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arxiv 0904.1770 v3 pith:PPSB6CU7 submitted 2009-04-11 hep-ph hep-exhep-latnucl-th

Light Pseudoscalar Meson and Heavy Meson Scattering Lengths

classification hep-ph hep-exhep-latnucl-th
keywords scatteringlengthsheavymesonpseudoscalarquarkanalyticalattractive
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. The $D_{s1}(2460)$ and other open-charm $1^+$ states in relativistic chiral effective field theory

    hep-ph 2026-07 unverdicted novelty 6.0

    Relativistic U(3) chiral EFT at NLO yields scattering lengths that match lattice data and identifies D_s1(2460) as an SU(3) triplet bound-state pole and D1(2430) as a triplet-sextet pole pair, none of which are conven...