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.

arXiv comment9 pages, 6 figures; version to be published in Phys. Lett. B

References in corpus (53)

• Hadronic molecules
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction
• Heavy Baryons in a Quark Model
• The nature of the Lambda(1405) resonance in chiral dynamics
• Threshold cusps and triangle singularities in hadronic reactions
• Spectrum of heavy baryons in the quark model
• Masses of excited heavy baryons in the relativistic quark-diquark picture
• Coupled-channel study of crypto-exotic baryons with charm
• Faddeev study of heavy baryon spectroscopy
• D Mesons in Nuclear Matter: A DN Coupled-Channel Equations Approach
• Strong decays of charmed baryons
• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Observation of an Isotriplet of Excited Charmed Baryons Decaying to ${\Lambda }_c^{+}\pi$
• Charmed baryon strong decays in a chiral quark model
• Cusps in K --> 3 pi decays
• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• Charmed and strange baryon resonances with heavy-quark spin symmetry
• P-wave charmed baryons from QCD sum rules
• Determination of the a0-a2 pion scattering length from K->pi+ pi0 pi0 decay
• Low-lying charmed and charmed-strange baryon states
• DN interaction from meson exchange
• Predictions for s-Wave and p-Wave Heavy Baryons from Sum Rules and Constituent Quark Model (I): Strong Interactions
• Pion-pion scattering and the K->3pi decay amplitudes
• Observation of a cusp-like structure in the pizero-pizero invariant mass distribution from K+- ==> pi+- pizero pizero decay and determination of the pi-pi scattering lengths
• Open-charm systems in cold nuclear matter
• Excited State Mass spectra of Singly Charmed Baryons
• Study of the $D^{0}p$ amplitude in ${\Lambda }_b^0\to D^{0}p{\pi }^{-}$ decays
• Dynamically generated open charmed baryons beyond the zero range approximation
• On charm baryon resonances and chiral symmetry
• Determination of the S-wave pi pi scattering lengths from a study of K+- -> pi+- pi0 pi0 decays
• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• Factorization in the Production and Decay of the X(3872)
• Baryon states with open charm in the extended local hidden gauge approach
• Cusps in K_L --> 3 pi decays
• D-wave baryon resonances with charm from coupled-channel dynamics
• Cusps in K --> 3pi decays: a theoretical framework
• Charmed baryon Sigmac(2800) as a ND hadronic molecule
• $S$-wave $D^{(\ast )}N$ molecular states: ${\Sigma }_c(2800)$ and ${\Lambda }_c(2940{)}^{+}$?
• An effective field theory for coupled-channel scattering
• Charmed meson rescattering in the reaction pbar d to D Dbar N
• The cusp effect in eta' --> eta pi pi decays
• Compositeness of the strange, charm and beauty odd parity $\Lambda$ states
• 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
• Charming mesons with baryons and nuclei
• Predictions for the cusp in eta->3pi0 decay
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• Determination of the pi Sigma scattering lengths from the weak decays of Lambda_c
• 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 ${\Lambda }_c(2625)$
• Multiquark contributions to charm baryon spectroscopy
• Universal physics of the few-body system of two neutrons and one flavored meson

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• Molecular charmed baryons and pentaquarks from light-meson exchange saturation
• Study of $qqq\bar{q}Q$ pentaquark system in the Chiral Quark Model
• Photoproduction of the $X(3872)$ beyond vector meson dominance: the open-charm coupled-channel mechanism
• Coupled-channel analysis of the near-threshold $e^{+}{e}^{-}\to N\bar{N}$ cross sections
• Role of electromagnetic corrections in the $\pi \pi$ distributions of ${\psi }^{\prime }\to J/\psi \pi \pi$
• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering