDA:U(ρ(r),E)byMaekawa,atal.NW*UimagNW=0.65SameasNAcase

Ingeneral,G-matrixoverestimatesUimagasseeninN-nucleussystemsSummaryG-matrixmethod(nuclearmatterapproach)isverypowerfultodescribeN-nucleusandNucleus-nucleusscatteringobservablesstartingfr