Two-Particle Potential from the Bethe-Salpeter Equation

1953 ◽  
Vol 91 (6) ◽  
pp. 1580-1580
Author(s):  
Wilhelm Macke
Keyword(s):  
2017 ◽  
Vol 13 (2) ◽  
pp. 4678-4688
Author(s):  
K. A. Kharroube

We applied two different approaches to investigate the deformation structures of the two nuclei S32 and Ar36 . In the first approach, we considered these nuclei as being deformed and have axes of symmetry. Accordingly, we calculated their moments of inertia by using the concept of the single-particle Schrödinger fluid as functions of the deformation parameter β. In this case we calculated also the electric quadrupole moments of the two nuclei by applying Nilsson model as functions of β. In the second approach, we used a strongly deformed nonaxial single-particle potential, depending on Î² and the nonaxiality parameter γ , to obtain the single-particle energies and wave functions. Accordingly, we calculated the quadrupole moments of S32 and Ar36 by filling the single-particle states corresponding to the ground- and the first excited states of these nuclei. The moments of inertia of S32 and Ar36 are then calculated by applying the nuclear superfluidity model. The obtained results are in good agreement with the corresponding experimental data.


1953 ◽  
Vol 10 (8) ◽  
pp. 1198-1200 ◽  
Author(s):  
W. Macke

1961 ◽  
Vol 16 (10) ◽  
pp. 1083-1089
Author(s):  
Hans Hackenbroich

The interplay of the quantum mechanical rotation of a core consisting of closed shells and nucleons outside the closed shells is considered. The core is characterized by its moment of inertia and its deformation is taken to be the same as the deformation of the one particle potential. Energies and wave functions of the system are calculated with the help of a variation method. The distortion of the wave function of the outer nucleons due to the rotation is considerably smaller than computed from first order perturbation theory. The INGLIS formula for rotational energies is a limiting case of our energy equation.The core moment of inertia enters the model as a parameter. This parameter can be estimated from the vibrational energies of spherical nuclei and from the rotational-vibrational interaction, but the two values obtained are not in good agreement. In our example (158Gd) only the second value gives the correct moment of inertia of the whole nucleus.


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