RHIC物理与低能强子物理讨论会.pptx

单击此处编辑母版标题样式,单击此处编辑母版文本样式,第二级,第三级,第四级,第五级,#,Isospin Dependence of ROMP&Nucleon Effective Mass,RHIC,物理与低能强子物理讨论会,山东威海,2004,年,8,月,4,日,7,日,马中玉,中国原子能科学研究院,合作者：荣健 陈宝秋 朱志远 宋宏秋,Contents,Introduction,Isospin dep.of effective int.,Relativistic optical model potential,Scattering from exotic nuclei,Isospin dependence of effective mass,Summery,Introduction,Importance of isospin dependence in many aspects:,exotic nuclei;astrophysics;heavy ion collision etc.,Isospin dependence of quantities,asymmetric energy as function density,effective interaction,effective mass etc.,Less knowledge from experiments,Study from a fundamental theory,DBHF approach,Relativistic approaches,NN+DBHF,Success in NM saturation,properties,DBHF G Matrix -,Nucleon effective int.,Information of isospin dependence,Dirac structure of G Matrix,Bethe-Salpeter equation,3-dimensional reduction,:(RBBG),Self-consistent calculations,G,?,U,s,U,0,Dirac eq.s.p.wf,G matrix-do not keep the track of rel.,structure,G,U,s,U,o,Single particle energy,R.,Brockmann,R.Machleidt PRC 42(90)1965,Momentum dep.of U,s,&U,0,are neglected,works well in SNM,inconsistent results in ASNM,wrong sign of the isospin dependence,Asymmetric NM,Inconsequential results for,asymmetric,nuclear matter,U,s,U,0,isospin dep.with,a wrong sign,S.Ulrych,H.Muether,Phys.Rev.C56(1997)1788,Projection method,Projection method,F.Boersma,R.Malfliet,PRC 49(94)233,Ambiguity results are,obtained,for,with,PS and PV,Shiller,Muether,EPJ.A11(2001)15,New decomposition of G,Decomposition of DBHF G matrix,V :,OBEP,G,a projection method,(1,)(1,),Short range,m,(g/m),2,finite,E.Shiller,H.Muether,E Phys.J.A11(2001)15,Asymmetry Energy,3-body force,Parabolic behavior increase as the density,Ma and Liu PRC66(2002)024321;Liu and Ma CPL 19(2002)190,Isospin dep.NN effective int.,DBHF,Us U,0,(k,F,、,),A,G=V+,G,Us,E/A,B,RMF,g,g,g,g,density dep.,isospin dep.effective int.,RDDH:Brockmann,Toki,PRL68(92)3408,RDHF:Ma,Shi,Chen,PRC50(94)3170,Ma,Liu,PRC 66(2002)024321,Finite nuclei,F.Hofmann,C.M.Keil,H.Lenske,PRC64(01)034314,Optical model potential,The,optical potential,of a nucleon,the,nucleon self-energy,in the nuclear medium,Nucleon self-energy in the nuclear medium with E 0,k,E,E,incident energy,Simple,model,RHF in the,and,model,g,2,/4=7.56,k,F,=1.36 fm,-1,g,2,/4=10.11 B/A=-15.75MeV,Real part:,Hartree-Fock,Imaginary part:,polarization,work in the symmetric nuclear matter,ZY Ma,P Zhu.YQ Gu,YZ Zhuo,Nucl.Phys.A490(88)619,s,w,s,w,P+,208,Pb at E,p,=65 MeV,Ma,Zhu.Gu,Zhuo,Nucl.Phys.A490(88)619,Outline the method,DBHF,(,k,k,F,),U,s,(,k,k,F,),U,0,(,k,k,F,),U,s,(,E,r,),U,0,(,E,r,),LDA,E-k,self-consistently,real&,imaginary,?,Schroedinger type eq.,(eliminating small component),V,eff,V,s.o.,V,darwin,V,coulomb,d,/d,Ay,Q,Effective interactions,Effective int.,HF(,),U,s,U,0,B/A,G,Imaginary part of,OMP,Density dep.Effec.coupling constants,Effective int.,HF(,),U,s,U,0,B/A,G,Constraints:,Self-Energy of proton and neutron,0,.3,.6,1,208,Pb density distribution,Proton self-energies,Schroedinger equivalent potentials,208,Pb(p,p),208,Pb,208,Pb(p,p),208,Pb,at E=65 MeV,Isospin dependence of OMP,p+,208,Pb,isospin dependence,Isospin dependence of OMP,Isospin dependence of OMP,Lane potential,difference of proton and neutron OMP,V,1,=24MeV,Proton,208,Pb,Lane potential,Density distribution of Ca-isotopes,Properties of Ca-isotopes,均方根半径,p(fm),n(fm),40,Ca,3.3771,3.3286,48,Ca,3.3787,3.6048,60,Ca,3.35512,4.1601,70,Ca,3.6681,4.4457,p+,60,Ca at E=65 MeV,Importance of isospin dependence OMP,Calculation with,isospind dep.and,isospin indep.OMP,Results with isospin,dep.OMP are better,for stable nuclei.,Large difference is,observed for exotic,nuclei,Isospin dep.of effective mass,Importance of the isospin depndence,reaction dynamics of nuclear collisions by radioactice nuclei,neutron-proton differential collective flow,isospin equil.,neutron star properties,Nothing is known experimentally about,Non-relativistic models:dep.on models,RMF:,consistent with Exp.,B.A.Li nucl-th/0404040,Definition of effective mass,M*and m*refere to different quantities,Jaminon&Mahaux89,m*characterizes the nonlocality of the microscopic,potential in space(k-mass)an time(E-mass),derived from analyses of experimental data nonrel.shell,model or optical model,Dirac and Lorentz mass,RMF,U,s,U,o,are constant in energy,Dirac mass(scalar mass),Schroedinger equivalent potential,Lorentz mass(vector mass),not related to a non-locality of the rel.potentials,U,s,U,o,should be of momentum and energy dependence,DBHF,Scalar mass in DBHF:,Vector mass:,Isospin dep.of OMP is,consistent with Lane pot.,Summary,Isospin dependence of the ROMP is studied from the,DBHF,New decomposition of G matrix is adopted,G=V+,G,ROMP for finite nuclei,EME and LDA,Isospin dep.of OMP is important for the reaction of,radioactive nuclei,Isospin dep.of effective mass,Thanks,