Effective-range expansion of the $T_{cc}^+$ state at the complex $D^{*+}D^0$ threshold

Mikhail Mikhasenko

Effective-range expansion of the $T_{cc}^+$ state at the complex $D^{*+}D^0$ threshold

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arxiv 2203.04622 v1 pith:RH56PJQ3 submitted 2022-03-09 hep-ph

Mikhail Mikhasenko This is my paper · ORCID

classification hep-ph

keywords complexexpansionamplitudeeffective-rangeplanepointscatteringstate

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abstract

Evaluation of the effective-range parameters for the $T_{cc}^+$ state in the LHCb model is examined. The finite width of $D^*$ leads to a shift of the expansion point into the complex plane to match analytical properties of the expanded amplitude. We perform an analytic continuation of the three-body scattering amplitude to the complex plane in a vicinity of the branch point and develop a robust procedure for computation of the expansion coefficients. The results yield a nearly-real scattering length, and two contributions to the the effective range which have not been accounted before.

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A short review on the compositeness of the $X(3872)$
hep-ph 2025-02 conditional novelty 5.0 of 10

Radiative decays and the LHCb line-shape data are incompatible with a purely molecular X(3872) and favor a compact or partially composite state, with a proposed molecular-amplitude fit for a decisive test.

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