Coulomb Excitation of Multi-Phonon Levels of the Giant Dipole Resonance

TL;DR

This paper derives a closed-form expression for the Coulomb excitation cross-section of multi-phonon giant dipole resonance levels, applicable across different models and energy regimes.

Contribution

It provides a novel analytical formula for Coulomb excitation cross-sections of giant dipole resonance levels with specific angular momentum and phonon number.

Findings

Derived a closed expression for excitation cross-sections.

Applied the formula to Goldhaber-Teller and Steinwedel-Jensen models.

Analyzed non-relativistic and relativistic energy cases.

Abstract

A closed expression is obtained for the cross-section for Coulomb excitation of levels of the giant dipole resonance of given angular momentum and phonon number. Applications are made to the Goldhaber-Teller and Steinwedel-Jensen descriptions of the resonance, at non-relativistic and relativistic bombarding energies.