Directory: masses/
File: matter-density-hfb02.readme (January 15, 2002)
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matter-density-hfb02/zxxx.dat
Neutron and proton density distributions based on the HFB model
(provided by S. Goriely on January 15, 2002)
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HFB PREDICTION OF THE NUCLEON DENSITY DISTRIBUTIONS
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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Neutron and proton distributions predicted within the
Hartree-Fock-Bogolyubov method based on the BSk2 Skyrme force. The
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. 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 0.689 MeV
for the 1888 nuclei with Z,N >=8 included in the Audi&Wapstra
compilation of 1995 [3]. The HFB model is also found to give reliable
predictions of nuclear 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 of neutron and proton densities includes
all nuclei with N,Z>=8 and Z<=120 between the proton and neutron
driplines. The densities are tabulated in the radius grid ranging from
0.1 to 15 fm in steps of 0.1 fm.
Format
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Data for all isotopes of a given element are stored in a single file
named after the element atomic number (e.g., z026.dat refers to
Fe). The files are located in the matter-density-hfb02 directory.
Data for each isotope start with a line containing:
Z : charge number
A : mass number
El : element symbol
in the FORTRAN format (' Z=',i4,' A=',i4,2x,a2). This is followed by a title
line and 150 lines with:
r : the nuclear radius in [fm] by steps of 0.1 fm
rhon: the neutron density in [fm^-3]
rhop: the proton density in [fm^-3]
The corresponding FORTRAN format for the latter 150 lines is (f8.3,2e12.5)
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 (1995) Nucl. Phys. A595, 409
[4] E. Nadjakov, K. Marinova and Y. Gangrsky (1994) Atomic Data and Nucl.
Data Tables 56, 134.