Directory: masses/
File: mass-hfb02.readme (January 15, 2002)
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mass-hfb02.dat
Compilations of ground state properties based on the HFB model
(provided by S. Goriely on January 15, 2002)
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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
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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
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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
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[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.