Lattice calculation of the Sn isotopes near the proton dripline
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866909780301316096 |
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| author | Hildenbrand, Fabian Elhatisari, Serdar Meißner, Ulf-G. Meyer, Helen Ren, Zhengxue Herten, Andreas Bode, Mathis |
| author_facet | Hildenbrand, Fabian Elhatisari, Serdar Meißner, Ulf-G. Meyer, Helen Ren, Zhengxue Herten, Andreas Bode, Mathis |
| contents | We present the first $\textit{ab initio}$ lattice calculations of the proton-rich tin isotopes $^{99}$Sn to $^{102}$Sn using nuclear lattice effective field theory with high-fidelity two- and three-nucleon forces. For a given set of three-nucleon couplings, we reproduce binding energies with $\sim 1\%$ accuracy for the even-even systems, and obtain energy splitting and two-nucleon separation energies in agreement with experiment. Our results confirm the $N=50$ shell closure and reveal that the binding energy of $^{99}$Sn lies below values extrapolated from heavier isotopes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_08579 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lattice calculation of the Sn isotopes near the proton dripline Hildenbrand, Fabian Elhatisari, Serdar Meißner, Ulf-G. Meyer, Helen Ren, Zhengxue Herten, Andreas Bode, Mathis Nuclear Theory High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment We present the first $\textit{ab initio}$ lattice calculations of the proton-rich tin isotopes $^{99}$Sn to $^{102}$Sn using nuclear lattice effective field theory with high-fidelity two- and three-nucleon forces. For a given set of three-nucleon couplings, we reproduce binding energies with $\sim 1\%$ accuracy for the even-even systems, and obtain energy splitting and two-nucleon separation energies in agreement with experiment. Our results confirm the $N=50$ shell closure and reveal that the binding energy of $^{99}$Sn lies below values extrapolated from heavier isotopes. |
| title | Lattice calculation of the Sn isotopes near the proton dripline |
| topic | Nuclear Theory High Energy Physics - Lattice High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2509.08579 |