Role ofE1−E2interplay in multiphonon Coulomb excitation

Abstract

In this work we study the problem of a charged particle, bound in a harmonic-oscillator potential, being excited by the Coulomb field from a fast charged projectile. Based on a classical solution to the problem and using the squeezed-state formalism we are able to treat exactly both dipole and quadrupole Coulomb field components. Addressing various transition amplitudes and processes of multiphonon excitation we study different aspects resulting from the interplay between E1 and E2 fields, ranging from classical dynamic polarization effects to questions of quantum interference. We compare exact calculations with approximate methods. Results of this work and the formalism we present can be useful in studies of nuclear reaction physics and in atomic stopping theory.

Quantum tunneling and scattering of a composite object reexamined

“…In Ref. [45], one can find more references that are relevant, and a model that is similar in spirit and discusses the Coulomb excitation of a harmonic oscillator.…”

Coulomb dissociation ofC15and radiative neutron capture onC14Esbensen1 2009Phys. Rev. C241181View full textAdd to dashboardCite

“…Naively, one would expect that the analysis of the measured decay-energy spectra in terms of first-order perturbation theory [4] would result in a much better agreement with the direct capture measurement because the far-field approximation for Coulomb excitation is well justified and the E2 strength is very weak for a neutron halo nucleus. Consequently, the dynamic polarization effect, which is caused by an interplay of E1 and E2 transitions [13], is much weaker for a neutron than for a proton halo nucleus. It is therefore of interest to analyze the measured decay-energy within the semiclassical, dynamical description, in order to see whether the discrepancy with the radiative capture measurement can be reduced.…”

Extracting the electric dipole breakup cross section of one-neutron halo nuclei from inclusive breakup observables

“…The neutron halo structure [1,2], which indicates the breakdown of the saturation property of the nuclear density, is one of the novel properties of unstable nuclei. So far several neutron halo nuclei have been discovered: 11 Be, 15 C, 19 C, and 31 Ne are well established one-neutron halo nuclei, and 6 He, 11 Li, 14 Be, 17 B, and 22 C are known as two-neutron halo nuclei. Nowadays, the neutron halo structure is considered to be a rather general feature of unstable nuclei far from the stability line.…”

“…( 1) and find an appropriate value of Γ. There exists a number of works [13,14,15,16,17,18,19,20,21,22,23,24] regarding the assumptions behind Eq. ( 1), i.e., interference between nuclear and Coulomb breakup, role of continuumcontinuum couplings, breakup due to the electric quadrupole field, and so forth.…”