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    Dilated coordinate method for solving nuclear lattice effective field theory

    Guangzhao He1,2,3, Zhenyu Zhang1,2,3, Teng Wang4, Qian Wang1,3,5,*, and Bing-Nan Lu6,†

    • *Contact author: qianwang@m.scnu.edu.cn
    • †Contact author: bnlv@gscaep.ac.cn

    Phys. Rev. C 113, 034001 – Published 16 March, 2026

    DOI: https://doi.org/10.1103/19cb-3svl

    Abstract

    We introduce a dilated coordinate method to address computational challenges in nuclear lattice effective field theory 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 ab initio studies of exotic nuclear systems near the dripline and light hypernuclei, with direct extensions to scattering and reaction processes.

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