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Insensitivity of the Coulomb breakup of halo nuclei to spectroscopic factors

Live-Palm Kubushishi, Pierre Capel

Abstract

Exotic nuclear structures such as halos are mostly studied using reactions. In Coulomb breakup, the radioactive projectile dissociates through its interaction with a heavy target. Often, a spectroscopic factor for the core-halo structure is inferred from experimental data. In this work, we present a new calculation of the Coulomb breakup of the one-neutron halo nucleus $^{11}$Be performed with a coupled-channel effective particle-rotor model of that nucleus, which accounts for the excitation of the $^{10}$Be core. Changes in the spectroscopic factor have no effect on the cross sections when the asymptotic normalisation coefficient is fixed, hence confirming the insensitivity of Coulomb-breakup cross sections to spectroscopic factors.

Insensitivity of the Coulomb breakup of halo nuclei to spectroscopic factors

Abstract

Exotic nuclear structures such as halos are mostly studied using reactions. In Coulomb breakup, the radioactive projectile dissociates through its interaction with a heavy target. Often, a spectroscopic factor for the core-halo structure is inferred from experimental data. In this work, we present a new calculation of the Coulomb breakup of the one-neutron halo nucleus Be performed with a coupled-channel effective particle-rotor model of that nucleus, which accounts for the excitation of the Be core. Changes in the spectroscopic factor have no effect on the cross sections when the asymptotic normalisation coefficient is fixed, hence confirming the insensitivity of Coulomb-breakup cross sections to spectroscopic factors.
Paper Structure (4 sections, 7 equations, 1 figure, 1 table)

This paper contains 4 sections, 7 equations, 1 figure, 1 table.

Table of Contents

  1. Introduction
  2. Formalism
  3. Results
  4. Conclusion

Figures (1)

  • Figure 1: Influence of the coupling between configurations in the $^{11}$Be description on (a) radial wave functions $u_\alpha$, and (b) $d\sigma_{\rm bu}/dE$ for $^{11}$Be on Pb at 69 MeV/nucleon. The contributions of the different partial waves $\hbox{$\frac{3}{2}$}^-$ and $\hbox{$\frac{1}{2}$}^-$ are shown separately. Our results are folded with the experimental resolution and compared to RIKEN data selected at forward angle FUK04.