Partial Wave Mixing in Hamiltonian Effective Field Theory

TL;DR

This paper investigates how partial-wave mixing affects finite-volume Hamiltonian effective field theory (HEFT) calculations, using the P-Matrix to quantify mixing and validating results with an isospin-2 ππ scattering example.

Contribution

It introduces a method to analyze partial-wave mixing in HEFT and demonstrates its consistency with Lüscher's method through a specific scattering example.

Findings

P-Matrix effectively quantifies partial-wave mixing.

HEFT results are consistent with Lüscher's method for the example.

Provides insights into finite-volume effects in scattering analyses.

Abstract

We explore partial-wave mixing in the finite volume based on HEFT, and provide the P-Matrix to show the degree of partial-wave mixing. An example of isospin-2 $\pi\pi$ scattering is used to check the consistency between HEFT and L\"{u}scher's method.