Non-perturbative three-nucleon simulation using chiral lattice EFT
| Autor: | Bovermann, Lukas, Epelbaum, Evgeny, Krebs, Hermann, Lee, Dean |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We study the three-nucleon system at next-to-next-to-next-to-leading order ($\mathrm{N^3LO}$) in the framework of chiral effective field theory (EFT) on the lattice. Our calculations do not rely on a perturbative treatment of subleading contributions to the nuclear forces. For the two-nucleon potential, we apply the previously developed $\mathrm{N^3LO}$ lattice interaction. For the leading contribution to the three-nucleon force, we determine the two low-energy constants (LECs) in the contact interactions by adjusting the ground state energy and half-life of triton, where the latter employs the nuclear axial current at $\mathrm{N^2LO}$ in chiral EFT. Additionally, the ground state energy of helion and the charge radii of the two considered nuclei are computed. No effect of the smearing regularization in the three-nucleon contact interaction is observed here. We compare our results with recent lattice-EFT calculations that are based on a potential tuned to light and medium-mass nuclei using the wave-function-matching technique to circumvent the Monte-Carlo sign problem. Comment: 8 pages, 1 figure, 1 table, to be published in proceedings of the 11th International Workshop on Chiral Dynamics - CD2024 |
| Databáze: | arXiv |
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