Applying Twisted Boundary Conditions for Few-body Nuclear Systems

Abstract

We describe and implement twisted boundary conditions for the deuteron and triton systems within finite-volumes using the nuclear lattice EFT formalism. We investigate the finite-volume dependence of these systems with different twists angles. We demonstrate how various finite-volume information can be used to improve calculations of binding energies in such a framework. Our results suggests that with appropriate twisting of boundaries, infinite-volume binding energies can be reliably extracted from calculations using modest volume sizes with cubic length $L\approx 8-14$ fm. Of particular importance is our derivation and numerical verification of three-body analogue of `i-periodic' twist angles that eliminate the leading order finite-volume effects to the three-body binding energy.

29 pages, 11 figures

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• Light Nuclei and Hypernuclei from Quantum Chromodynamics in the Limit of SU(3) Flavor Symmetry
• Evidence for a Bound H-dibaryon from Lattice QCD
• Two Nucleon Systems at $m_{\pi }\sim 450\mathrm{MeV}$ from Lattice QCD
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Cited by in corpus (14)

• Hadronic molecules
• Scattering processes and resonances from lattice QCD
• Volume Dependence of N-Body Bound States
• Ab initio nuclear thermodynamics
• Finite-volume effects due to spatially non-local operators
• Extrapolating Lattice QCD Results using Effective Field Theory
• Few-body bound states and resonances in finite volume
• The Tjon Band in Nuclear Lattice Effective Field Theory
• Exponential reduction of finite volume effects with twisted boundary conditions
• Lattice Effective Field Theory Simulations of Nuclei
• Breaking and restoration of rotational symmetry in the low-energy spectrum of light alpha-conjugate nuclei on the lattice I: ${}^8\mathrm{Be}$ and ${}^{12}\mathrm{C}$
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Continuum damping effects in nuclear collisions associated with twisted boundary conditions
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations