ar X iv : n uc l - th / 0 40 40 46 v 1 1 6 A pr 2 00 4 Analytical relationship for the cranking inertia

نویسندگان

  • D. N. Poenaru
  • R. A. Gherghescu
چکیده

The wave function of a spheroidal harmonic oscillator without spin-orbit interaction is expressed in terms of associated Laguerre and Hermite polynomials. The pairing gap and Fermi energy are found by solving the BCS system of two equations. Analytical relationships for the matrix elements of inertia are obtained function of the main quantum numbers and potential derivative. They may be used to test complex computer codes one should develop in a realistic approach of the fission dynamics. The results given for 144 Nd, 240 Pu, 252 Cf, and 264 Fm nuclei are compared with a hydrodynamical model.

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تاریخ انتشار 2004