A narrow quasi-bound state of the DNN system

We have investigated a charmed system of DNN (composed of two nucleons and a D meson) by a complementary study with a variational calculation and a Faddeev calculation with fixed-center approximation (Faddeev-FCA). In the present study, we employ a DN potential based on a vector–meson exchange picture in which a resonant image is dynamically generated as a DN quasi-bound state, similarly to the image as a image one in the strange sector. As a result of the study of variational calculation with an effective DN potential and three kinds of NN potentials, the image is found to be a narrow quasi-bound state below image threshold: total binding energy image and mesonic decay width image. On the other hand, the image state is considered to be a scattering state of image and a nucleon. These results are essentially supported by the Faddeev-FCA calculation. By the analysis of the variational wave function, we have found a unique structure in the image such that the D meson stays around the center of the total system due to the heaviness of the D meson.