Two-baryon systems from HAL QCD method and the mirage in the temporal correlation of the direct method
In lattice QCD, both direct and HAL QCD potential methods are employed to study hadron interactions. In the direct method, the eigen-energy of two-body system is obtained from the temporal correlation function. The scattering phase shift is calculated by Luscher's finite volume formula, which should agree with HAL QCD method. However, for two-nucleon systems at heavier pion mass, there are different conclusions between two methods.
In the previous studies, we pointed out that the contamination of the scattering states leads to the fake eigen-energy in the direct method, which we call as "mirage", while HAL QCD method is free from such a problem.
In this talk, we will discuss the consistency between Luscher's finite volume method and HAL QCD method. We will also show the contamination of the scattering states and propose an improvement of the direct method via the potential.
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Hadron Spectroscopy and Interactions