Nucleon-Nucleon Scattering in a Harmonic Potential

Abstract

The discrete energy-eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are compared to those obtained from the exact continuum scattering solution and agree within the uncertainties of the calculations. Our results suggest that it might be possible to determine the amplitudes for the scattering of complex systems, such as n-d, n-t or n-alpha, from the energy-eigenvalues confined to finite volumes using ab-initio bound-state techniques.

19 pages, 13 figures

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Cited by in corpus (36)

• Nuclear effective field theory: status and perspectives
• Universal properties of infrared oscillator basis extrapolations
• Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
• From bound states to the continuum
• Volume Dependence of N-Body Bound States
• Lattice methods for strongly interacting many-body systems
• Shell Model States in the Continuum
• Precise determination of lattice phase shifts and mixing angles
• Two and Three Nucleons in a Trap and the Continuum Limit
• Effective field theory in the harmonic oscillator basis
• Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
• Ab initio calculations of low-energy nuclear scattering using confining potential traps
• Coulomb corrections to two-particle interaction in artificial traps
• Extracting free-space observables from trapped interacting clusters
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Virial expansion coefficients in the harmonic approximation
• Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
• Chiral potential renormalized in harmonic-oscillator space
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• Quantum Statistics and Thermodynamics in the Harmonic Approximation
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• Effective interactions and operators in no-core shell model
• Scattering phase shifts from a quantum computer
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