Decay properties of light $1^{-+}$ hybrids
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2024
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| _version_ | 1866913691926003712 |
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| author | Liang, Juzheng Chen, Siyang Chen, Ying Shi, Chunjiang Sun, Wei |
| author_facet | Liang, Juzheng Chen, Siyang Chen, Ying Shi, Chunjiang Sun, Wei |
| contents | We explore the decay properties of the isovector and isoscalar $1^{-+}$ light hybrids, $π_1$ and $η_1$, in $N_f=2$ lattice QCD at a pion mass $m_π\approx 417~\mathrm{MeV}$. The McNeile and Michael method is adopted to extract the effective couplings for individual decay modes, which are used to estimate the partial decay widths of $π_1(1600)$ and $η_1(1855)$ by assuming SU(3) symmetry. The partial decay widths of $π_1(1600)$ are predicted to be $(Γ_{b_1π}, Γ_{f_1(1285)π}, Γ_{ρπ}, Γ_{K^*\bar{K}}) = (325 \pm 75, \mathcal{O}(10), 52 \pm 7, 8.6 \pm 1.3)~\mathrm{MeV}$, and the total width is estimated to be $396 \pm 90~\mathrm{MeV}$, considering only statistical errors. If $η_1(1855)$ and the $4.4σ$ signal observed by BESIII (labeled as $η_1(2200)$) are taken as the two mass eigenstates of the isoscalar $1^{-+}$ light hybrids in SU(3), then the dominant decay channel(s) of $η_1(1855)$ ($η_1(2200)$) is $K_1(1270)\bar{K}$ ($K_1(1270)\bar{K}$ and $K_1(1400)\bar{K}$) through the $1^{+(-)}0^{-(+)}$ mode. The vector-vector decay modes are also significant for the two $η_1$ states. Using the mixing angle $α\approx 22.7^\circ$ obtained from lattice QCD for the two $η_1$ states, the total widths are estimated to be $Γ_{η_1(1855)}=282(85)~\mathrm{MeV}$ and $Γ_{η_1(2200)}=455(143)~\mathrm{MeV}$. The former is compatible with the experimental width of $η_1(1855)$. Although many systematic uncertainties are not well controlled, these results are qualitatively informative for the experimental search for light hybrids. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_14410 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Decay properties of light $1^{-+}$ hybrids Liang, Juzheng Chen, Siyang Chen, Ying Shi, Chunjiang Sun, Wei High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology We explore the decay properties of the isovector and isoscalar $1^{-+}$ light hybrids, $π_1$ and $η_1$, in $N_f=2$ lattice QCD at a pion mass $m_π\approx 417~\mathrm{MeV}$. The McNeile and Michael method is adopted to extract the effective couplings for individual decay modes, which are used to estimate the partial decay widths of $π_1(1600)$ and $η_1(1855)$ by assuming SU(3) symmetry. The partial decay widths of $π_1(1600)$ are predicted to be $(Γ_{b_1π}, Γ_{f_1(1285)π}, Γ_{ρπ}, Γ_{K^*\bar{K}}) = (325 \pm 75, \mathcal{O}(10), 52 \pm 7, 8.6 \pm 1.3)~\mathrm{MeV}$, and the total width is estimated to be $396 \pm 90~\mathrm{MeV}$, considering only statistical errors. If $η_1(1855)$ and the $4.4σ$ signal observed by BESIII (labeled as $η_1(2200)$) are taken as the two mass eigenstates of the isoscalar $1^{-+}$ light hybrids in SU(3), then the dominant decay channel(s) of $η_1(1855)$ ($η_1(2200)$) is $K_1(1270)\bar{K}$ ($K_1(1270)\bar{K}$ and $K_1(1400)\bar{K}$) through the $1^{+(-)}0^{-(+)}$ mode. The vector-vector decay modes are also significant for the two $η_1$ states. Using the mixing angle $α\approx 22.7^\circ$ obtained from lattice QCD for the two $η_1$ states, the total widths are estimated to be $Γ_{η_1(1855)}=282(85)~\mathrm{MeV}$ and $Γ_{η_1(2200)}=455(143)~\mathrm{MeV}$. The former is compatible with the experimental width of $η_1(1855)$. Although many systematic uncertainties are not well controlled, these results are qualitatively informative for the experimental search for light hybrids. |
| title | Decay properties of light $1^{-+}$ hybrids |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2409.14410 |