Lattice QCD studies on baryon interactions from Lüscher's finite volume method and HAL QCD method
Iritani, Takumi · Collaboration, for HAL QCD
Original · EN
A comparative study between the Lüscher's finite volume method and the time-dependent HAL QCD method is given for the ΞΞ(¹S₀) interaction as an illustrative example. By employing the smeared source and the wall source for the interpolating operators, we show that the effective energy shifts ΔE eff (t) in Lüscher's method do not agree between different sources, yet both exhibit fake plateaux. On the other hand, the interaction kernels V(r) obtained from the two sources in the HAL QCD method agree with each other already for modest values of t. We show that the energy eigenvalues ΔE(L) in finite lattice volumes (L³) calculated by V(r) indicate that there is no bound state in the ΞΞ(¹S₀) channel at mπ=0.51 GeV in 2+1 flavor QCD.
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