Finite-volume energy shift of the three-nucleon ground state

TL;DR

This paper presents a perturbative calculation of the three-nucleon ground-state energy shift in a finite volume using non-relativistic effective theory, including terms up to order L^{-6}, and examines the series convergence at physical scattering lengths.

Contribution

It provides a detailed perturbative framework for calculating three-nucleon energy shifts in finite volumes, extending previous methods to higher order terms.

Findings

Energy shift evaluated up to order L^{-6}

Numerical analysis of series convergence at physical scattering lengths

Framework applicable to lattice QCD simulations

Abstract

A perturbative calculation of the three-nucleon ground-state energy shift in a finite volume is carried out within the non-relativistic effective theory. The energy shift is evaluated up to and including $\mathcal{O}(L^{-6})$, where $L$ is the size of a cubic box. The convergence of the perturbative series at physical values of the scattering lengths is studied numerically.