MOLLER.readme


            Atomic Masses, Shell Corrections and Deformations
                   (Provided by P. Moller, 10 May 1997)
            *************************************************

TITLE:
Nuclear Ground-State Masses and Deformations

AUTHORS:  
P. Moeller and J. R. Nix 
(Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545) 
and W. D. Myers and W. J. Swiatecki 
(Nuclear Science Division, Lawrence Berkeley Laboratory, Berkeley, CA 94720)

REFERENCE:
Atomic Data and Nuclear Data Tables, Vol 59 (1995) 185-383

ABSTRACT:
We tabulate the atomic mass excesses and nuclear ground-state deformations 
of 8979  nuclei ranging from O-16 to A=339. The calculations are based on 
the finite-range droplet macroscopic model and the folded-Yukawa 
single-particle microscopic model. Relative to our 1981 mass table the 
current results are obtained with an improved macroscopic model, an improved 
pairing model with a new form for the effective-interaction pairing gap, and 
minimization of the ground-state energy with respect to additional shape 
degrees of freedom.  The values of only nine constants are determined 
directly from a least-squares adjustment to  the ground-state masses of 1654
nuclei ranging from O-16 to [Z=106, A=263] 
and to 28 fission-barrier heights. The error of the mass model is 0.669 MeV 
for the entire region of  nuclei considered, but is only 0.448 MeV for the 
region N greater than or equal to 65.
 

TABLE TITLE: 
"Calculated Nuclear Ground-State Masses and Deformations, 
Compared to Experimental Masses Where Available"

TABLE FORMAT:
(3i5,9f10.3,6f10.2) 

TABLE VARIABLES:
Z, N, A, epsilon2,  epsilon3,  epsilon4,  epsilon6,  epsilon6-sym, beta2, 
beta3, beta4, beta6,  emic, mth, mexp, sigmaexp, emic-fl, mth-fl

EXPLANATION OF TABLE VARIABLES:
Z = proton number. The mass table is ordered by increasing proton number. 
    The corresponding chemical symbol of each named element is given in 
    parentheses.
 

N = neutron number.
 

A = mass number.
 

epsilon2 = calculated ground-state quadrupole deformation in the Nilsson 
           perturbed-spheroid parameterization.
 

epsilon3 = calculated ground-state octupole deformation in the Nilsson 
           perturbed-spheroid parameterization.
 

epsilon4 = calculated ground-state hexadecapole deformation in the Nilsson 
           perturbed-spheroid parameterization.
 

epsilon6 = calculated ground-state hexacontatetrapole deformation in the 
           Nilsson perturbed-spheroid parameterization. The value in this 
           column is used in the mass calculation.  If epsilon3 not equal 0,  
           then epsilon6 was not varied but was instead held fixed at the 
           value that minimizes the macroscopic energy for Pu-240.
 

epsilon6-sym = calculated ground-state hexacontatetrapole deformation in the 
               Nilsson perturbed-spheroid parameterization for epsilon3 =0. 
               This is the optimum value of epsilon6 when mass asymmetry is 
               not considered. It is provided for use in computer codes or 
               other applications that cannot take into account mass-
               asymmetric shapes.
 

beta2 = calculated quadrupole deformation of the nuclear ground-state 
        expressed in the spherical-harmonics expansion defined by Eq. 37 
        in the text.
 

beta3 = calculated octupole deformation of the nuclear ground-state expressed
        in the spherical-harmonics expansion defined by Eq. 37 in the text.
 

beta4 = calculated hexadecapole deformation of the nuclear ground-state 
        expressed in the spherical-harmonics expansion defined by Eq. 37 in 
        the text.
 

beta6 = calculated hexacontatetrapole deformation of the nuclear ground-state
        expressed in the spherical-harmonics expansion defined by Eq. 37 in 
        the text.
 

emic = calculated ground-state microscopic energy, given by the difference 
       between the calculated ground-state atomic mass excess and the 
       spherical macroscopic energy calculated from Eq. 40, in our preferred 
       model, the FRDM (see text).
 

mth = calculated ground-state atomic mass excess, in our preferred model, 
      the FRDM.
 

mexp = experimental ground-state atomic mass excess in the 1989 midstream 
       evaluation of Audi with 4 revisions [private communication (1989)].
 

sigmaexp = experimental error associated with the ground-state atomic mass 
           excess in the 1989 midstream evaluation of Audi with 4 revisions 
           [private communication (1989)].
  

emic-fl = calculated ground-state microscopic energy, given by the 
          difference between the calculated ground-state atomic mass excess 
          and the spherical macroscopic energy calculated from Eq. 62, in 
          the FRLDM.
 

mth-fl = calculated ground-state atomic mass excess, in the FRLDM.
_________________________________ 
Note that the absence of an entry in epsilon3, epsilon6-sym, and beta3 means 
that the ground state is symmetric in shape.

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