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2007

Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction

Beane, Silas R., Detmold, William, Luu, Thomas C. et al.

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The ground-state energies of 2, 3, 4 and 5 \pi^+'s in a spatial volume V (2.5 fm)^3 are computed with lattice QCD.

By eliminating the leading contribution from three-\pi^+ interactions, particular combinations of these n-\pi^+ ground-state energies provide precise extractions of the \pi^+\pi^+ scattering length in agreement with that obtained from calculations involving only two \pi^+'s.
The three-\pi^+ interaction can be isolated by forming other combinations of the n-\pi^+ ground-state energies.
We find a result that is consistent with a repulsive three-\pi^+ interaction for m_\pi < 352 MeV.

Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction · Around

Built on

K. Huang and C. N. Yang, Phys. Rev. 105
1957
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T. D. Lee, K. Huang, and C. N. Yang, Phys. Rev. 106
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T. T. Wu, Phys. Rev. 155
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Similar

M. Lüscher, Commun. Math. Phys. 105
1986
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G. P. Lepage, in From Actions to Answers: Proceedings of the TASI 1989
1990
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M. Lüscher, Nucl. Phys. B 354
1991
Cited alongside, same era.
S. R. Beane, et al
Original
Cited in the paper.
S. R. Beane, W. Detmold and M. J. Savage, arXiv:0707.1670 [hep-lat], to appear in Phys. Rev. D
Original
Cited in the paper.
S. Tan, arXiv:0709.2530 [cond-mat.stat-mech]
Original
Cited in the paper.

Then

M. M. Aggarwal et al
2003
Later among the works it cites.
C. Aubin et al
2004
Later among the works it cites.
R. G. Edwards [LHPC], B. Joó [UKQCD], arXiv:hep-lat/0409003, Nucl. Phys (Proc. Suppl) 140, 832 (2005)
Original
2005
Later among the works it cites.

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