Exploring continuum structures with a pseudo-state basis

Abstract

The ability of a recently developed square-integrable discrete basis to represent the properties of the continuum of a two-body system is investigated. The basis is obtained performing a simple analytic local scale transformation to the harmonic oscillator basis. Scattering phase-shifts and the electric transition probabilities B(E1) and B(E2) have been evaluated for several potentials using the proposed basis. Both quantities are found to be in excellent agreement with the exact values calculated from the true scattering states. The basis has been applied to describe the projectile continuum in the 6He scattering by 12C and 208Pb targets at 240 MeV/nucleon and the 11Be scattering by 12C at 67 MeV/nucleon. The calculated breakup differential cross sections are found to be in very good agreement with the available experimental data for these reactions.

17 pages, 10 figures (Version to appear in Phys. Rev. C)

References in corpus (8)

• Four-body continuum-discretized coupled-channels calculations using a transformed harmonic oscillator basis
• Improved di-neutron cluster model for 6He scattering
• Electromagnetic strength of neutron and proton single-particle halo nuclei
• Integral relations for three-body continuum states with the adiabatic expansion
• Variational description of continuum states in terms of integral relations
• Dynamical Relativistic Effects in Breakup Processes of Halo Nuclei
• Dissociation of Relativistic Projectiles with the Continuum-Discretized Coupled-Channels Method
• Probing nucleon-nucleon interactions in breakup of a one-neutron halo ${}^{11}$Be on a proton target

Cited by in corpus (17)

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• Astrophysical reaction rate for ${}^9$Be formation within a three-body approach
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• Particle motion in a deformed potential using a transformed oscillator basis
• ${}^9$Be+${}^{120}$Sn scattering at near-barrier energies within a four body model
• ${}^9$Be elastic scattering on ${}^{208}$Pb and ${}^{27}$Al within a four-body reaction framework
• Identifying structures in the continuum: Application to ${}^{16}$Be
• Pairing in the continuum: the quadrupole response of the Borromean nucleus 6He
• Towards a Microscopic Reaction Description Based on Energy-Density-Functional Structure Models
• Electric multipole response of the halo nucleus ${}^6$He
• Determining $B(E1)$ distributions of weakly bound nuclei from breakup cross sections using Continuum Discretized Coupled Channels calculations. Application to ${}^{11}$Be
• Semi-microscopic folding model for the description of two-body halo nuclei
• High precision studies of soft dipole mode in two-neutron halo nuclei: ${}^6$He case
• Neutron-transfer induced breakup of the Borromean nucleus ${}^9$Be
• Continuum discretized BCS approach for weakly bound nuclei
• Pairing enhancement in a two-neutron transfer process through the continuum
• Pauli Blocking effects in Nilsson states of weakly bound exotic nuclei