Low-energy ${}^6$He scattering in a microscopic model

Abstract

A microscopic version of the Continuum Discretized Coupled Channel (CDCC) method is used to investigate ${}^6$He scattering on ${}^{27}$Al, ${}^{58}$Ni, ${}^{120}$Sn, and ${}^{208}$Pb at energies around the Coulomb barrier. The ${}^6$He nucleus is described by an antisymmetric 6-nucleon wave function, defined in the Resonating Group Method. The ${}^6$He continuum is simulated by square-integrable positive-energy states. The model is based only on well known nucleon-target potentials, and is therefore does not depend on any adjustable parameter. I show that experimental elastic cross sections are fairly well reproduced. The calculation suggests that breakup effects increase for high target masses. For a light system such as ${}^6$He+${}^{27}$Al, breakup effects are small, and a single-channel approximation provides fair results. This property is explained by a very simple model, based on the sharp-cut-off approximation for the scattering matrix. I also investigate the ${}^6$He-target optical potentials, which confirm that breakup channels are more and more important when the mass increases. At large distances, polarization effects increase the Coulomb barrier, and provide a long-tail absorption component in the imaginary part of the nucleus-nucleus interaction.

11 pages, 11 figures, accepted at Phys. Rev. C

References in corpus (5)

• Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis
• Elastic Scattering and Total Reaction Cross Section for the 6He + 27Al System
• An R-matrix package for coupled-channel problems in nuclear physics
• ${}^9$Be elastic scattering on ${}^{208}$Pb and ${}^{27}$Al within a four-body reaction framework
• Elastic scattering of 17F, 17O and 19F on a heavy target in microscopic continuum discretized coupled-channels method

Cited by in corpus (5)

• 9Be scattering with microscopic wave functions and the CDCC method
• Microscopic three-cluster study of light exotic nuclei
• Dineutron in the $2_1^{+}$ state of ${}^6$He
• Recent advances in the description of reactions involving exotic nuclei
• Quantum corrections to the Relativistic mean-field theory