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Yong-Jiang Xu

Publications and source records attributed to Yong-Jiang Xu.

7 recordsLinked to original sources

Scalar Triple-Heavy Tetraquark States With Quark Content $cc\bar{c}\bar{s}$

In this paper, we study the scalar triple-heavy tetraquark states with quark content $cc\bar{c}\bar{s}$, $η_{c}D_{s}$ molecular state and $[cc]_{A(T)}[\bar{c}\bar{s}]_{A(T)}$ compact tetraquark states, by the QCD sum rule method. First, we construct the needed interpolating currents, $J^{M}(x)$, $J^{T_{1}}(x)$, and $J^{T_{2}}(x)$. Then, we derive the sum rules for the masses and the current coupling constants. Finally, we numerically analyze these sum rules, and find $m_{M}=4.9392^{+0.0851}_{-0.0817}~\mbox{GeV}$, and $λ_{M}=2.8857^{+0.5729}_{-0.4928}\times10^{-2}~\mbox{GeV}^{5}$ for the mass and the current coupling constant of the $η_{c}D_{s}$ molecular state, $m_{T_{1}}=5.0774^{+0.0708}_{-0.0641}~\mbox{GeV}$, and $λ_{T_{1}}=1.0436^{+0.1862}_{-0.1573}\times10^{-1}~\mbox{GeV}^{5}$ for the mass and the current coupling constant of the $[cc]_{A}[\bar{c}\bar{s}]_{A}$ compact tetraquark state, $m_{T_{2}}=5.0679^{+0.0839}_{-0.0721}~\mbox{GeV}$, and $λ_{T_{2}}=2.0316^{+0.4119}_{-0.3119}\times10^{-1}~\mbox{GeV}^{5}$ for the mass and the current coupling constant of the $[cc]_{T}[\bar{c}\bar{s}]_{T}$ compact tetraquark state.

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P-wave $Ω_{b}$ states: masses and pole residues

In this paper, we consider all P-wave $Ω_{b}$ states represented by interpolating currents with a derivative and calculate the corresponding masses and pole residues with the method of QCD sum rule. Due to the large uncertainties in our calculation compared with the small difference in the masses of the excited $Ω_{b}$ states observed by the LHCb collaboration, it is necessary to study other properties of the P-wave $Ω_{b}$ states represented by the interpolating currents investigated in the present work in order to have a better understanding about the four excited $Ω_{b}$ states observed by the LHCb collaboration.

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$\bar{D}^{(*)}_{s}D^{(*)}$ molecular state with $J^{P}=1^{+}$

In this paper, we construct $\bar{D}^{(*)}_{s}D^{(*)}$-molecule-type interpolating currents $J_{(\pm)μ}(x)$ with $J^{P}=1^{+}$, calculate the corresponding mass and magnetic moment using the QCD sum rule method and its extension in the weak electromagnetic field, and study the processes of $Z_{(\pm)cs}$ to $η_{c}K^{*}$, $J/ψK$, $\bar{D}D^{*}_{s}$, and $\bar{D}^{*}D_{s}$ via three-point sum rules. The numerical values are $m_{Z_{(\pm)cs}}=3.99^{+0.17}_{-0.14}~\mbox{GeV}$, and $λ_{Z_{(\pm)cs}}=2.07^{+0.28}_{-0.16}\times10^{-2}~\mbox{GeV}^{5}$, $μ_{Z_{(\pm)cs}}=0.18^{+0.16}_{-0.09}~μ_{N}$ with $μ_{N}$ the nucleon magneton, $Γ_{Z_{(+)cs}}=17.47^{+12.70}_{-8.08}$, and $Γ_{Z_{(-)cs}}=13.86^{+10.37}_{-6.51}$. The masses are in agreement with the recently measured value of $Z_{cs}(3985)$ by the BESIII Collaboration, $m^{exp}_{Z_{cs}}=(3982.5^{+1.8}_{-2.6}\pm2.1)~\mbox{MeV}$. The widths are compatible with the experimental value, $Γ^{exp}_{Z_{cs}}=(12.8^{+5.3}_{-4.4}\pm3.0)~\mbox{MeV}$. The magnetic moment and the various decay modes can help us to determine the inner structure of $Z_{cs}(3985)$ when being confronted with experimental data in the future.

