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Variational procedure leading from Davidson potentials to the E(5)and X(5) critical point symmetries

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Variational procedure leading from Davidson potentials to the E(5)and X(5) critical point symmetries (EN)
Minkov, N.
Lenis, D.
Petrellis, D.
Bonatsos, Dennis
Raychev, P. P.
Terziev, P. A.
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
2020-02-20
Davidson potentials of the form β^2 + β0^4/β^2, when used in the original Bohr Hamiltonian for γ-independent potentials bridge the U(5) and 0(6) symmetries. Using a variational procedure, we determine for each value of angular momentum L the value of β0 at which the derivative of the energy ratio RL = E(L)/E(2) with respect to β0 has a sharp maximum, the collection of RL values at these points forming a band which practically coincides with the ground state band of the E(5) model, corresponding to the critical point in the shape phase transition from U(5) to Ο(6). The same potentials, when used in the Bohr Hamiltonian after separating variables as in the X(5) model, bridge the U(5) and SU(3) symmetries, the same variational procedure leading to a band which practically coincides with the ground state band of the X(5) model, corresponding to the critical point of the U(5) to SU(3) shape phase transition. A new derivation of the Holmberg-Lipas formula for nuclear energy spectra is obtained as a by-product. (EN)
Annual Symposium of the Hellenic Nuclear Physics Society
English
Hellenic Nuclear Physics Society (HNPS) (EN)
2654-0088
2654-007X
Annual Symposium of the Hellenic Nuclear Physics Society; Τόμ. 13 (2004): HNPS2004; 10-16 (EL)
HNPS Advances in Nuclear Physics; Vol. 13 (2004): HNPS2004; 10-16 (EN)
Πνευματική ιδιοκτησία (c) 2020 Dennis Bonatsos, D. Lenis, N. Minkov, D. Petrellis, P. P. Raychev, P. A. Terziev (EL)
Hellenic Nuclear Physics Society
Annual Symposium of the Hellenic Nuclear Physics Society
Oral contributions



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