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Simple relativistic quark models

机译:简单的相对论夸克模型

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A class of phenomenological relativistic models of hadronic systems motivated by quantum chromodynamics that have dual representations as models of mesons and nucleons or quarks and gluons is investigated. These models are designed to provided qualitative insight into the role of sea quarks in hadronic structure and reactions. The model assumption is that the Hamiltonian can be divided into two parts: one that involves degrees of freedom in the same connected local and global color singlet and the remaining interactions that allow the connected local and global color singlets to interact. The first class of interactions results in infinite towers of bare "particles" with hadronic quantum numbers. All but a finite number of these remain stable when the second class of interactions is included. The model interactions are expressed in terms of subhadronic degrees of freedom, which determine the bare hadronic spectrum and the interactions involving the bare hadrons in terms of a small number of subhadronic model parameters. As a first test, this paper considers the simplest case of mesons that interact via a string-breaking interaction. One virtue of this model is that all of the bare meson masses and eigenfunctions can be computed analytically. In addition, the string-breaking interaction leads to production vertices that can also be computed analytically. The relativistic wave functions have a light-front kinematic symmetry. The goal is to find a simple relativistic quantum mechanical model based on subhadronic degrees of freedom that can provide an efficient, qualitatively consistent description of hadronic masses, lifetimes, cross sections, sea quark effects, and electromagnetic properties. The simplicity of the model makes it a potentially useful tool to study the impact of sea quarks on hadronic structure and reactions.
机译:研究了一类受量子色动力学驱动的强子系统的唯象相对论模型,这些模型具有作为介子和核子或夸克和胶子模型的双重表示。这些模型旨在为海夸克在强子结构和反应中的作用提供定性的见解。模型假设哈密顿量可分为两部分:一部分涉及同一连通局部和全局色单态的自由度,另一部分则允许连通局部和全局色单态相互作用。第一类相互作用产生了无限多个带有强子量子数的裸“粒子”。当包含第二类相互作用时,除有限数量外,所有这些都保持稳定。模型相互作用用亚谐自由度表示,亚谐自由度决定裸强子谱,涉及裸强子的相互作用用少量亚谐模型参数表示。作为第一个测试,本文考虑了介子通过断弦相互作用的最简单情况。该模型的一个优点是,所有的裸介子质量和本征函数都可以解析计算。此外,断弦交互作用会导致生成顶点,这些顶点也可以通过解析计算得到。相对论波函数具有光波阵面运动对称性。我们的目标是找到一个简单的相对论量子力学模型,该模型基于亚谐自由度,可以提供一个高效、定性一致的描述强子质量、寿命、截面、海夸克效应和电磁特性。该模型的简单性使其成为研究海夸克对强子结构和反应影响的潜在有用工具。

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