Ds0*(2317) and Bs0* as Molecular States

초록

We investigate the dynamical generation of the D-s0(& lowast;)(2317) and B-s0(& lowast;) mesons using a meson-exchange model with a coupled-channel formalism. Our primary focus is on the D-s(+)pi(0) channel below the DK threshold. First, we construct the invariant kernel amplitudes, incorporating effective Lagrangians based on heavy-quark symmetry, flavor SU(3) symmetry, and hidden local symmetry. Since the D-s0(& lowast;eta)(2317) state implies isospin symmetry breaking, we introduce pi(0)-eta isospin mixing. We subsequently solve the coupled-channel integral equations, which include four different channels, i.e. D-s(+)pi(0), (DK+)-K-0, (D+K0), and D-s(+)eta. We carefully analyze how the pole corresponding to the D-s0(& lowast;)(2317) state emerges from the coupled channels. Our findings reveal that the pole positions of the D-s0(& lowast;)(2317) meson are at root s(R)=(2317.9-i0.0593) MeV and those of the (B) over bar (& lowast;)(s0) meson are at (5756.43-i0.0215) MeV, respectively. We also discuss their decay widths and destructive interference of the two sources. In conclusion, our current results provide a clear indication supporting the interpretation of the D-s0(& lowast;)(2317) meson as a DK molecular state within the present coupled-channel formalism. In addition, we discuss the possible existence of (B) over bar (& lowast;)(s0).

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