Spectrum of light nuclei in a finite volume

Lattice quantum chromodynamics calculations of multibaryon systems with physical quark masses would start a new age ab initio predictions in nuclear physics. Performed on finite grid, such demand extrapolation their finite-volume numerical results to free-space quantities. Such extraction the information can be carried out fitting effective field theories (EFTs) directly or utilizing L\"uscher formula its generalizations for extrapolating lattice data infinite volume. To understand better effect periodic boundary conditions binding energy few-nucleon we explore here light nuclei box and free space. The stochastic variational method is used solve few-body systems. Substantial optimizations are introduced enable efficient box. With optimized code, perform accurate $A\ensuremath{\le}4$ within leading-order pionless EFT. Using two-body system, generalization three- four-body systems, examine possible limitations these formulas considered