<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mn>1</mml:mn><mml:mrow><mml:mo>?</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math> hybrid meson in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi><mml:mo stretchy="false">/</mml:mo><mml:mi>?</mml:mi></mml:math> radiative decays from lattice QCD
نویسندگان
چکیده
We present the first theoretical prediction of production rate $1^{-+}$ light hybrid meson $\eta_1$ in $J/\psi$ radiative decays. In $N_f=2$ lattice QCD formalism with pion mass $m_\pi\approx 350$ MeV, related electromagnetic multipole form factors are extracted from three-point functions that involve necessarily quark annihilation diagrams, which calculated through distillation method. The partial width $J/\psi\to \gamma \eta_1$ is determined to be $2.29(77)~\mathrm{eV}$ at $m_{\eta_1}=2.23(4)$ GeV. If corresponds recently observed $\eta_1(1855)$ process \gamma\eta_1(1855)\to \eta\eta'$ by BESIII, then branching fraction $\mathrm{Br}(J/\psi\to \gamma\eta_1(1855))$ estimated $6.2(2.2)\times 10^{-5}$, implies $\mathrm{Br}(\eta_1(1855)\to \eta\eta')\sim 4.3\%$.
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ژورنال
عنوان ژورنال: Physical review
سال: 2023
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevd.107.054511