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CMS-BPH-20-004 ; CERN-EP-2021-020
Observation of a new excited beauty strange baryon decaying to $\Xi_{\mathrm{b}}^{-}\pi^{+}\pi^{-}$
Phys. Rev. Lett. 126 (2021) 252003
Abstract: The $\Xi_{\mathrm{b}}^{-}\pi^{+}\pi^{-}$ invariant mass spectrum is investigated with an event sample of proton-proton collisions at $\sqrt{s} = $ 13 TeV, collected by the CMS experiment at the LHC in 2016-2018 and corresponding to an integrated luminosity of 140 fb$^{-1}$. The ground state $\Xi_{\mathrm{b}}^{-}$ is reconstructed via its decays to $\mathrm{J}/\psi \Xi^{-}$ and $\mathrm{J}/\psi \Lambda \mathrm{K}^{-}$. A narrow resonance, labeled $\Xi_{\mathrm{b}}(6100)^{-}$, is observed at a $\Xi_{\mathrm{b}}^{-}\pi^{+}\pi^{-}$ invariant mass of 6100.3 $\pm$ 0.2 (stat) $\pm$ 0.1 (syst) $\pm$ 0.6 ($\Xi_{\mathrm{b}}^{-}$) MeV, where the last uncertainty reflects the precision of the $\Xi_{\mathrm{b}}^{-}$ baryon mass. The upper limit on the $\Xi_{\mathrm{b}}(6100)^{-}$ natural width is determined to be 1.9 MeV at 95% confidence level. Following analogies with the established excited $\Xi_{\mathrm{c}}$ baryon states, the new $\Xi_{\mathrm{b}}(6100)^{-}$ resonance and its decay sequence are consistent with the orbitally excited $\Xi_{\mathrm{b}}^{-}$ baryon, with spin and parity quantum numbers $J^P=$ 3/2$^-$.
Figures Summary Additional Figures References CMS Publications
Figures

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Figure 1:
The $ \Xi_{\mathrm{b}}(6100)^{-} \to \Xi_{\mathrm{b}}^{-}\pi^{+}\pi^{-} $ decay topology, where the $\Xi_{\mathrm{b}}^{-}$ decays to $\mathrm{J}/\psi \Xi^{-} $ (left) or to $\mathrm{J}/\psi \Lambda \mathrm{K^{-}} $ (right). The numbers in blue are average decay lengths.

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Figure 1-a:
The $ \Xi_{\mathrm{b}}(6100)^{-} \to \Xi_{\mathrm{b}}^{-}\pi^{+}\pi^{-} $ decay topology, where the $\Xi_{\mathrm{b}}^{-}$ decays to $\mathrm{J}/\psi \Xi^{-} $. $\mathrm{J}/\psi \Lambda \mathrm{K^{-}} $. The numbers in blue are average decay lengths.

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Figure 1-b:
The $ \Xi_{\mathrm{b}}(6100)^{-} \to \Xi_{\mathrm{b}}^{-}\pi^{+}\pi^{-} $ decay topology, where the $\Xi_{\mathrm{b}}^{-}$ decays to $\mathrm{J}/\psi \Xi^{-} $. $\mathrm{J}/\psi \Lambda \mathrm{K^{-}} $. The numbers in blue are average decay lengths.

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Figure 2:
Invariant mass distributions of the selected $\Xi_{\mathrm{b}}^{-}$ candidates in the ${\mathrm{J}/\psi \Xi^{-}}$ (left) and ${\mathrm{J}/\psi \Lambda \mathrm{K^{-}}}$ (right) decay channels with the fit results superimposed. The vertical solid (dashed) lines show the mass windows discussed in the text and used in the reconstruction of the ${\Xi_{\mathrm{b}}^{-} \pi^{+} \pi^{-}}$ candidates in ${\mathrm{J}/\psi \Xi^{-}}$ and ${\mathrm{J}/\psi \Lambda \mathrm{K^{-}}}$ ($\mathrm{J}/\psi \Sigma^{0} \mathrm{K^{-}} $) channels.

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Figure 2-a:
Invariant mass distribution of the selected $\Xi_{\mathrm{b}}^{-}$ candidates in the ${\mathrm{J}/\psi \Xi^{-}}$ ${\mathrm{J}/\psi \Lambda \mathrm{K^{-}}}$ decay channel with the fit results superimposed. The vertical solid line shows the mass window discussed in the text and used in the reconstruction of the ${\Xi_{\mathrm{b}}^{-} \pi^{+} \pi^{-}}$ candidates in the ${\mathrm{J}/\psi \Xi^{-}}$ channel.

