Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD

Details Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD

2012-02-09

arxiv.org/abs/1202.2145v2

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages, 2 figures, three references added

Scientific paper

We derive the relation between the scattering phase shift and the two-particle energy in the finite box, which is relevant for extracting the strong phase shifts in lattice QCD. We consider elastic scattering of two particles with different mass and with non-zero total momentum in the lattice frame. This is a generalization of the Luscher formula, which considers zero total momentum, and the generalization of Rummukainen-Gottlieb's formula, which considers degenerate particles with non-zero total momentum. We focus on the most relevant total momenta in practice, i.e. P=(2\pi/L) e_z and P=(2\pi/L) (e_x+e_y) including their multiples and permutations. We find that the P-wave phase shift can be reliably extracted from the two-particle energy if the phase shifts for l>=2 can be neglected, and we present the corresponding relations. The reliable extraction of S-wave phase shift is much more challenging since delta(l=0) is always accompanied by delta(l=1) in the phase shift relations, and we propose strategies for estimating delta(l=0). We also propose the quark-antiquark and meson-meson interpolators that transform according the considered irreducible representations.

Affiliated with

Also associated with

No associations

Rating

Scattering phase shifts for two particles of different mass and non-zero total momentum in 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 Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-274041