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The magnetic moment of $P_{c}(4312)$ as a $\bar{D}Σ_{c}$ molecular state

In this paper, we tentatively assign the $P_{c}(4312)$ to be a $\bar{D}Σ_{c}$ molecular state with quantum number $J^{P}=\frac{1}{2}^{-}$, and calculate its magnetic moment using the QCD sum rule method in external weak electromagnetic field. Starting with the two-point correlation function in external electromagnetic field and expanding it in power of the electromagnetic interaction Hamiltonian, we extract the magnetic moment from the linear response to the external electromagnetic field. The numerical value of the magnetic moment of $P_{c}(4312)$ is $μ_{P_{c}}=1.75^{+0.15}_{-0.11}$.

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The magnetic moment of $Z_{c}(3900)$ as an axial-vector molecular state

In this paper, we tentatively assign $Z_{c}(3900)$ to be an axialvector molecular state, and calculate its magnetic moment using the QCD sum rule method in external weak electromagnetic field. Starting with the two-point correlation function in external electromagnetic field and expanding it in power of the electromagnetic interaction Hamiltonian, we extract the mass and pole residue of $Z_{c}(3900)$ state from the leading term in the expansion and the magnetic moment from the linear response to the external electromagnetic field. The numerical values are $m_{Z_{c}}=3.97\pm0.12\mbox{GeV}$ in agreement with the experimental value $m^{exp}_{Z_{c}}=3899.0\pm3.6\pm4.9\mbox{MeV}$, $λ_{Z_{c}}=2.1\pm0.4\times10^{-2}\mbox{GeV}^{5}$ and $μ_{Z_{c}}=0.19^{+0.04}_{-0.01}μ_{N}$.

hep-ph↗

Partial decay widths of $P_{c}(4312)$ as a $\bar{D}Σ_{c}$ molecular state

In the present work, the partial decay widths of $P_{c}(4312)$ to $η_{c} p$ and $J/ψp$ are investigated with the QCD sum rule method under the assumption that $P_{c}(4312)$ is a $\bar{D}Σ_{c}$ molecular state with $J^{P}=\frac{1}{2}^{-}$. In the analysis, the pole residue of $P_{c}(4312)$, one of the input parameters for the calculations of the strong decay constants, is calculated first. With the numerical values of the strong decay constants, the partial decay widths to $η_{c} p$ and $J/ψp$ are estimated to be $Γ(P_{c}(4312)\rightarrow η_{c} p)=5.54^{+0.75}_{-0.5}\mbox{MeV}$ and $Γ(P_{c}(4312)\rightarrow J/ψp)=1.67^{+0.92}_{-0.56}\mbox{MeV}$, respectively, which are compatible with the measured total width of $P_{c}(4312)$. The results suggest that it is reasonable to assign $P_{c}(4312)$ to be a $\bar{D}Σ_{c}$ molecular state with $J^{P}=\frac{1}{2}^{-}$.

hep-ph↗

The temperature dependence of the decuplet baryon masses from thermal QCD sum rules

In the present work, the masses of the decuplet baryons at finite temperature are investigated using thermal QCD sum rules. Making use of the quark propagator at finite temperature, we calculate the spectral functions to $T^{8}$ order, and find that there are no contributions to the spectral functions at $T^{8}$ order and the temperature corrections mainly come from that containing $T^4$ ones. The calculations show very little temperature dependence of the masses below $T=0.11{GeV}$. While above that value, the masses decrease with increasing temperature. The results indicate that the hadron-quark phase transition temperature may be $T_c\geq0.11{GeV}$ for the decuplet bayons.

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