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Partial Wave Mixing in Hamiltonian Effective Field Theory

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abstract

Within general partial-wave mixing, a method for reducing the high dimension of the finite-volume Hamiltonian from Hamiltonian effective field theory is proposed. This method provides a new viewpoint on partial-wave mixing, and a set of matrices that can reflect the degree of partial-wave mixing. An example of isospin-2 $\pi\pi$ scattering is used to examine the consistency between this method and L\"{u}scher's method.

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2025 1

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