Charge symmetry breaking effects of $ω$-$ρ^0$ mixing in relativistic mean-field model
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914102201286656 |
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| author | Tanimura, Yusuke Naito, Tomoya Sagawa, Hiroyuki Cheoun, Myung-Ki |
| author_facet | Tanimura, Yusuke Naito, Tomoya Sagawa, Hiroyuki Cheoun, Myung-Ki |
| contents | We present a relativistic mean-field model that incorporates charge symmetry breaking (CSB) of nuclear force via $ ω$-$ ρ^0 $ meson mixing, along with corrections to the electromagnetic interaction including the nucleon form factors, first-order vacuum polarization, and Coulomb exchange and pairing terms. The model parameters are refitted using the mass differences of $ T = 1/2 $ mirror nuclei and ground-state properties of magic nuclei, yielding DD-ME-CSB parameter set. The DD-ME-CSB parameter set reproduces the mass differences of mirror nuclei reasonably well up to $ T = 2 $, demonstrating the importance of $ ω$-$ ρ^0 $ mixing. A connection of the present model to a Skyrme-type CSB interaction is also established through a gradient expansion of the energy density functional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06629 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Charge symmetry breaking effects of $ω$-$ρ^0$ mixing in relativistic mean-field model Tanimura, Yusuke Naito, Tomoya Sagawa, Hiroyuki Cheoun, Myung-Ki Nuclear Theory We present a relativistic mean-field model that incorporates charge symmetry breaking (CSB) of nuclear force via $ ω$-$ ρ^0 $ meson mixing, along with corrections to the electromagnetic interaction including the nucleon form factors, first-order vacuum polarization, and Coulomb exchange and pairing terms. The model parameters are refitted using the mass differences of $ T = 1/2 $ mirror nuclei and ground-state properties of magic nuclei, yielding DD-ME-CSB parameter set. The DD-ME-CSB parameter set reproduces the mass differences of mirror nuclei reasonably well up to $ T = 2 $, demonstrating the importance of $ ω$-$ ρ^0 $ mixing. A connection of the present model to a Skyrme-type CSB interaction is also established through a gradient expansion of the energy density functional. |
| title | Charge symmetry breaking effects of $ω$-$ρ^0$ mixing in relativistic mean-field model |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2506.06629 |