Constraints on $ΛN$ Effective Interactions from Mirror Hypernuclei in a Deformed Relativistic Hartree-Bogoliubov Model
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| Format: | Preprint |
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2025
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| _version_ | 1866915346696372224 |
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| author | Rong, Yu-Ting Yang, Dan Xia, Cheng-Jun Sun, Ting-Ting |
| author_facet | Rong, Yu-Ting Yang, Dan Xia, Cheng-Jun Sun, Ting-Ting |
| contents | We investigate the ground-state properties of four mirror hypernuclei pairs--$^{10}_Λ$Be-$^{10}_Λ$B, $^{12}_Λ$B-$^{12}_Λ$C, $^{16}_Λ$N-$^{16}_Λ$O, and $^{40}_Λ$K-$^{40}_Λ$Ca--within the deformed relativistic Hartree-Bogoliubov framework, analyzing their connection to $ΛN$ effective interactions. Systematic calculations with eight distinct effective interactions reveal linear correlations between mirror hypernuclei in $Λ$ separation energies and charge radii. The charge symmetry breaking effects, quantified through $Λ$ separation energy differences, exhibit a positive correlation with the SU(3) flavor symmetry violation. We emphasize that constraints derived from $A=10$ and $A=12$ hypernuclear pairs must explicitly incorporate rotational energy correction effects. Precision measurements of the (near) spherical $A=16$ and $A=40$ mirror systems are proposed as critical benchmarks for refining the isospin part of the hyperon-nucleon interactions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_13499 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constraints on $ΛN$ Effective Interactions from Mirror Hypernuclei in a Deformed Relativistic Hartree-Bogoliubov Model Rong, Yu-Ting Yang, Dan Xia, Cheng-Jun Sun, Ting-Ting Nuclear Theory We investigate the ground-state properties of four mirror hypernuclei pairs--$^{10}_Λ$Be-$^{10}_Λ$B, $^{12}_Λ$B-$^{12}_Λ$C, $^{16}_Λ$N-$^{16}_Λ$O, and $^{40}_Λ$K-$^{40}_Λ$Ca--within the deformed relativistic Hartree-Bogoliubov framework, analyzing their connection to $ΛN$ effective interactions. Systematic calculations with eight distinct effective interactions reveal linear correlations between mirror hypernuclei in $Λ$ separation energies and charge radii. The charge symmetry breaking effects, quantified through $Λ$ separation energy differences, exhibit a positive correlation with the SU(3) flavor symmetry violation. We emphasize that constraints derived from $A=10$ and $A=12$ hypernuclear pairs must explicitly incorporate rotational energy correction effects. Precision measurements of the (near) spherical $A=16$ and $A=40$ mirror systems are proposed as critical benchmarks for refining the isospin part of the hyperon-nucleon interactions. |
| title | Constraints on $ΛN$ Effective Interactions from Mirror Hypernuclei in a Deformed Relativistic Hartree-Bogoliubov Model |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2506.13499 |