On an optical-model description of the relaxation of deep hole states in medium-heavy-mass spherical nuclei

Abstract

The Green's function method is used to formulate the single-quasiparticle dispersive optical model with the aim of semimicroscopically describing the relaxation of deep hole states in medium-heavymass spherical nuclei. The results of the calculations performed on the basis of this model for the 208 Pb parent nucleus are compared with experimental data.

On the excitation energy of deep-hole states in medium-heavy-mass spherical nuclei

“…1). The same conclusion follows from calculations exploiting a realistic partially self-consistent phenomenological mean field provided that the parameters of this mean field adjusted to describe the observable single-quasiparticle spectra near the Fermi energy [3].…”

“…W(ε) = W(|E|), where E = ε − μ, and |E| is the single-quasiparticle excitation energy; (ii) the real quantity Δ can be presented as the sum Δ d + Δ p , where the first ("dispersive") term is due to the spreading effect while the second ("potential") term simulates the mean-field energy dependence. Using the above supposition for W(|E|), one gets the dispersive relationship which determines the dispersive part of Δ via W [3,4]:…”

“…[3]), which determines the singleparticle (s-p) Hamiltonian H 0 (x). Then the optical-model Hamiltonian is (the isobaric index, on which all considered quantities are diagonal, is omitted)…”

“…In most Hartree-Fock calculations exploiting different versions of Skyrme-type 208 Pb parent nucleus obtained by Hartree-Fock calculations exploiting different versions of Skyrme-type forces (the circles and squares are corresponds to neutron and proton states, respectively) [2]; the filled symbols are related to the partially selfconsistent mean field (PSCMF) of Ref. [3]; the dashed and solid lines corresponds to the experimental data of Ref. [1] for proton and neutron states, respectively.…”

“…To reach this aim, we use the single-quasiparticle dispersive optical model (SQ-DOM) formulated in a rather formal way long ago [4]. Microscopically-based transition to the SQDOM was performed recently [3]. Table 1.…”