The ${\Lambda }_b\to J/\psi K\Xi$ decay and the higher order chiral terms of the meson baryon interaction

Abstract

We study the weak decay of the ${\Lambda }_b$ into $J/\psi K\Xi$ and $J/\psi \eta \Lambda$ states, and relate these processes to the ${\Lambda }_b\to J/\psi \bar{K}N$ decay mode. The elementary weak transition at the quark level proceeds via the creation of a $J/\psi$ meson and an excited $sud$ system with $I=0$, which upon hadronization leads to $\bar{K}N$ or $\eta \Lambda$ pairs. These states undergo final state interaction in coupled channels and produce a final meson-baryon pair. The $K\Xi$ state only occurs via rescattering, hence making the ${\Lambda }_b\to J/\psi K\Xi$ process very sensitive to the details of the meson-baryon interaction in strangeness $S=-1$ and isospin $I=0$. We show that the corresponding invariant mass distribution is dominated by the next-to-leading order terms of the chiral interaction. The $I=0$ selectivity of this decay, and its large sensitivity to the higher order terms, makes its measurement very useful and complementary to the $K^{-}p\to K\Xi$ cross section data. The rates of the ${\Lambda }_b\to J/\psi K\Xi$ and ${\Lambda }_b\to J/\psi \eta \Lambda$ invariant mass distributions are sizable compared to those of the ${\Lambda }_b\to J/\psi \bar{K}N$ decay, which is measured experimentally, thus, we provide arguments for an experimental determination of these decay modes that will help us understand better the chiral dynamics at higher energies.

9 PAGES, 7 FIGURES

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Cited by in corpus (21)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Weak decays of heavy hadrons into dynamically generated resonances
• Antikaon-nucleon interaction and Lambda(1405) in chiral SU(3) dynamics
• The ${\Lambda }_b\to J/\psi K^0\Lambda$ reaction and a hidden-charm pentaquark state with strangeness
• Strong decay mode $J/\psi p$ of hidden charm pentaquark states $P_c^{+}(4380)$ and $P_c^{+}(4450)$ in ${\Sigma }_c{\bar{D}}^{\ast }$ molecular scenario
• A hidden-charm $S=-1$ pentaquark from the decay of ${\Lambda }_b$ into $J/\psi \eta \Lambda$
• Weak decay of Lambda_c^+ for the study of Lambda(1405) and Lambda(1670)
• QCD and the Strange Baryon Spectrum
• $S=-1$ meson-baryon interaction and the role of isospin filtering processes
• $J/\psi ({\eta }_c)N$ and ${\rm Y}({\eta }_b)N$ cross sections
• Structure and decays of hidden heavy pentaquarks
• The baryo-quarkonium picture for hidden-charm and bottom pentaquarks and LHCb $P_{\mathrm{c}}(4380)$ and $P_{\mathrm{c}}(4450)$ states
• Theoretical study of the Xi(1620) and Xi(1690) resonances in Xi_c -> pi^+ MB decays
• A hidden-charm pentaquark state in ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decay
• Theoretical description of the decays ${\Lambda }_b\to {\Lambda }^{(\ast )}({\frac{1}{2}}^{\pm },{\frac{3}{2}}^{\pm })+J/\psi$
• The $a_0(980)$ and $\Lambda (1670)$ in the ${\Lambda }_c^{+}\to {\pi }^{+}\eta \Lambda$ decay
• The chiral S=-1 meson-baryon interaction with new constrains on the NLO contributions
• Role of the $N^{\ast }(1535)$ in the ${\Lambda }_c^{+}\to {\bar{K}}^0\eta p$ decay
• Double strangeness pentaquarks and other exotic hadrons in the ${\Xi }_b\to \Xi J/\Psi \varphi$ decay
• Exotic Hadrons in the ${\Lambda }_b\to J/\psi \varphi \Lambda$ Decay