English

Dilated coordinate method for solving nuclear lattice effective field theory

Nuclear Theory 2025-09-18 v1 High Energy Physics - Lattice

Abstract

We introduce a dilated coordinate method to address computational challenges in nuclear lattice effective field theory (NLEFT) for weakly-bound few-body systems. The approach employs adaptive mesh refinement via analytic coordinate transformations, dynamically adjusting spatial resolution to resolve short-range nuclear interactions with fine grids while efficiently capturing long-range wave function tails with coarse grids. Numerical demonstrations for two- and three-body systems confirm accelerated convergence towards infinite-volume limit compared to uniform lattices, particularly beneficial for accessing highly excited states and shallow bound states near the continuum threshold. This method establishes a foundation for \textit{ab initio} studies of exotic nuclear systems near the dripline and light hypernuclei, with direct extensions to scattering and reaction processes.

Keywords

Cite

@article{arxiv.2509.13967,
  title  = {Dilated coordinate method for solving nuclear lattice effective field theory},
  author = {Guangzhao He and Zhenyu Zhang and Teng Wang and Qian Wang and Bing-Nan Lu},
  journal= {arXiv preprint arXiv:2509.13967},
  year   = {2025}
}

Comments

11 pages, 11 figures

R2 v1 2026-07-01T05:41:53.644Z