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Partial-wave mixing in Hamiltonian effective field theory

机译：哈密顿有效场理论中的部分波混合

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The spectrum of excited states observed in the finite volume of lattice QCD is governed by the discrete symmetries of the cubic group. This finite group permits the mixing of orbital angular momentum quanta in the finite volume. As experimental results refer to specific angular momentum in a partial-wave decomposition, a formalism mapping the partial-wave scattering potentials to the finite volume is required. This formalism is developed herein for Hamiltonian effective field theory, an extension of chiral effective field theory incorporating the Lüscher relation linking the energy levels observed in finite volume to the scattering phase shift. The formalism provides an optimal set of rest-frame basis states maximally reducing the dimension of the Hamiltonian, and it should work in any Hamiltonian formalism. As a first example of the formalism’s implementation, lattice QCD results for the spectrum of an isospin-2 π π scattering system are analyzed to determine the s , d , and g partial-wave scattering information.
机译：在有限体积的格子QCD中观察到的激发态的光谱由立方组的离散对称来控制。该有限组允许在有限体积中混合轨道角动量Quanta。随着实验结果指的是部分波分解中的特定角动量，需要将部分波散射电位映射到有限体积的形式主义。这种形式主义在此进行了用于汉密尔顿的有效领域理论，其延伸的手性有效领域理论的延伸包括将在有限体积中观察到的能量水平的Lüscher关系与散射相移。形式主义提供了最佳的休息基础态，最大地减少了汉密尔顿人的维度，它应该在任何哈密顿的形式主义中工作。作为形式主义的实现的第一示例，分析了对异螺旋-2πππππππππππππ散射系统的光谱的晶格QCD结果，以确定S，D和G部分波散射信息。

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