The general propagator for S-wave threshold states

Abstract

We demonstrate that the propagator, derived from an Effective Field Theory (EFT) that incorporates Weinberger's compositeness theorem, provides a more general formula for describing S-wave near-threshold states. By fitting the lineshape using this propagator, we can extract the $Z$ factor for these states and elucidate their structures.

17pages, the charged channel of the X(3872) added

References in corpus (14)

• A New Expansion for Nucleon-Nucleon Interactions
• An updated review of the new hadron states
• Evidence that the a0(980) and f0(980) are not elementary particles
• Pion Interactions in the X(3872)
• Is the X(3872) Production Cross Section at Tevatron Compatible with a Hadron Molecule Interpretation?
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Line Shapes of the X(3872)
• Nature of X(3872) from data
• From the lineshape of the $X(3872)$ to its structure
• Baryonium, tetra-quark state and glue-ball in large N_c QCD
• How to identify the structure of near-threshold states from the line shape
• Galilean-Invariant XEFT at Next-to-Leading Order
• The role of the pion in the lineshape of the $X(3872)$
• The $1/N_c$ expansion in hadron effective field theory