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Paper   IPM / Physic / 6856
School of Physics
  Title:   Lowest Order Constrained Variational and Local Density Approximation Approach to the Hot Alpha Particle
1.  M. Modarres
2.  H.R. Moshfegh
3.  h. Mariji
  Status:   Published
  Journal: Can. J. Phys.
  No.:  116
  Vol.:  80
  Year:  2002
  Pages:   911-923
  Supported by:  IPM
The free energy of an alpha particle is calculated using the local density approximation in the harmonic oscillator basis. The effective two-body interactions are generated from the lowest order constrained variational (LOCV) calculation for nuclear matter at finite temperature, with the Reid and Delta-Reid potentials. The Fermi?Dirac distribution is used to calculate the entropy and the occupation probability of each state of alpha particle at a given temperature. The effective mass is treated as a variational parameter. Our zero temperature results with the Delta-Reid interaction agree well with the experimental saturation data of alpha particle and the other many-body techniques. The flashing temperature of 5 MeV is found, which is consistent with experimental evidence. It is concluded that a similar liquid?gas phase transition to that of nuclear matter is most probable in the alpha particle and heavier nuclei.

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