Revisit the diquark of $Λ_c$ in the $Λ_c\to ΛK^+$ and $Λ_c\to Σ^0 K^+$ processes
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| Format: | Preprint |
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2025
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| _version_ | 1866916829308387328 |
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| author | Niu, Peng-Yu Wang, Qian Zhao, Qiang |
| author_facet | Niu, Peng-Yu Wang, Qian Zhao, Qiang |
| contents | The spatial distributions of $[ud]$ diquark and heavy-light diquark of the SU(3)-flavor antitriplet charmed baryons are investigated by the two singly Cabibbo-suppressed hadronic weak decays, $Λ_c\to ΛK^+$ and $Λ_c\to Σ^0 K^+$ within the nonrelativistic constituent quark model. The above two spatial distributions are reflected by the two parameters $α_ρ$ and $α_λ$, which are the harmonic oscillator strength parameters of the charmed baryons. These two parameters obtain strong constraints from the decay widths of $Λ_c\to ΛK^+$ and $Λ_c\to Σ^0 K^+$. The larger the harmonic oscillator parameter is, the more compact the spatial distribution will become. The current $α_ρ$ and $α_λ$ indicate that neither the light diquark nor the heavy-light diquark turns out to favor a compact structure. In addition, some selection rules, including the ``$Λ$ selection rule'', can be useful for the search of excited baryons in the heavy-flavor baryon hadronic weak decays. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_04393 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisit the diquark of $Λ_c$ in the $Λ_c\to ΛK^+$ and $Λ_c\to Σ^0 K^+$ processes Niu, Peng-Yu Wang, Qian Zhao, Qiang High Energy Physics - Phenomenology The spatial distributions of $[ud]$ diquark and heavy-light diquark of the SU(3)-flavor antitriplet charmed baryons are investigated by the two singly Cabibbo-suppressed hadronic weak decays, $Λ_c\to ΛK^+$ and $Λ_c\to Σ^0 K^+$ within the nonrelativistic constituent quark model. The above two spatial distributions are reflected by the two parameters $α_ρ$ and $α_λ$, which are the harmonic oscillator strength parameters of the charmed baryons. These two parameters obtain strong constraints from the decay widths of $Λ_c\to ΛK^+$ and $Λ_c\to Σ^0 K^+$. The larger the harmonic oscillator parameter is, the more compact the spatial distribution will become. The current $α_ρ$ and $α_λ$ indicate that neither the light diquark nor the heavy-light diquark turns out to favor a compact structure. In addition, some selection rules, including the ``$Λ$ selection rule'', can be useful for the search of excited baryons in the heavy-flavor baryon hadronic weak decays. |
| title | Revisit the diquark of $Λ_c$ in the $Λ_c\to ΛK^+$ and $Λ_c\to Σ^0 K^+$ processes |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.04393 |