psd殼層滴線核性質(zhì)的殼模型研究

-----豐質(zhì)子核的結(jié)構(gòu)輕核的組態(tài)問題(17Ne為例)唯象計算可能的微觀研究11Be,14B,17C,19Cetc.Exoticphenomenainpsdshellnuclei6He,11Li,14Be,17Betc.Commonfeatures:LooselyBoundsorpwavevalencenucleonsH.Simonetal,PRL83,496(1999)11LiProtonhalo?8B(1p1/2,ε=138keV):probablynot17F*(2s1/2,,ε=105keV):yes17Ne(ε2p=940keV):unknown

configuration:unknown

M.Chromiketal,PRC66,024313(2002)17Ne:dependentontheconfigurationofthevalenceprotonpairL.V.Grigorenko,PRC71,051604(R)(2005)Shellmodelcalculationsmaybehelpful…Shell-modeldescription:

Heff=PHP+PHΩQP:modelspace(psdshell)Q:excludedspace(1s+fp+…)Ω

:waveoperatorRealisticHamiltonian

MK,WBTMicroscopicHamiltonian

CD-Bonn...+UnitarytransformationProblemsofthemicroscopicapproach:Modelspacewithacore(withcorepolarizationeffect):

numericallynotfeasiblefornon-degeneratesystemsNocoreshellmodel(noholestate):

dependentonhωandthespace;

convergenceproblemProblemsoftherealisticHamiltonian:Constructedfromstablenuclei

stillvalidfordriplinenuclei?Truncations(0+1hωforMK)

effectofintruderstatesbecomingimportantatdriplineS.Shimouraetal,PLB654,87(2007)IntruderH.Simonetal,PRL83,496(1999)11Li3)Sensitivetoeffectiveoperators

4)Shellgap?5)ChargebreakingeffectIsospinsymmetry(mirrorsymmetry)Breakingeffect2s1/2onebodyTwobodyImprovedrealisticHamlitonian(WB*)WBT(forpp＋p-sd)+USDB(forsd);Reducedshellgaptofitlow-lyingstatesof13C-13N

;Chargebreakingeffect;

Coulomb+CSBstrongforce(fromCD-Bonn)+Thomas-EhrmanshiftRenormalizationeffectofhω

-nonconservinginteraction

e.g.,pp-sdCOMcorrection(themethodofLawson)13CConstructionofthemany-bodyHamiltion;Lanczosdiagonalization->Furtherapplications?Calculation(1)

WB*in0-3hωpsdspaceWBTandMKin0+1hωpsdspaceParallelshell-modelcode+PKUclusterMK:WBT:Calculations(2)ImprovedperformanceforEMpropertiesCalculations(3)17Ne15OSpectraldescriptionnotsogood

(effectofhω

-nonconservinginteraction?)ExperimentCalculations(4)Configurationsofthevalenceprotonpairin17Ne:

sensitivetotheThomas-Ehrmanshift!!3/2-g.s.beta-decayanalysis:thestateshouldhave50%more1s1/2componentthanthatof17N.D.J.Millener,PRC,55,R1633(1997).Calculations(5)Furthercharge-breakingeffect?UNDERSTOODUNDERSTOODK.I.Hahnetal,PRC54,1999(1996)3+?3+WB*CriticalroleplayedbytheCSBeffectTTSKuo,PRL78(2708)1997KOgawa,PLB464(157)1999Origins?Summarypsdshellmodelcalculationson17Ne;TheThomas-Ehrmanshiftcanenhancethe1s^2componentofthevalenceprotonpair;AnexamplewithstrongCoulombeffectontheconfiguration;MicroscopicoriginoftheThomas-EhrmanshiftandtheCSBeffect?TTSKuo,PRL78(2708)1997KOgawa,PLB464(157)1999知其所以然？No-coreshellmodel

Lee-Suzukitransformation

totheshellmodelbasis

(noholestate)T.Dytrychetal,PRL,98,162503(2007)

0hω+2hωcorrection2hωTwostepunitarytransformation?Corenucleons+valencenucleons+2hωcorection

Core:noholestate+meanfieldpotentialforthesingleparticleenergy?0+22hω:toheaviernuclei?

Step:

1)Unitaryt