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Extraction of $ND$ scattering lengths from the $\Lambda_b\rightarrow\pi^-pD^0$ decay and properties of the $\Sigma_c(2800)^+$

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arxiv 2004.09824 v2 pith:OCK4YJUT submitted 2020-04-21 hep-ph hep-exnucl-th

classification hep-phhep-exnucl-th
keywords scatteringcuspdatadecayisovectorlambdalengthslhcb
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The isovector and isoscalar $ND$ $s$-wave scattering lengths are extracted by fitting to the LHCb data of the $pD^0$ invariant-mass distribution in the decay $\Lambda_b\rightarrow\pi^-pD^0$, making use of the cusp effect at the $nD^+$ threshold. The analysis is based on a coupled-channel nonrelativistic effective field theory. We find that the real part of the isovector $ND$ scattering length is unnaturally large due to the existence of a near-threshold state with a mass around 2.8 GeV. The state is consistent with the $\Sigma_c(2800)^+$ resonance observed at Belle. Our results suggest that it couples strongly to the $ND$ channel in an $s$-wave, and that its quantum numbers are $J^P=1/2^-$. The strong cusp behavior at the $nD^+$ threshold can be verified using updated LHCb data.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Role of electromagnetic corrections in the $\pi\pi$ distributions of $\psi^\prime \to J/\psi \pi \pi$

    hep-ph 2026-03 accept novelty 4.0 of 10

    Electromagnetic corrections alter the π⁺π⁻-threshold cusp magnitude by ~2–3% in ψ′→J/ψπ⁰π⁰, so they must be included for precision extraction of S-wave ππ scattering lengths.

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