Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction
Oct, 2007
4 pages
Published in:
- Phys.Rev.Lett. 100 (2008) 082004
e-Print:
- 0710.1827 [hep-lat]
Report number:
- NT-UW-07-15,
- UNH-07-04,
- UCRL-JRNL-2325354,
- JLAB-THY-07-735
Citations per year
Abstract: (arXiv)
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.Note:
- 4 pages, 5 figures
- 12.38.Gc
- quantum chromodynamics
- lattice field theory
- pi: many-body problem
- energy: ground state
- pi+ pi+: scattering length
- interaction: (3pi)
- numerical calculations: Monte Carlo
References(13)
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