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Figure 2-b:
Invariant mass distribution of the selected $\Xi_{\mathrm{b}}^{-}$ candidates in the ${\mathrm{J}/\psi \Lambda \mathrm{K^{-}}}$ decay channel with the fit results superimposed. The vertical solid (dashed) lines show the mass windows discussed in the text and used in the reconstruction of the ${\Xi_{\mathrm{b}}^{-} \pi^{+} \pi^{-}}$ candidates in the ${\mathrm{J}/\psi \Lambda \mathrm{K^{-}}}$ ($\mathrm{J}/\psi \Sigma^{0} \mathrm{K^{-}} $) channel.

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Figure 3:
Distributions of the invariant mass difference ${\Delta M}$ for the selected ${\Xi_{\mathrm{b}}^{-} \pi^{+} \pi^{-}}$ candidates, with the $\Xi_{\mathrm{b}}^{-}$ reconstructed in the ${\mathrm{J}/\psi \Xi^{-}}$ and ${\mathrm{J}/\psi \Lambda \mathrm{K^{-}}}$ channels (left) or partially reconstructed in the $\mathrm{J}/\psi \Sigma^{0} \mathrm{K^{-}} $ channel (right). The result of the simultaneous fit is also shown.

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Figure 3-a:
Distribution of the invariant mass difference ${\Delta M}$ for the selected ${\Xi_{\mathrm{b}}^{-} \pi^{+} \pi^{-}}$ candidates, with the $\Xi_{\mathrm{b}}^{-}$ reconstructed in the ${\mathrm{J}/\psi \Xi^{-}}$ and ${\mathrm{J}/\psi \Lambda \mathrm{K^{-}}}$ channels. The result of the simultaneous fit is also shown.

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Figure 3-b:
Distribution of the invariant mass difference ${\Delta M}$ for the selected ${\Xi_{\mathrm{b}}^{-} \pi^{+} \pi^{-}}$ candidates, with the $\Xi_{\mathrm{b}}^{-}$ partially reconstructed in the $\mathrm{J}/\psi \Sigma^{0} \mathrm{K^{-}} $ channel. The result of the simultaneous fit is also shown.
Summary
In summary, we report the observation of a new excited beauty strange baryon, decaying to $\Xi_{\mathrm{b}}^{-}\pi^{+}\pi^{-}$. The analysis uses proton-proton collision data collected by the CMS experiment at $\sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 140 fb$^{-1}$. The measured mass difference of this state is $M(\Xi_{\mathrm{b}}(6100)^{-}) - M(\Xi_{\mathrm{b}}^{-}) - 2\,m^{\text{PDG}}_{\pi^{\pm}} = $ 24.14 $\pm$ 0.22 (stat) $\pm$ 0.05 (syst) MeV. The known $\Xi_{\mathrm{b}}^{-}$ mass of 5797.0 $\pm$ 0.6 MeV [20] is used to obtain $ M(\Xi_{\mathrm{b}}(6100)^{-}) =$ 6100.3 $\pm$ 0.2 (stat) $\pm$ 0.1 (syst) $\pm$ 0.6 ($\Xi_{\mathrm{b}}^{-}$) MeV. It is particularly remarkable that if the $\Xi_{\mathrm{b}}(6100)^{-}$ baryon were only 13 MeV heavier, it would be above the $\Lambda_{\mathrm{b}}^{0}\mathrm{K}^{-}$ mass threshold and could decay to this final state. The natural width of this resonance is compatible with zero and a 95% confidence level upper limit of 1.9 MeV has been determined.

Following analogies with the established excited $\Xi_{\mathrm{c}}$ baryon states [20], and considering several theoretical predictions [12, 13, 21], the new $\Xi_{\mathrm{b}}(6100)^{-}$ resonance and its decay sequence are consistent with the orbitally excited $\Xi_{\mathrm{b}}^{-}$ baryon, with the light diquark spin $j_{\mathrm{qs}}=$ 1 and $J^P=$ 3/2$^-$. This suggests that it is the beauty analogue of the $\Xi_{\mathrm{c}}(2815)$ baryon [41]. The observation of this baryon and the measurement of its properties provide information that should help to distinguish between different theoretical models used to calculate the properties of the excited $\Xi_{\mathrm{b}}$ states.
Additional Figures

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Additional Figure 1:
Quark spin configurations for the lightest $\Xi_{\mathrm{b}}$ isodoublets, q corresponds to up and down quarks for $\Xi_{\mathrm{b}}^{0}$ and $\Xi_{\mathrm{b}}^{-}$, respectively. Here $j_{\mathrm{q} \mathrm{s}}$ denotes the light diquark spin, $J^P$ denotes the total spin-parity of $\Xi_{\mathrm{b}}$ baryon and $L$ denotes the orbital angular momentum between the light diquark and the b quark.

