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[論文レビュー] Polarization measurement of $Λ^+_c$ and $\overlineΛ{}^-_c$ baryons in $p$Ne collisions at $\sqrt{s_{NN}} = 68.6$ GeV

LHCb collaboration, R. Aaij|arXiv (Cornell University)|Feb 19, 2026
Particle physics theoretical and experimental studies被引用数 0
ひとこと要約

First separate-charge polarization measurements of charm baryons in fixed-target LHCb data at $ sqrt{s_{NN}}=68.6$ GeV; yields $P_{Λ_c^+} = (24 ± 9_{stat} ± 2_{syst})\kg$ and $P_{ar{Λ}_c^-} = (-8 ± 12_{stat} ± 3_{syst})\kg$, with differential results in $p_T$ and $x_F$.

ABSTRACT

The first measurement of the polarization of charm baryons by the LHCb experiment recorded in fixed-target mode is presented. The polarization of $Λ_c$ baryons is studied in collisions of protons, at an energy of 2.51 TeV, incident on a gaseous target of neon, at a nucleon-nucleon center-of-mass energy of $68.6$ GeV. The world's first measurement of separate-charge polarizations for $Λ^+_c$ and $\overlineΛ{}^-_c$ baryons is performed, determining $$ P_{Λ^+_c} = ( 24 \pm 9 \pm 2 \, )\% , $$ $$ P_{\overlineΛ{}^-_c} = (-8 \pm 12 \pm 3 \, ) \% , $$ where the first uncertainty is statistical and the second systematic. The polarization is also measured in intervals of baryon transverse momentum and the Feynman-$x$ variable.

研究の動機と目的

  • Motivate and test heavy-quark spin dynamics in charm baryon production and hadronization in a low-energy fixed-target regime.
  • Measure the polarization of charmed baryons separately for $Λ_c^+$ and $\bar{Λ}_c^-$ to probe potential differences in production mechanisms.
  • Develop and apply a helicity-formalism amplitude model to extract polarization from the $Λ_c^+ \rightarrow p K^- π^+$ decay.
  • Investigate the dependence of polarization on transverse momentum ($p_T$) and Feynman-$x$ ($x_F$) to compare with historical hyperon and charm-baryon results.
  • Validate a data-driven amplitude model by anchoring its parameters to a higher-statistics sample from semileptonic $b$-hadron decays.

提案手法

  • Use a helicity-formalism based amplitude model to describe $Λ_c^+ \rightarrow p K^- π^+$ decays with consistent spin-state definitions across intermediate resonances.
  • Fix the amplitude model from a larger LHCb data sample of $Λ_c^+ \rightarrow p K^- π^+$ (from semileptonic $b$-hadron decays) to enable polarization extraction.
  • Perform independent maximum-likelihood fits to five-dimensional phase-space distributions (two invariant masses and three decay-orientation angles) to extract the transverse polarization component.
  • Incorporate detector acceptance via simulation and background shapes via Legendre-polynomial expansions derived from mass sidebands, using TensorFlowAnalysis for the multi-dimensional fit.
  • Estimate statistical uncertainties via bootstrapping pseudoexperiments and evaluate systematics from the amplitude model, background description, and efficiency calibration.
Figure 1: Distributions of the $pK^{-}\pi^{+}$ invariant mass of selected (left) ${\mathchar 28931\relax}^{+}_{c}$ and (right) ${\kern 1.79993pt\overline{\kern-1.79993pt\mathchar 28931\relax}}{}^{-}_{c}$ candidates. The results from the fit described in the text are also shown.
Figure 1: Distributions of the $pK^{-}\pi^{+}$ invariant mass of selected (left) ${\mathchar 28931\relax}^{+}_{c}$ and (right) ${\kern 1.79993pt\overline{\kern-1.79993pt\mathchar 28931\relax}}{}^{-}_{c}$ candidates. The results from the fit described in the text are also shown.

実験結果

リサーチクエスチョン

  • RQ1What is the transverse polarization of $Λ_c^+$ and $\bar{Λ}_c^-$ produced in fixed-target $p$ Ne collisions at $\sqrt{s_{NN}}=68.6$ GeV?
  • RQ2Are the polarizations of $Λ_c^+$ and $\bar{Λ}_c^-$ different, indicating distinct production/hadronization mechanisms?
  • RQ3How does charm-baryon polarization vary with kinematics, specifically with $p_T$ and $x_F$?
  • RQ4Does the observed polarization agree with parity conservation expectations for in-strong-interaction production (i.e., components in the production plane should be zero)?

主な発見

BinP_{Λ_c^+} ± stat ± syst (%)P_{\bar{Λ}_c^-} ± stat ± syst (%)
p_T<2.8 GeV17 ± 17 ± 4-2 ± 20 ± 4
2.8 ≤ p_T<4 GeV18 ± 14 ± 4-6 ± 17 ± 5
p_T ≥ 4 GeV45 ± 17 ± 4-27 ± 22 ± 14
x_F < -0.1541 ± 17 ± 5-15 ± 21 ± 6
-0.15 ≤ x_F < -0.069 ± 14 ± 3-13 ± 18 ± 3
x_F ≥ -0.0642 ± 18 ± 62 ± 20 ± 8
  • $Λ_c^+$ polarization is observed with a value $P_{Λ_c^+} = (24.4 ± 9.5_{stat} ± 2.2_{syst})%$ (significant at ~2.4$\sigma$).
  • $\bar{Λ}_c^-$ polarization is consistent with zero within uncertainties: $P_{\bar{Λ}_c^-} = (-8 ± 12_{stat} ± 3_{syst})%$.
  • Differential results show hints of increasing $P_{Λ_c^+}$ with $p_T$ in the highest bin but are statistically inconclusive; no clear kinematic trend for $P_{\bar{Λ}_c^-}$.
  • The production-plane polarization components are compatible with zero, as required by parity conservation.
  • An asymmetry in $Λ_c^+$ vs $\bar{Λ}_c^-$ yields is observed, reflecting proton–neon collision dynamics.
  • The analysis provides the first separate-charge charm-baryon polarization measurements in fixed-target LHCb data and introduces a novel helicity-based amplitude modeling approach.
Figure 2: Comparisons of the phase-space projections between the data and the fitted model, for the ${\mathchar 28931\relax}^{+}_{c}$ dataset.
Figure 2: Comparisons of the phase-space projections between the data and the fitted model, for the ${\mathchar 28931\relax}^{+}_{c}$ dataset.

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