X(3872) and Bound State Problem of D0Ｄ*0(Ｄ0 D*0)

X(3872) and Bound State Problem of D⁰Ｄ^0(Ｄ⁰ D^0)

摘要: We have performed a dynamical calculation of the bound state problem of D0Ｄ*0 by considering the pion and sigma meson exchange potential. Our preliminary analysis disfavors the molecular interpretation of X(3872) if we use the experimental D*Dπ coupling constant g=0.59 and a reasonable cutoff around 1 GeV, which is the typical hadronic scale. In contrast, there probably exists a loosely bound Swave BB* molecular state. Such a molecular state would be rather stable since its dominant decay mode is the radiative decay through B*→Bγ.

Abstract: We have performed a dynamical calculation of the bound state problem of D0Ｄ*0 by considering the pion and sigma meson exchange potential. Our preliminary analysis disfavors the molecular interpretation of X(3872) if we use the experimental D*Dπ coupling constant g=0.59 and a reasonable cutoff around 1 GeV, which is the typical hadronic scale. In contrast, there probably exists a loosely bound Swave BB* molecular state. Such a molecular state would be rather stable since its dominant decay mode is the radiative decay through B*→Bγ.