Phase Conventions in Hadron Physics from the Perspective of the Quark Model

TL;DR

This paper systematically analyzes flavor $SU_3$ phase conventions in hadron physics from the quark model perspective, clarifying their sources, addressing misconceptions, and proposing a consistent framework for their use.

Contribution

It provides a comprehensive comparison of phase conventions in hadron physics, identifying sources of differences and offering a unified approach based on the quark model.

Findings

Identified sources of phase convention differences.

Clarified misconceptions about phase conventions.

Proposed a consistent method to incorporate conventions.

Abstract

Convenient and consistent phase convention is important in the construction of the hadronic Lagrangian. However, the importance of phase convention has been overlooked for a long time and the sources of different conventions are never explicitly addressed. This obscure situation can cause mistakes and misinterpretations in hadron physics. In this paper, we systematically analyze and compare the flavor $SU_3$ phase conventions from the perspective of the quark model. All sources which could lead to different conventions are pointed out and carefully studied. With the tool of the quark model, we also clarify some misconceptions and demonstrate a consistent way to incorporate different conventions.