Coupling of surface and bulk vibrations in the nuclear breathing mode

Abstract

Abstract:We treat a general class of dynamical couplings of the surface to the bulk of a spherical nucleus during isoscalar breathing vibrations.

A density variational approach to nuclear giant resonances at zero and finite temperature

“…This question has been addressed within the semiclassical density variational framework in Refs. [70,71). There the scaling model was extended to two coupled modes, taken to be a surface and a bulk density vibration.…”

“…As discussed in Ref. [71], the coupling of the parameters clq and poq may be described in terms of a coupling parameter j? by cc,(r)= [ I p p,,(r) a,(O) PO,(O) .…”

“…Due to Rayleigh's variational principle [94], the two diagonalized eigenmodes may be visualized as one-dimensional vibrations with fixed p, its value being found by minimizing and maximizing, respectively, the energy of this one-dimensional mode [71]. In principle, one can obtain the operators corresponding to the diagonalized modes by integration of the orthogonal velocity fields, but this can only be done numerically.…”

“…In the present work we shall utilize a different approach [70][71][72]--although similar in spirit-which allows to employ diffuse density profiles and the most sophisticated realistic Skyrme forces (or, in principle, also finite-range forces, see Ref. [73]).…”

A density variational approach to nuclear giant resonances at zero and finite temperature

“…As discussed in Ref. [71], the coupling of the parameters clq and poq may be described in terms of a coupling parameter j? by The usual one-dimensional scaling (i.e., calculating the energy E3 with the r2 excitation operator) corresponds to @= -$, while a pure bulk-density vibration with fixed a, is given by /?…”