nuclear physics in poland 1996 – 2006

GLOBAL PROPERTIES OF NUCLEIA.Baran 1 , Z.Łojewski 2 , B.Nerlo-Pomorska 1 , K.Pomorski 1 , M.Warda 11 Institute of Physics, Maria Curie-Skłodowska University, Lublin2 Institute of Informatics, Maria Curie-Skłodowska University, LublinThe potential energy of β-stable nuclei wascalculated within Hartree-Fock procedure withthe Relativistic Mean Field Theory (RMFT+NL3) ,the Gogny force (D1S), Skyrme interaction andmacroscopic-microscopic method with theWoods-Saxon and Nilsson single particlepotentials [1].The proton and neutron radii were calculatedand their isospin dependence analysed for exoticnuclei using RMFT [2,3], D1S [4] and macroscopicmicroscopicmethod with Woods-Saxon potential[5]. The radii of K isomers [6] and neutron halo inheavy nuclei with D1S force were also calculated[7].In Fig. 1 the shell corrections are presented,extracted from the single particle levels of selfconsistentmean fields of Gogny D1S [8,9,10,11]and RMFT+NL3 [12,13,14] by the Strutinskymethod smoothing the energy in the energy space(NL3, D1S) or in nucleon number space (NL3N,D1SN). The smooth part of potential energy wascompared to various liquid drop models [15,16].The shell and pairing energies were obtained byfolding in nucleon number space [17,18]. Theaverage pairing energy is also analysed within n-folding [19] giving double value for scission pointin fission isomers.The new way of evaluating the shellcorrections [21] by folding in nucleon numberspace conserves the particle number exactly andgives similar results as the traditional Strutinskyfolding in single particle energy space for largedeformed nuclei, while for spherical isotopes thenew shell corrections become deeper. This effect isconnected with the zero point vibrations, whichshould be taken into account [22], but wereneglected previously ( Nucl. Phys. A95, 420(1967)). The whole macroscopic-microscopicmethod should be modified by the newmacroscopic – Lublin Strasbourg Drop [23] part,Yukawa folded mean field, new shell corrections[21] and the n-folded average pairing [18] term.All the parameters should be fitted to the actuallyavailable data. Then the macroscopic-microscopicmethod can compete with selfconsistent models,which are much more calculation timeconsuming.Fig. 1. The shell corrections of neutrons (left) and protons (right) forisotopes (upper panels), isotones (middle panels) and β-stable nuclei(lowest panel).43