Can I read Chemical potential (in)dependence of hadron scatterings in the hadronic phase of QCD-like theories and its applications on EtoBox?

Chemical potential (in)dependence of hadron scatterings in the hadronic phase of QCD-like theories and its applications by Murakami, Kotaro; Itou, Etsuko; Iida, Kei is a scholarly article available to read on EtoBox.

What is Chemical potential (in)dependence of hadron scatterings in the hadronic phase of QCD-like theories and its applications about?

We formulate a method for calculating the hadron-hadron scattering amplitudes at nonzero chemical potential ($\mu$) in the hadronic phase at zero temperature, where the baryon number symmetry remains to be violated. Although it is widely believed that the physical quantities do not change even if we turn on a small $\mu$ at zero temperature, the shape of correlation functions for a single hadron depends on $\mu$. Then, the dispersion relation of the single hadron is modified to $E({\bf p},\mu) = \sqrt{{\bf p}^2+m^2}-\mu n_{O}$. Here, $m$ and $n_O$ denote the hadron mass at $\mu=0$ and the quantum number, respectively. From this relation, it is possible that the effective mass of the hadron depends on $\mu$. We extend the HAL QCD method at $\mu=0$ to the case of $\mu \ne 0$, which allows us to extract the scattering phase shifts via the interaction potential. We have found that the interaction potential can depend on $\mu$ only through the effective mass while the scattering phase shifts, obtained by solving the Schr\"{o}dinger equation with the interaction potential, are independent of $\mu$. We also numerically analyze the S-wave scatterings of two pions with isospin $I=2$ and two

Author

Murakami, Kotaro; Itou, Etsuko; Iida, Kei

Published

2023

Language

EN