Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-08-26
Physics
High Energy Physics
High Energy Physics - Lattice
12 pages, 7 figs, v2 - typos fixed
Scientific paper
Volume modifications to the binding of two-body systems in large cubic volumes of extent L depend upon the total momentum and exponentially upon the ratio of L to the size of the boosted system. Recent work by Bour et al determined the momentum dependence of the leading volume modifications to nonrelativistic systems with periodic boundary conditions imposed on the single-particle wavefunctions, enabling them to numerically determine the scattering of such bound states using a low-energy effective field theory and Luscher's finite-volume method. The calculation of bound nuclear systems directly from QCD using Lattice QCD has begun, and it is important to reduce the systematic uncertainty introduced into such calculations by the finite spatial extent of the gauge-field configurations. We extend the work of Bour et al from nonrelativistic quantum mechanics to quantum field theory by generalizing the work of Luscher and of Gottlieb and Rummukainen to boosted two-body bound states. The volume modifications to binding energies can be exponentially reduced from ~ e^{-kappa L}/L to ~ e^{-2 kappa L}/L in nonrelativistic systems (where kappa is the binding momentum of the state) by forming particular combinations of the binding energies determined in the four lowest-lying boosted systems. Relativistic corrections to this combination, and others, that violate the exponential reduction are determined. An analysis of what can be expected from Lattice QCD calculations of the deuteron is performed, the results of which are representative of a generic loosely bound system.
Davoudi Zohreh
Savage Martin J.
No associations
LandOfFree
Improving the Volume Dependence of Two-Body Binding Energies Calculated with Lattice QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Improving the Volume Dependence of Two-Body Binding Energies Calculated with Lattice QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Improving the Volume Dependence of Two-Body Binding Energies Calculated with Lattice QCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-502904