Effective-range approach and scaling laws for electromagnetic strength in neutron-halo nuclei

Abstract

We study low-lying multipole strength in neutron-halo nuclei. The strength depends only on a few low-energy constants: the neutron separation energy, the asymptotic normalization coefficient of the bound state wave function, and the scattering length that contains the information on the interaction in the continuum. The shape of the transition probability shows a characteristic dependence on few scaling parameters and the angular momenta. The total E1 strength is related to the root-mean-square radius of the neutron wave function in the ground state and shows corresponding scaling properties. We apply our approach to the E1 strength distribution of 11Be.

4 pages, 1 figure (modified), additional table, extended discussion of example, accepted for publication in Phys. Rev. Lett

References in corpus (6)

• Effective Field Theory for Halo Nuclei: Shallow p-Wave States
• A renormalisation-group treatment of two-body scattering
• Direct radiative capture of p-wave neutrons
• Electromagnetic Dissociation as a Tool for Nuclear Structure and Astrophysics
• Higher order effects in electromagnetic dissociation of neutron halo nuclei
• Low energy behavior of astrophysical S factor in radiative captures to loosely bound final states

Cited by in corpus (23)

• Ab initio many-body calculations of nucleon-nucleus scattering
• Effective field theory description of halo nuclei
• Relativistic, QED, and finite nuclear mass corrections for low-lying states of Li and Be${}^{+}$
• Halos and related structures
• Electric properties of the Beryllium-11 system in Halo EFT
• Electromagnetic strength of neutron and proton single-particle halo nuclei
• Volume Dependence of Bound States with Angular Momentum
• Non-relativistic bound states in a finite volume
• Range corrections for two-neutron halo nuclei in effective theory
• Influence of the projectile description on breakup calculations
• Peripherality of breakup reactions
• Dissecting reaction calculations using Halo EFT and ab initio input
• Excitation of soft dipole modes in electron scattering
• Extended Theory of Finite Fermi Systems: Application to the collective and non-collective E1 strength in ${}^{208}$Pb
• Electron scattering on halo nuclei
• Reconciling Coulomb breakup and neutron radiative capture
• Direct Reactions with Exotic Nuclei, Nuclear Structure and Astrophysics
• Pygmy resonances probed with electron scattering
• Combining Halo-EFT descriptions of nuclei and precise models of nuclear reactions
• Neutron transfer reactions in halo effective field theory
• Scaling laws and higher-order effects in Coulomb excitation of neutron halo nuclei
• Exit Doorway Model for Nuclear Breakup of Weakly Bound Projectiles
• Universal Properties of Weakly Bound Two-Neutron Halo Nuclei