AI 中文总结
研究轻介子中Regge轨迹，通过统计和现象学方法比较两个线性Regge模型，在27个基准态中排除\(S\)波态后两模型差异不显著，\(S\)波态质量可用非线性校正拟合，扩展数据集分析显示模型2更优。
AI 中文摘要
轻非奇异介子的质量可参数化为径向量子数\(n\)和轨道角动量\(L\)的函数。我们针对两个实验数据集，对竞争的类Regge公式进行了全面的统计和现象学比较分析。测试了两个关于\(M^2(L,n)\)的线性Regge模型，通过残差平方和等方法进行模型选择。在27个基准态中，模型2在统计上不被支持，但排除\(S\)波态后差异不显著，且\(S\)波态质量可用非线性\(L\)依赖校正成功拟合。对85个态的扩展数据集分析表明模型2在统计上更受青睐。
英文摘要
The masses of light non-strange mesons can be parameterized as a function of the radial quantum number $n$ and the orbital angular momentum $L$. We perform a comprehensive statistical and phenomenological comparative analysis of competing Regge-like formulas evaluated against two experimental datasets: a benchmark sample of 27 well-established states from the 2024 Particle Data Group (PDG) data, and an expanded sample of 85 states compiled within a recently proposed $(L,n)$-classification. Two linear Regge models for $M^2(L,n)$ are tested: one featuring distinct slopes for $L$ and $n$, $M^2(L,n)\propto an+bL$ (Model 1), and another assuming a universal slope, $M^2(L,n)\propto a(n+L)$ (Model 2). Model selection is conducted quantitatively using the Residual Sum of Squares (RSS), the adjusted RSS, the Akaike Information Criterion (AIC), and the Bayesian Information Criterion (BIC). Within the 27 benchmark states, Model 2 is statistically disfavored. We argue, however, that this discrepancy is driven by the specific behavior of $S$-wave ($L=0$) states. Upon their exclusion, the difference in performance between the two models becomes statistically insignificant, with information criteria selecting Model 2 as the more parsimonious description. Furthermore, we demonstrate that the masses of $S$-wave states can be successfully accommodated by a physically motivated, nonlinear $L$-dependent correction. A parallel analysis of the extended 85-state dataset, where the relative contribution of $S$-wave states is significantly smaller, reveals that Model 2 is statistically preferred, thereby restoring the Coulomb-like degeneracy in the Regge spectrum under consideration.
Comments10 pages, 3 figures, based on the talk presented at the conference "Particle physics at intermediate and high energies", June 2-5, 2026, Protvino
