Extraction of $ND$ scattering lengths from the ${\Lambda }_b\to {\pi }^{-}p{D}^0$ decay and properties of the ${\Sigma }_c(2800{)}^{+}$

Abstract

The isovector and isoscalar $ND$ $s$-wave scattering lengths are extracted by fitting to the LHCb data of the $p{D}^0$ invariant-mass distribution in the decay ${\Lambda }_b\to {\pi }^{-}p{D}^0$, making use of the cusp effect at the $n{D}^{+}$ 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 $n{D}^{+}$ threshold can be verified using updated LHCb data.

9 pages, 6 figures; version to be published in Phys. Lett. B

References in corpus (20)

• Heavy Baryons in a Quark Model
• Threshold cusps and triangle singularities in hadronic reactions
• Masses of excited heavy baryons in the relativistic quark-diquark picture
• Faddeev study of heavy baryon spectroscopy
• Strong decays of charmed baryons
• D Mesons in Nuclear Matter: A DN Coupled-Channel Equations Approach
• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Charmed baryon strong decays in a chiral quark model
• Cusps in K --> 3 pi decays
• P-wave charmed baryons from QCD sum rules
• Low-lying charmed and charmed-strange baryon states
• DN interaction from meson exchange
• Cusps in K_L --> 3 pi decays
• Charmed baryon Sigmac(2800) as a ND hadronic molecule
• The cusp effect in eta' --> eta pi pi decays
• Charmed meson rescattering in the reaction pbar d to D Dbar N
• K -> 3 pi Final State Interactions at NLO in CHPT and Cabibbo's Proposal to Measure a_0-a_2
• $D^{(\ast )}N$ interaction and the structure of ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940)$ in chiral effective field theory
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• Semileptonic ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2595)$ and ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2625)$ decays in the molecular picture of ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$

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