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Finite-volume Hamiltonian method for coupled channel interactions in lattice QCD
- Source :
- Phys. Rev. C 90, 055206 (2014)
- Publication Year :
- 2014
-
Abstract
- Within a multi-channel formulation of $\pi\pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolve scattering observables from lattice QCD spectra. The asymptotic matching of the well-known L\"uscher formalism encodes a unique finite-volume spectrum. Nevertheless, in many practical situations, such as coupled-channel systems, it is advantageous to interpolate isolated lattice spectra in order to extract physical scattering parameters. Here we study the use of the Hamiltonian framework as a parameterisation that can be fit directly to lattice spectra. We find that with a modest amount of lattice data, the scattering parameters can be reproduced rather well, with only a minor degree of model dependence.<br />Comment: 25 pages, 16 figures
- Subjects :
- High Energy Physics - Lattice
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. C 90, 055206 (2014)
- Publication Type :
- Report
- Accession number :
- edsarx.1402.4868
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevC.90.055206