Chiral Structure and Selection Rules in Light-Front Nucleon-Pentaquark Mixing
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| Format: | Preprint |
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2026
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| author | He, Fangcheng Shuryak, Edward Wu, Wan Zahed, Ismail |
| author_facet | He, Fangcheng Shuryak, Edward Wu, Wan Zahed, Ismail |
| contents | We present a light-front Hamiltonian analysis of nucleon-pentaquark mixing induced by $σ$- and $π$-type transition operators in a fully Pauli-consistent five-quark basis. The pentaquark configurations are constructed using a systematic permutation-group classification of orbital, spin-flavor, and color degrees of freedom, and the hyperfine interaction is diagonalized to obtain orthonormal eigenchannels with definite quantum numbers. We compute the mixing coefficients for all 27 positive-parity $P$-wave pentastates and find a highly sparse structure: only 6 channels contribute to the nucleon wave function, while the remaining 21 vanish due to symmetry selection rules. The nonzero contributions are concentrated in a small set of hyperfine eigenchannels, demonstrating a strong dominance pattern. The $σ$- and $π$-induced amplitudes populate the same subset of states and are related by a fixed phase, reflecting their common chiral structure, which eliminates interference in the normalization. As a result, their contributions add incoherently, yielding a total five-quark probability of about $29\%$, with the remaining $71\%$ residing in the three-quark core. These results show that nucleon-pentaquark mixing is governed primarily by symmetry selection rules and chiral structure, and that the five-quark content is dominated by a small number of dynamically selected channels. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_09840 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Chiral Structure and Selection Rules in Light-Front Nucleon-Pentaquark Mixing He, Fangcheng Shuryak, Edward Wu, Wan Zahed, Ismail High Energy Physics - Phenomenology We present a light-front Hamiltonian analysis of nucleon-pentaquark mixing induced by $σ$- and $π$-type transition operators in a fully Pauli-consistent five-quark basis. The pentaquark configurations are constructed using a systematic permutation-group classification of orbital, spin-flavor, and color degrees of freedom, and the hyperfine interaction is diagonalized to obtain orthonormal eigenchannels with definite quantum numbers. We compute the mixing coefficients for all 27 positive-parity $P$-wave pentastates and find a highly sparse structure: only 6 channels contribute to the nucleon wave function, while the remaining 21 vanish due to symmetry selection rules. The nonzero contributions are concentrated in a small set of hyperfine eigenchannels, demonstrating a strong dominance pattern. The $σ$- and $π$-induced amplitudes populate the same subset of states and are related by a fixed phase, reflecting their common chiral structure, which eliminates interference in the normalization. As a result, their contributions add incoherently, yielding a total five-quark probability of about $29\%$, with the remaining $71\%$ residing in the three-quark core. These results show that nucleon-pentaquark mixing is governed primarily by symmetry selection rules and chiral structure, and that the five-quark content is dominated by a small number of dynamically selected channels. |
| title | Chiral Structure and Selection Rules in Light-Front Nucleon-Pentaquark Mixing |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2605.09840 |