J/ψ p能谱中奇特强子态散射参数的统计推断
Statistical Inference of Scattering Parameters for Exotic Hadronic States in the $J/ψ\,p$ Spectrum
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中文总结 AI 辅助
本文通过对LHCb的J/ψ p能谱数据开展双道Flatté振幅分析，研究奇特强子态的散射参数，发现耦合相位会影响分子解释的稳健性，且干涉效应使非相干求和近似存在局限。
中文摘要 AI 辅助
我们利用Run 1+2数据集，对LHCb合作组在J/ψ p不变质量谱中观测到的隐粲五夸克候选态开展了全局双道Flatté振幅分析。我们同时将三个五夸克振幅拟合到全谱，包含多项式本底和复耦合相位。通过有效范围展开，从拟合振幅中提取散射长度和有效范围，不确定性由非参数自助重抽样确定。当采用实耦合时，散射参数与分子解释相符；但引入耦合相位后，该结论的稳健性降低。我们还发现，间距紧密的Pc(4440)+与Pc(4457)+态的干涉效应十分重要，这表明非相干求和近似存在局限性。
英文摘要
We present a global two-channel Flatté amplitude analysis of the hidden-charm pentaquark candidates observed by the LHCb collaboration in the J/ψp invariant-mass spectrum using the Run 1+2 dataset. We simultaneously fit the three pentaquark amplitudes to the full spectrum, including a polynomial background and complex coupling phases. The scattering length and effective range are extracted from the fitted amplitudes using the effective range expansion, with uncertainties determined through non-parametric bootstrap resampling. While real couplings yield scattering parameters compatible with a molecular interpretation, this conclusion becomes less robust when coupling phases are included. We further find that interference effects are important for the closely spaced Pc(4440)+ and Pc(4457)+ states, demonstrating the limitations of the incoherent-sum approximation.
