arXiv subjects

Xiurong Guo

Publications and source records attributed to Xiurong Guo.

5 recordsLinked to original sources

arXiv2025

Unstable molecular state with unstable constituent

Based on the developed Bethe-Salpeter theory for dealing with unstable state, we investigate unstable meson-meson molecular state in which at least one of the constituents is an unstable meson and provide a reasonable and feasible scheme to deal with this interesting problem in the framework of relativistic quantum field theory. The developed Bethe-Salpeter theory is applied to investigate the unstable meson composed of a quark and an antiquark, and we obtain the Green's function for unstable meson in the framework of relativistic quantum field theory, which is used to deal with unstable constituent of molecular state. We can obtain the physical mass and width of unstable molecular state composed of two heavy mesons, which contain the contribution from at least one unstable constituent of molecular state.

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arXiv2025

Mass and width of $T_{c\bar c}(4020)$ in the developed Bethe-Salpeter theory

In experiments exotic meson resonance $T_{c\bar c}(4020)$ lies above the $D^{*}\bar{D}^{*}$ threshold, and in principle one can not explain $T_{c\bar c}(4020)$ as a meson-meson bound state because meson-meson bound state must lie below the $D^{*}\bar{D}^{*}$ threshold. In this work, exotic resonance $T_{c\bar c}(4020)$ is considered as an unstable meson-meson molecular state $D^{*}\bar{D}^{*}$, and the developed Bethe-Salpeter theory for dealing with unstable state is applied to investigate resonance $T_{c\bar c}(4020)$. We calculate the mass and width of unstable meson-meson molecular state $D^{*}\bar{D}^{*}$ in the framework of relativistic quantum field theory and find that this unstable meson-meson molecular state lies above the $D^{*}\bar{D}^{*}$ threshold, which is consistent with experimental values of resonance $T_{c\bar c}(4020)$.

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arXiv2023

Calculation of mass and width of unstable molecular state using the developed Bethe-Salpeter theory

Applying the developed Bethe-Salpeter theory for dealing with resonance, we investigate the time evolution of molecular state composed of two vector mesons as determined by the total Hamiltonian. Then exotic meson resonance $χ_{c0}(3915)$ is considered as a mixed state of two unstable molecular states $D^{*0}\bar{D}^{*0}$ and $D^{*+}D^{*-}$, and the mass and width for physical resonance $χ_{c0}(3915)$ are calculated in the framework of relativistic quantum field theory. In this actual calculation, we minutely show how to obtain the correction for energy level of resonance and to exhibit the key features of dispersion relation in an extended Feynman diagram. The numerical results are consistent with the experimental values.

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arXiv2018

Radiative decay of hadronic molecule state for quarks

Using the general form of the generalized Bethe-Salpeter wave functions for four-quark states describing the meson-meson molecular structure given in our previous work, we obtain the general formulas for the decay widths of molecular states composed of two vector mesons with arbitrary spin and parity into two photons. Then this general formalism is applied to investigate the radiative two-photon decay of the obeserved \emph{X}(3915) state, where this exotic state \emph{X}(3915) is considered as a molecular state consisting of two heavy vector mesons $D^{*0}\bar{D}^{*0}$. The numerical result of decay mode $\emph{X}(3915)\rightarrow γγ$ is consistent with the experimental values.

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arXiv2015

Mass of \emph{Y}(4140) in Bethe-Salpeter equation for quarks

Using the general form of the Bethe-Salpeter wave functions for the bound states consisting of two vector fields given in our previous work, we investigate the molecular state composed of $D^{*+}_s$$D^{*-}_s$. However, for the SU(3) symmetry the component $D^{*+}_s$$D^{*-}_s$ is coupled with the other components $D^{*0}$$\bar{D}^{*0}$ and $D^{*+}$$D^{*-}$. Then we interpret the internal structure of the observed \emph{Y}(4140) state as a mixed state of pure molecule states $D^{*0}$$\bar{D}^{*0}$, $D^{*+}$$D^{*-}$ and $D^{*+}_s$$D^{*-}_s$ with quantum numbers $J^P=0^+$. In this paper, the operator product expansion is used to introduce the nonperturbative contribution from the vacuum condensates into the interaction between two heavy mesons. The calculated mass of \emph{Y}(4140) is consistent with the experimental value, and we conclude that it is a more reasonable scenario to explain the structure of Y (4140) as a mixture of pure molecule states.

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