The triton in a finite volume
arXiv:1008.4499 · doi:10.1016/j.physletb.2010.10.003
Abstract
Understanding the volume dependence of the triton binding energy is an important step towards lattice simulations of light nuclei. We calculate the triton binding energy in a finite cubic box with periodic boundary conditions to leading order in the pionless effective field theory. Higher order corrections are estimated and the proper renormalization of our results is verified explicitly. We present results for the physical triton as well as for the pion-mass dependence of the triton spectrum near the ``critical'' pion mass, Mpi_c ~ 197 MeV, where chiral effective field theory suggests that the nucleon-nucleon scattering lengths in the singlet- and triplet-channels diverge simultaneously. An extension of the Luescher formula to the three-body system is implicit in our results.
11 pages, 4 figures
References in corpus (7)
- High Statistics Analysis using Anisotropic Clover Lattices: (II) Three-Baryon Systems
- Efimov physics in a finite volume
- Lattice chiral effective field theory with three-body interactions at next-to-next-to-leading order
- Hadronic Interactions from Lattice QCD
- The Three-Nucleon System at Next-To-Next-To-Leading Order
- More on the infrared renormalization group limit cycle in QCD
- Pion-mass dependence of three-nucleon observables