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Gauge-invariant theory of pion photoproduction with dressed hadrons

机译:具有穿戴强子的π介子光生成的量表不变理论

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摘要

Based on an effective field theory of hadrons in which quantum chromodynamicsis assumed to provide the necessary bare cutoff functions, a gauge-invarianttheory of pion photoproduction with fully dressed nucleons is developed. Theformalism provides consistent dynamical descriptions of pi-N --> pi-Nscattering and Gamma-N --> pi-N production mechanisms in terms of nonlinearintegral equations for fully dressed hadrons. Defining electromagnetic currentsvia the gauging of hadronic n-point Green's functions, dynamically detailedcurrents for dressed nucleons are introduced. The dressed hadron currents andthe pion photoproduction current are explicitly shown to satisfy gaugeinvariance in a self-consistent manner. Approximations are discussed that makethe nonlinear formalism manageable in practice and yet preserve gaugeinvariance. This is achieved by recasting the gauge conditions for allcontributing interaction currents as continuity equations with ``surface''terms for the individual particle legs coming into or going out of the hadronicinteraction region. General procedures are given that approximate any type of(global) interaction current in a gauge-invariance preserving manner as a sumof single-particle ``surface'' currents. It is argued that these prescriptionscarry over to other reactions, irrespective of the number or type ofcontributing hadrons or hadronic systems.
机译:基于强子的有效场论,在量子论中,量子色动力学被认为可以提供必要的裸截止功能,因此,开发了一种具有完好的核子的光子照相生产的规范不变理论。形式主义就完全穿戴强子的非线性积分方程提供了pi-N-> pi-N散射和Gamma-N-> pi-N生成机制的一致动力学描述。通过测量强子n点格林函数定义电磁电流,引入了修饰核子的动态详细电流。显着地显示了修整的强子电流和介子光产生电流以自洽的方式满足规范不变性。讨论了使非线性形式主义在实践中易于管理但仍保持规范不变性的近似值。这是通过将所有贡献的相互作用电流的测量条件重铸为连续性方程式而实现的,其中连续性方程式具有进入或离开强子相互作用区域的单个粒子腿的``表面''项。给出了将规整不变的方式将任何类型的(全局)相互作用电流近似为单粒子``表面''电流之和的一般程序。有人认为,不管处方强子或强子体系的数量或类型如何,这些处方都影响其他反应。

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  • 作者

    Haberzettl, Helmut;

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  • 年度 1997
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  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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