24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

Baryon interactions in lattice QCD: the direct method vs. the HAL QCD potential method

28 Jul 2016, 16:30
Building B2a Room 2065 (Highfield Campus, University of Southampton)

Building B2a Room 2065

Highfield Campus, University of Southampton

Talk Hadron Spectroscopy and Interactions Hadron Spectroscopy and Interactions


Dr Takumi Iritani (Stony Brook University)


In lattice QCD, both direct method for eigen-energy extraction and HAL QCD method for potential are employed so far to study hadron interactions. The scattering phase shifts, for example, are obtained through the Luscher’s finite volume formula for the former, but they are calculated via the Schroedinger equation with the potential in the infinite volume for the latter. Although both methods should agree in principle, some systematically different conclusions are reported for existences of bound states in the previous studies: while the potential shows no sign of the bound state in two nucleon systems at heavier pion masses, for example, the eigen-energy indicates its existence. In this work, we clarify that these discrepancies come from a failure of the eigen-energy extraction for the ground state due to the contamination of excited states in time correlation functions, while the HAL QCD potential method is free from this problem. We finally establish consistencies between two lattice QCD approaches, and propose an improved extraction of eigen-energy for the time correlation functions using energy eigen-functions obtained from the HAL QCD potential.

Primary author

Dr Takumi Iritani (Stony Brook University)

Presentation Materials

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