Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamicalγsoftness and triaxiality
نویسندگان
چکیده
منابع مشابه
Phonon and multi-phonon excitations in rotational nuclei by exact diagonalization of the Bohr Hamiltonian
Exact numerical diagonalization of the Bohr Hamiltonian by SU(1, 1) × SO(5) methods is used to obtain detailed quantitative predictions for single-phonon and multi-phonon excitations in well-deformed rotor nuclei. Dynamical γ deformation is found to significantly influence the predictions through its coupling to the rotational motion. Basic signatures for the onset of rigid triaxial deformation...
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The Bohr-Mottelson model is solved for a generic soft triaxial nucleus, separating the Bohr hamiltonian exactly and using a number of different model-potentials: a displaced harmonic oscillator in γ, which is solved with an approximated algebraic technique, and Coulomb/Kratzer, harmonic/Davidson and infinite square well potentials in β, which are solved exactly. In each case we derive analytic ...
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For a gaussian interaction V (x, y) = λ e− x2+y2 2r2 with long range r >> lB, lB the magnetic length, we rigorously prove that the eigenvalues of the finite volume Hamiltonian HN,LL = PLLHNPLL, HN = ∑N i=1 ( −i~∇xi − eA(xi) 2 + ∑ i,j; i6=j V (xi − xj), rotA = (0, 0, B), and PLL the projection onto the lowest Landau level, are given by the following set: Let M be the number of flux quanta flowin...
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ژورنال
عنوان ژورنال: Physical Review C
سال: 2011
ISSN: 0556-2813,1089-490X
DOI: 10.1103/physrevc.83.064309