Multipion systems in lattice QCD and the three-pion interaction

Abstract

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.

Department

Physics

Publication Date

2-29-2008

Journal Title

Physical Review Letters

Publisher

AMERICAN PHYSICAL SOCIETY

Digital Object Identifier (DOI)

10.1103/PhysRevLett.100.082004

Document Type

Article

Rights

© 2008 The American Physical Society

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