Quantum Monte Carlo calculations of two neutrons in finite volume

Abstract

Ab initio calculations provide direct access to the properties of pure neutron systems that are challenging to study experimentally. In addition to their importance for fundamental physics, their properties are required as input for effective field theories of the strong interaction. In this work, we perform auxiliary-field diffusion Monte Carlo calculations of the ground and first excited state of two neutrons in a finite box, considering a simple contact potential as well as chiral effective field theory interactions. We compare the results against exact diagonalizations and present a detailed analysis of the finite-volume effects, whose understanding is crucial for determining observables from the calculated energies. Using the Lüscher formula, we extract the low-energy S-wave scattering parameters from ground- and excited-state energies for different box sizes.

11 pages, 8 figures

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Cited by in corpus (15)

• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Towards grounding nuclear physics in QCD
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• Signatures of few-body resonances in finite volume
• New Ideas in Constraining Nuclear Forces
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Analyzing the Fierz Rearrangement Freedom for Local Chiral Two-Nucleon Potentials
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Ground state baryons in the flux-tube three-body confinement model using Diffusion Monte Carlo
• Three-body resonances in pionless effective field theory
• Few-body bound states and resonances in finite volume
• Small Bits of Cold Dense Matter
• Auxiliary Field Quantum Monte Carlo for Dilute Neutrons on the Lattice
• Ab initio study of the neutron and Fermi polarons on the lattice