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Additional Figure 2:
$\Xi_{\mathrm{b}} (6100)^-\to \Xi_{\mathrm{b}}^{-} \pi^{+} \pi^{-} $ decay topology, where the $\Xi_{\mathrm{b}}^{-}$ decays to $\mathrm{J}/\psi \Xi^{-} $ (top) or to $\mathrm{J}/\psi \Lambda \mathrm{K^{-}} $ (bottom). The numbers in blue are average decay lengths, calculated as $c\tau $.

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Additional Figure 2-a:
$\Xi_{\mathrm{b}} (6100)^-\to \Xi_{\mathrm{b}}^{-} \pi^{+} \pi^{-} $ decay topology, where the $\Xi_{\mathrm{b}}^{-}$ decays to $\mathrm{J}/\psi \Xi^{-} $. The numbers in blue are average decay lengths, calculated as $c\tau $.

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Additional Figure 2-b:
$\Xi_{\mathrm{b}} (6100)^-\to \Xi_{\mathrm{b}}^{-} \pi^{+} \pi^{-} $ decay topology, where the $\Xi_{\mathrm{b}}^{-}$ decays to $\mathrm{J}/\psi \Lambda \mathrm{K^{-}} $. The numbers in blue are average decay lengths, calculated as $c\tau $.

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Additional Figure 3:
Invariant mass distribution of the selected $\Xi_{\mathrm{b}}^{-} \pi \pi $ candidates with no requirements on the $\Xi_{\mathrm{b}}^{-} \pi^{+} $ mass, for the OS (circles) and SS (band) events. The $\Xi_{\mathrm{b}}^{-}$ ground state is fully reconstructed in the $\mathrm{J}/\psi \Xi^{-} $ and $\mathrm{J}/\psi \Lambda \mathrm{K^{-}} $ channels (left) or partially reconstructed in the $\mathrm{J}/\psi \Sigma^{0} \mathrm{K^{-}} $ channel (right). The vertical lines show the masses of the new $\Xi_{\mathrm{b}} (6100)^-$ baryon and of the $\Xi_{\mathrm{b}} (6227)^-$ state, observed by the LHCb Collaboration in the $\Lambda_{\mathrm{b}}^{0} \mathrm{K^{-}} $ and $\Xi_{\mathrm{b}}^{0} \pi^{-} $ decay channels [22].

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Additional Figure 3-a:
Invariant mass distribution of the selected $\Xi_{\mathrm{b}}^{-} \pi \pi $ candidates with no requirements on the $\Xi_{\mathrm{b}}^{-} \pi^{+} $ mass, for the OS (circles) and SS (band) events. The $\Xi_{\mathrm{b}}^{-}$ ground state is fully reconstructed in the $\mathrm{J}/\psi \Xi^{-} $ and $\mathrm{J}/\psi \Lambda \mathrm{K^{-}} $ channels. The vertical lines show the masses of the new $\Xi_{\mathrm{b}} (6100)^-$ baryon and of the $\Xi_{\mathrm{b}} (6227)^-$ state, observed by the LHCb Collaboration in the $\Lambda_{\mathrm{b}}^{0} \mathrm{K^{-}} $ and $\Xi_{\mathrm{b}}^{0} \pi^{-} $ decay channels [22].

png pdf
Additional Figure 3-b:
Invariant mass distribution of the selected $\Xi_{\mathrm{b}}^{-} \pi \pi $ candidates with no requirements on the $\Xi_{\mathrm{b}}^{-} \pi^{+} $ mass, for the OS (circles) and SS (band) events. The $\Xi_{\mathrm{b}}^{-}$ ground state is partially reconstructed in the $\mathrm{J}/\psi \Sigma^{0} \mathrm{K^{-}} $ channel. The vertical lines show the masses of the new $\Xi_{\mathrm{b}} (6100)^-$ baryon and of the $\Xi_{\mathrm{b}} (6227)^-$ state, observed by the LHCb Collaboration in the $\Lambda_{\mathrm{b}}^{0} \mathrm{K^{-}} $ and $\Xi_{\mathrm{b}}^{0} \pi^{-} $ decay channels [22].
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