Dilated coordinate method for solving nuclear lattice effective field theory
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918143029411840 |
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| author | He, Guangzhao Zhang, Zhenyu Wang, Teng Wang, Qian Lu, Bing-Nan |
| author_facet | He, Guangzhao Zhang, Zhenyu Wang, Teng Wang, Qian Lu, Bing-Nan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_13967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dilated coordinate method for solving nuclear lattice effective field theory He, Guangzhao Zhang, Zhenyu Wang, Teng Wang, Qian Lu, Bing-Nan Nuclear Theory High Energy Physics - Lattice 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. |
| title | Dilated coordinate method for solving nuclear lattice effective field theory |
| topic | Nuclear Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2509.13967 |