Comparison of Pauli projection and supersymetric transformation methods for three-body nuclear structure and reactions

Abstract

Three-body Faddeev-type equations for bound, resonant, and scattering states in the systems with a nuclear core and two nucleons are solved using the momentum-space framework. Two approaches for eliminating the Pauli-forbidden deeply-bound states are compared: projecting out those states by a nonlocal term in the potential, and by using a supersymmetric transformation of the potential. While the former method is preferred by the experimental data for the deuteron-${}^4${He} scattering, the results for bound and resonant states do not indicate a clear superiority of a single method. Instead, systematic differences between them are found.

arXiv commentfew typos corrected; published in Phys. Rev. C

References in corpus (15)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Momentum-space treatment of Coulomb interaction in three-nucleon reactions with two protons
• FaCE: a tool for Three Body Faddeev calculations with core excitation
• The Pauli principle in a three-body cluster model and the momentum distributions after fragmentation of 6He and 11Li
• Nucleon polarization in three-body models of polarized \bbox{^6}Li
• Deuteron stripping and pickup involving halo nuclei 11Be and 15C
• Coulomb force effects in low-energy $\alpha$-deuteron scattering
• Phase equivalent potentials for three-body halos
• Identifying structures in the continuum: Application to ${}^{16}$Be
• Three-body model for the two-neutron decay of ${}^{16}$Be
• Three-neutron resonance study using transition operators
• Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity
• Realistic Ghost State : Pauli Forbidden State from Rigorous Solution of the Alpha Particle
• Breakup of a nucleus with two weakly bound neutrons on a proton target: Single-scattering approximation
• Neutron-${}^{19}\mathrm{C}$ scattering: Towards including realistic interactions

Cited by in corpus (1)

• Gaussian characterization of two-neutron halo nuclei