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arXiv · 1112.0267

Two and Three Nucleons in a Trap and the Continuum Limit

J. Rotureau·I. Stetcu·B. R. Barrett·U. van Kolck
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Abstract

We describe systems of two and three nucleons trapped in a harmonic-oscillator potential with interactions from the pionless effective field theory up to next-to-leading order (NLO). We construct the two-nucleon interaction using two-nucleon scattering information. We calculate the trapped levels in the three-nucleon system with isospin $T=1/2$ and determine the three-nucleon force needed for stability of the triton. We extract neutron-deuteron phase shifts, and show that the quartet scattering length is in good agreement with experimental data.

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J. Rotureau, I. Stetcu, B. R. Barrett, U. van Kolck. 2011-12-01. Two and Three Nucleons in a Trap and the Continuum Limit. https://doi.org/10.1103/physrevc.85.034003

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