论文标题
Nambu中的Baryon和Meson Masses- Jona-Lasinio模型：贝叶斯方法
Baryon and meson masses in the Nambu--Jona-Lasinio model: A Bayesian approach
论文作者
论文摘要
我们研究了NAMBU-JONA-LASINIO模型的功能，描述和再现量子染色体动力学的基本真空性能，尤其是望室谱。介子被描述为在伯特 - 钙板方程的随机相位近似级别上的夸克 - 易夸克结合状态，而在FADDEEV方程的静态近似中，BARYONs将Baryons表征为Quark-Diquark Bondate的状态。在贝叶斯框架内，我们通过现象学上已知的数量来限制该模型，并研究对真空中其参数和预测的影响以及两者之间的相关性。我们发现，在我们的框架内，可以很好地再现介子和重子的真空质量。标量diquark需要显着绑定才能正确重现Baryon Octet的质量，从而强制执行标量diquark耦合的值大于规范FIELZ值所建议的值。这些发现可能对在高温和密度以及紧凑型星形物理学的强烈相互作用物质的现象学具有重要意义。
We investigate the capabilities of the Nambu--Jona-Lasinio model to describe and reproduce fundamental vacuum properties of Quantum Chromodynamics, notably the hadronic spectrum. Mesons are described as quark-antiquark bound states at the level of the random phase approximation of the Bethe-Salpeter equation, while baryons are characterized as quark-diquark bound states within the static approximation of the Faddeev equation. Within a Bayesian framework, we constrain the model by phenomenologically known quantities and study the implications on its parameters and predictions in vacuum, as well as the correlations between the two. We find that within our framework, the vacuum masses of mesons and baryons can be reasonably well reproduced. Scalar diquarks need to be significantly bound in order to correctly reproduce the masses of the baryon octet, therefore enforcing values of the scalar diquark coupling larger than what is suggested by the canonical Fierz values. These findings could have important implications on the phenomenology of strongly-interacting matter at high temperature and density as well as of compact star physics.
