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S-wave pi-K scattering length from lattice QCD · Around

2009

S-wave pi-K scattering length from lattice QCD

Sasaki, Kiyoshi, Ishizuka, Naruhito, Yamazaki, Takeshi et al.

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The $S$-wave $\pi K$ scattering lengths are calculated for both the isospin 1/2 and 3/2 channels in the lattice QCD by using the finite size formula.

We perform the calculation with $N_f=2+1$ gauge configurations generated on $32^3 \times 64$ lattice using the Iwasaki gauge action and nonperturbatively $O(a)$-improved Wilson action at $1/a = 2.17$ GeV.
The quark masses correspond to $m_\pi = 0.30 - 0.70$ GeV.
For $I=1/2$, to separate the contamination from excited states, we construct a $2 \times 2$ matrix of the time correlation function and diagonalize it.

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