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We interpret the $X_1(2900)$ as an $S$-wave $bar{D}_1K$ molecular state in the Bethe-Salpeter equation approach with the ladder and instantaneous approximations for the kernel. By solving the Bethe-Salpeter equation numerically with the kernel containing one-particle-exchange diagrams and introducing three different form factors (monopole, dipole, and exponential form factors) in the verties, we find the bound state exists. We also study the decay width of the decay $X_1(2900)$ to $D^-K^+$.
We study the possible bound states of the $D_1D$ system in the Bethe-Salpeter (BS) formalism in the ladder and instantaneous approximations. By solving the BS equation numerically with the kernel containing one-particle exchange diagrams and introduc
We interpret the $B_{s1}(5778)$ as an $S$-wave $B^astbar{K}$ molecular state in the Bethe-Salpeter equation approach. In the ladder and instantaneous approximations, and with the kernel containing one-particle-exchange diagrams and introducing three
In this work, we assume that the observed state $Xi(1620)$ is a $s$-wave $Lambdabar{K}$ or $Sigmabar{K}$ bound state. Based on this molecule picture, we establish the Bethe-Salpeter equations for $Xi(1620)$ in the ladder and instantaneous approximati
We discuss the possibility that the X(3872) can be a $Dbar{D}^*$ molecular bound state in the Bethe-Salpeter equation approach in the ladder and instantaneous approximations. We show that the $Dbar{D}^*$ bound state with quantum numbers $J^{PC}=1^{++
The off-mass shell scattering amplitude, satisfying the Bethe-Salpeter equation for spinless particles in Minkowski space with the ladder kernel, is computed for the first time.