Multipion systems in lattice QCD and the three-pion interaction
The ground-state energies of 2, 3, 4, and 5 pi(+)'s in a spatial volume V similar to(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)less than or similar to 352 MeV.
Physical Review Letters
AMERICAN PHYSICAL SOCIETY
Digital Object Identifier (DOI)
Beane, Silas R.; Detmold, William; Luu, Thomas C.; Originos, Kostas; Savage, Martin J.; and Torok, Aaron, "Multipion systems in lattice QCD and the three-pion interaction" (2008). Physical Review Letters. 130.
© 2008 The American Physical Society