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The general propagator for S-wave threshold states

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arxiv 2401.03373 v5 pith:U3E5JUPR submitted 2024-01-07 hep-ph hep-ex

classification hep-phhep-ex
keywords propagatorstatesgenerals-wavecompositenessdemonstratederiveddescribing
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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.

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  1. Compositeness relations for near-threshold p-wave bound states

    hep-ph 2026-07 conditional novelty 4.0 of 10

    The paper derives p-wave compositeness relations a1 = 2(Z-1)/(Z+2) * 1/(2μB)^{3/2} and r1 = 3Z/(1-Z) sqrt(2μB) using a nonrelativistic effective field theory.

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