Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-04-11
Phys.Rev.D79:094026,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, 1 figure, 3 tables, accepted by Phys. Rev. D
Scientific paper
10.1103/PhysRevD.79.094026
We have performed a systematical calculation of the pion ($\pi, K, \eta$) and heavy pseudoscalar meson S-wave scattering lengths up to ${\cal O}(p^3)$ 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.
Liu Xiang
Liu Yan-Rui
Zhu Shi-Lin
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