Directory: masses/ File: mass-hfb02.readme (January 15, 2002) ************************************************* mass-hfb02.dat Compilations of ground state properties based on the HFB model (provided by S. Goriely on January 15, 2002) *************************************************************** HFB PREDICTION OF GROUND-STATES PROPERTIES S. Goriely Universite Libre de Bruxelles (Belgium) M. Samyn Universite Libre de Bruxelles (Belgium) M. Pearson Universite de Montreal, Quebec (Canada) Content -------- Predictions of the ground state properties obtained within the Hartree-Fock-Bogoliubov method. In the framework of the HFB theory, a 10-parameter Skyrme force, along with a 4-parameter delta-function pairing force (with blocking for odd nuclei) and a 3-parameter Wigner term, is fitted to all the 1888 measured masses of nuclei with N and Z >= 8. The Skyrme force, BSk2, is a standard Skyrme force which is characterized by the following nuclear matter properties: the energy per nucleon at equilibrium in symmetric nuclear matter av=-15.794 MeV, the corresponding density rho0=0.1575 fm-3, the isoscalar effective mass M*/M=1.04, the isovector effective mass M*/M=0.86 and the symmetry coefficient J=28 MeV. All details about the BSk2 force can be found in [1] and about the HFB model in [2]. The final rms error of this fit is 0.680 MeV for the 1888 masses of nuclei with Z,N >= 8 included in the Audi&Wapstra compilation of 1995 [3]. This rms deviation is to be compared to the rms error of 0.738 MeV for the recent HFBCS-1 mass table and 0.689 MeV for the FRDM predictions. The HFB model is also found to give reliable predictions of radii. A comparison with the measured radii of the 523 nuclei in the 1994 data compilation of Nadjakov et al. [4] shows an rms error of 0.028 fm. The present HFB-2 compilation includes 9200 nuclei with N,Z>=8 and Z<=120 between the proton and neutron driplines. The table also includes the experimental masses when available [3], the calculated masses, the deformation parameters and density distribution parameters. The density distribution parameters are determined fitting the HFB distribution by a simple Fermi function. The amplitude is determined from the conservation of nucleon number assuming spherical symmetry. The full tabulated density distributions assuming spherical symmetry can be found in the matter-density-hfb subdirectory for the same set of nuclei. Format ------ Each record of the file contains : Z : charge number A : mass number El : element symbol fl : flag corresponding to 0 if no experimental data available 1 for a mass excess recommended by Audi&Wapstra (1995) 2 for a measured mass from Audi&Wapstra (1995) Mexp : experimental or recommended atomic mass excess in MeV of Audi&Wapstra (1995) Mth : calculated HFB-2 atomic mass excess in MeV beta2: calculated quadrupole deformation of the nuclear ground-state beta4: calculated hexadecapole deformation of the nuclear ground-state rhon : calculated amplitude of the neutron density distribution in fm^-3 rn : calculated radius of the neutron density distribution in fm an : calculated diffuseness of the neutron density distribution in fm rhop : calculated amplitude of the proton density distribution in fm^-3 rp : calculated radius of the proton density distribution in fm ap : calculated diffuseness of the proton density distribution in fm The corresponding FORTRAN format is (2i4,1x,a2,1x,i1,2f10.3,2f8.3,6f9.4) References ---------- [1] S. Goriely, M. Samyn, P.-H. Heenen, J.M. Pearson and F. Tondeur (2002) Phys. Rev. C66, 024326. [2] M. Samyn, S. Goriely, P.-H. Heenen, J.M. Pearson and F. Tondeur (2002) Nucl. Phys. A700, 142. [3] G. Audi and A. H. Wapstra Nucl. Phys. A595 (1995) 409. [4] E. Nadjakov, K. Marinova and Y. Gangrsky (1994) Atomic Data and Nucl. Data Tables 56, 134.