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• W2945135936 abstract "In this work, we calculate the nonrelativistic asymptotic behavior of the amplitudes of $qoverline{q}ensuremath{rightarrow}2gensuremath{rightarrow}qoverline{q}$ in the leading order of ${ensuremath{alpha}}_{s}$ with $qoverline{q}$ in the ${^{3}P}_{J}$ channels. In the practical calculation we take the momenta of quarks and antiquarks on shell and expand the amplitudes on the three-momentum of the quarks and antiquarks to order 6 and get three nonzero terms. The imaginary parts of the results are comparable with the known nonrelativistic QCD results. The real parts of the results have IR divergence. When applying the results to the heavy quarkonia, the corresponding amplitude of $qoverline{q}ensuremath{rightarrow}1gensuremath{rightarrow}qoverline{q}$ with $qoverline{q}$ in the color octet $^{3}{S}_{1}$ channel is considered to absorb the IR divergence in a unitary way in the leading order of $v$. The final results can be used to estimate the mass shifts of the ${^{3}P}_{J}$ heavy quarkonia due to the effect of two-gluon annihilation. The numerical estimation shows that the contributions to the mass shifts of ${ensuremath{chi}}_{c0,c1,c2}$ are about $1.23ensuremath{sim}1.58text{ }mathrm{MeV}$, $1.57ensuremath{sim}1.86text{ }mathrm{MeV}$, and $5.92ensuremath{sim}5.45text{ }text{ }mathrm{MeV}$ when taking ${ensuremath{alpha}}_{s}ensuremath{approx}0.25ensuremath{sim}0.35$." @default.
• W2945135936 created "2019-05-29" @default.
• W2945135936 creator A5084742649 @default.
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• W2945135936 date "2019-11-08" @default.
• W2945135936 modified "2023-09-28" @default.
• W2945135936 title "Mass shifts of P3J heavy quarkonia due to the effect of two-gluon annihilation" @default.
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• W2945135936 doi "https://doi.org/10.1103/physrevd.100.094004" @default.
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