Scaling laws and higher-order effects in Coulomb excitation of neutron halo nuclei

Abstract

Essential properties of halo nuclei can be described in terms of a few low-energy constants. For neutron halo nuclei, analytical results can be found for wave functions and electromagnetic transition matrix-elements in simple but well-adapted models. These wave functions can be used to study nuclear reactions; an especially simple and instructive example is Coulomb excitation. A systematic expansion in terms of small parameters can be given. We present scaling laws for excitation amplitudes and cross sections. The results can be used to analyze experiments like ${}^{11}$Be Coulomb excitation. They also serve as benchmark tests for more involved reaction theories.

arXiv comment7 pages, 2 figures, submitted to European Physical Journal A

References in corpus (12)

• Effective Field Theory for Halo Nuclei: Shallow p-Wave States
• Narrow Resonances in Effective Field Theory
• Electromagnetic strength of neutron and proton single-particle halo nuclei
• Higher order effects in electromagnetic dissociation of neutron halo nuclei
• Effective-range approach and scaling laws for electromagnetic strength in neutron-halo nuclei
• Analysis of Coulomb breakup experiments of 8B with a dynamical eikonal approximation
• A Coupled-Channels Study of ${}^{11}Be$ Coulomb Excitation
• B(E1) Strengths from Coulomb Excitation of 11Be
• Multiple Electromagnetic Excitation in Fast Peripheral Heavy Ions Collisions
• Nuclear halo and its scaling laws
• Role of Higher Multipole Excitations in the Electromagnetic Dissociation of One Neutron Halo Nuclei
• Scaling laws and higher-order effects in Coulomb excitation of neutron halo nuclei

Cited by in corpus (5)

• Nuclear effective field theory: status and perspectives
• Effective field theory description of halo nuclei
• Electric properties of the Beryllium-11 system in Halo EFT
• Carbon-19 in Halo EFT: Effective-range parameters from Coulomb-dissociation experiments
• Scaling laws and higher-order effects in Coulomb excitation of neutron halo nuclei