Strong decays of P-psi(N) (4312)(+) to J/psi (eta(c)) p and (D)over-bar (*) Lambda(c) within the Bethe-Salpeter framework

Based on the effective Lagrangian in the heavy quark limit, we calculate the one-boson-exchange interaction kernel of P-psi(N) (4312)(+) as the (D) over bar Sigma(c) molecular state in isospin1/2. We present the Bethe-Salpeter equation and wave function for the constituent particles to be a (pseudo)scalar meson and a 12 baryon. By solving the Bethe-Salpeter equation, we obtain P-psi(N) (4312)(+) as the (D) over bar Sigma(c) molecular state with J(P) = (1/2)(-). Combining the effective Lagrangian and the obtained BS wave function, the partial decay widths of P-psi(N) (4312)(+) to J/p, (D) over bar Sigma(c), (D) over bar Sigma(c) and (D) over bar Sigma(c) are calculated to be 0.17, 0.085, 8.8, and 0.026 MeV, respectively, which are roughly consistent with the LHCb experimental measurements and some other theoretical researches. The obtain results indicate the fraction of (D) over bar Sigma(c) channel amounts to similar to 90% of P-psi(N) (4312)(+), and is a highly promising channel to be discovered in the near future experiments. Our results favor the interpretation of P-psi(N) (4312)(+) as the (D) over bar Sigma(c) molecular state with J(P) = (1/2)(-) and isospin I = 1/2.

Automated summary

Based on the effective Lagrangian in the heavy quark limit, this study calculates the one-boson-exchange interaction kernel of P-psi(N) (4312)(+) as the (D) over bar Sigma(c) molecular state and solves the Bethe-Salpeter equation to obtain its wave function. The results, roughly consistent with experimental measurements and other theoretical research, indicate that the (D) over bar Sigma(c) channel is a highly promising channel for future experiments.