Three-neutron resonance study using transition operators

Abstract

Existing bound-state type calculations of three-neutron resonances yield contradicting results. A direct study of the three-neutron continuum using rigorous scattering equations with realistic potentials and search for possible resonances is aimed. Faddeev-type integral equations for three-neutron transition operators are solved in the momentum-space partial-wave framework. The evolution of resonances is studied by enhancing the strength of the two-neutron interaction in partial waves with nonzero orbital momentum. Calculated three-neutron transition operators exhibit resonant behavior for sufficiently large enhancement factors; pole trajectories in the complex-energy energy plane are extracted from their energy dependence. However, the resonant behavior completely disappears for the physical interaction strength. There are no physically observable three-neutron resonant states consistent with presently accepted interaction models.

6 pages, 6 figures (one figure and discussion added)

References in corpus (5)

• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Prediction for a four-neutron resonance
• Three-neutron resonance trajectories for realistic interaction models
• Are low-energy nuclear observables sensitive to high-energy phase shifts?
• Low-momentum interactions in three- and four-nucleon scattering

Cited by in corpus (14)

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• Few-body bound states and resonances in finite volume
• Three-body resonances in pionless effective field theory
• Study of three-neutron bound and continuum states
• Trineutron resonances in the SS-HORSE-NCSM approach
• Energies and widths of Efimov states in the three-boson continuum
• The excited state of the $\alpha$-particle: a benchmark study
• Comparison of Pauli projection and supersymetric transformation methods for three-body nuclear structure and reactions
• Short-distance production of three particles with large scattering length
• Method to search for the triple-neutron state in an electron scattering experiment