Separation energies of light $Λ$ hypernuclei and their theoretical uncertainties
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
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2023
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| _version_ | 1866917606973243392 |
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| author | Le, Hoai Haidenbauer, Johann Meißner, Ulf-G. Nogga, Andreas |
| author_facet | Le, Hoai Haidenbauer, Johann Meißner, Ulf-G. Nogga, Andreas |
| contents | Separation energies of light $Λ$ hypernuclei ($A\leq 5$) and their theoretical uncertainties are investigated. Few-body calculations are performed within the Faddeev-Yakubovsky scheme and the no-core shell model. Thereby, modern and up-to-date $N\!N$ and $Y\!N$ potentials derived within chiral effective field theory are employed. % It is found that the numerical uncertainties of the few-body methods are well under control and an accuracy of around $1$ keV for the hypertriton and of less than $20$ keV for the separation energies of the $^4_Λ\mathrm{He}$ and $^5_Λ\mathrm{He}$ hypernuclei can be achieved. Variations caused by differences in the $N\!N$ interaction are in the order of $10$ keV for $^3_Λ\mathrm{H}$ and no more than $110$ keV for $A=4,\,5$ $Λ$ hypernuclei, when recent high-precision potentials up to fifth order in the chiral expansion are employed. The variations are smaller than expected contributions from chiral $Y\!N\!N$ three-body forces (3BFs) which arise at the chiral order of state-of-the-art $Y\!N$ potentials. Estimates for those 3BFs are deduced from a study of the truncation uncertainties in the chiral expansion. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_01756 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Separation energies of light $Λ$ hypernuclei and their theoretical uncertainties Le, Hoai Haidenbauer, Johann Meißner, Ulf-G. Nogga, Andreas Nuclear Theory Separation energies of light $Λ$ hypernuclei ($A\leq 5$) and their theoretical uncertainties are investigated. Few-body calculations are performed within the Faddeev-Yakubovsky scheme and the no-core shell model. Thereby, modern and up-to-date $N\!N$ and $Y\!N$ potentials derived within chiral effective field theory are employed. % It is found that the numerical uncertainties of the few-body methods are well under control and an accuracy of around $1$ keV for the hypertriton and of less than $20$ keV for the separation energies of the $^4_Λ\mathrm{He}$ and $^5_Λ\mathrm{He}$ hypernuclei can be achieved. Variations caused by differences in the $N\!N$ interaction are in the order of $10$ keV for $^3_Λ\mathrm{H}$ and no more than $110$ keV for $A=4,\,5$ $Λ$ hypernuclei, when recent high-precision potentials up to fifth order in the chiral expansion are employed. The variations are smaller than expected contributions from chiral $Y\!N\!N$ three-body forces (3BFs) which arise at the chiral order of state-of-the-art $Y\!N$ potentials. Estimates for those 3BFs are deduced from a study of the truncation uncertainties in the chiral expansion. |
| title | Separation energies of light $Λ$ hypernuclei and their theoretical uncertainties |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2308.01756 |