[Zhu, Shi-Lin] Peking Univ, Dept Phys, Beijing 100871, Peoples R China
; [Liu, Xiang] Lanzhou Univ, Sch Phys Sci & Technol, Lanzhou 730000, Peoples R China
; [Liu, Yan-Rui] Inst High Energy Phys, Beijing 100049, Peoples R China
; [Liu, Xiang] Univ Coimbra, Dept Fis, Ctr Fis Computac, P-3004516 Coimbra, Portugal
We have performed a systematical calculation of the pion (pi, K, eta) and heavy pseudoscalar meson S-wave scattering lengths up to O(p(3)) in the chiral perturbation theory in the heavy quark symmetry limit. With the three scattering lengths from the lattice simulations as input we estimate the unknown low-energy constants. Then we predict all the other unmeasured scattering lengths. The analytical expressions and predictions may be helpful to future investigations. Especially we note that the DK scattering length is positive. Therefore their interaction is attractive, which helps to lower the mass of the bare charm-strange scalar state in the quark model through the couple-channel effect.