Skyrme-Hartree-Fock results for Phosphorus 27

* Last modification (y/m/d):2011/11/18
This directory contains the results of Hartree-Fock calculations for Phosphorus 27: HF calculations were done with the Skyrme Msk7, S3, SG2, SkM*, SkSC4, and SLy4 forces in the Catresian-mesh representation with a mesh spacing of 0.5fm and a cubic box=0.5fm*(50,50,50). (i.e., the length of the edge is 25 fm.) An octant of a nucleus is placed at a corner of the box, imposing D_{2h} symmetry. Nearest boundary is located at 25 fm from the center of the nucleus. The furtherst point in the box is located at 25fm*sqrt(3) from the center of the nucleus.

Summary table of the results of the calculations

N=12, Z=15 (27P)

[force]   [energy]     [Qz]    [gamma] [mass][neutr][proto]   [mass][neutron] [proton]    [result file]
             (MeV)     (fm^2)         deformation parameter   r.m.s. radius (fm)
ground state
  msk7    -215.486     56.995    0.000  0.173  0.210  0.147   3.0215   2.9318   3.0915  detail RDP
    s3    -207.466     82.022    0.000  0.242  0.280  0.215   3.0669   2.9802   3.1345  detail RDP
   sg2    -219.416     83.234    0.000  0.250  0.294  0.219   3.0395   2.9508   3.1087  detail RDP
  skm*    -210.837     67.988    0.000  0.202  0.248  0.169   3.0597   2.9629   3.1350  detail RDP
 sksc4    -214.107     54.669    0.000  0.168  0.203  0.143   3.0056   2.9171   3.0745  detail RDP
  sly4    -207.822     77.705    0.000  0.227  0.270  0.196   3.0840   2.9870   3.1594  detail RDP
  												    		
excited state

  msk7    -215.138     31.309 -180.000 -0.096 -0.110 -0.087   3.0035   2.9115   3.0751  detail RDP T=50keV
    s3    -206.034     47.766 -180.000 -0.143 -0.156 -0.134   3.0455   2.9520   3.1183  detail RDP [NC]
   sg2    -217.733     55.177 -180.000 -0.168 -0.184 -0.157   3.0207   2.9258   3.0946  detail RDP [NC]
  skm*    -209.921     39.419 -180.000 -0.119 -0.134 -0.107   3.0396   2.9388   3.1180  detail RDP [NC]
 sksc4    -213.787     29.620 -180.000 -0.092 -0.105 -0.083   2.9881   2.8979   3.0583  detail RDP T=50keV
  sly4    -206.725     50.499 -180.000 -0.149 -0.160 -0.142   3.0657   2.9637   3.1449  detail RDP [NC]

explanations

  1. "energy" is the binding energy of the nucleus compared with separated protons and neutrons.
  2. Qz=2z^2-x^2-y^2, i.e., the mass quadrupole moment, where z-axix is the symmetry axis.
  3. "gamma" is axial asymmetry parameter of the mass distribution. (in degree. +/-180deg and 0deg is the same)
  4. Click "detail" for the output of the program
    These output contains a character string "T=50keV" (meaning temperature is 50keV) which is not true except for two cases. The temperature is exactly zero for all the calculations except for excited solutions with Msk7 and SkSC4 forces.
  5. Click "RDP" for the angle-averaged radial density profile data. Data columns are :
    1. radius(fm)
    2. nucleon density(1/fm^3)
    3. neutron density(1/fm^3)
    4. proton density(1/fm^3)
    5. the number of mesh points to calculate the values in columns (1)-(4) as arithmetic averages
    Use a specialized interporation program to make an equidistant spacing radial density profile data using nonuniform mesh data obtainable by clicking "RDP"
  6. [NC] means that the solution has not been converged yet but is oscillating in configuration. (A finite temperature will stop the oscillation and make the solution converged.)

References to cite when using these data

When one includes the data downloadable from this web page, one should cite the following four references. The method of calculation is described in detail in Ref.1 and Ref.2. Odd-N and/or odd-Z nuclei are treated in the manner described in Ref.3 The original version of the computer program (ev8) is described in Ref.4.
  1. N. Tajima, S. Takahara, and N. Onishi, Nuclear Physics, A603, 23 (1996).
  2. N. Tajima, Progress of Theoretical Physics, Supplement, 142, 265 (2001).
  3. H. Kitagawa, N. Tajima, and H. Sagawa, Zeitschrift fuer Physik, A358, 381 (1997).
  4. P. Bonche, H. Flocard, P.-H. Heenen, S.J. Krieger, and M.S. Weiss, Nuclear Physics, A443, 39 (1985).
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