Finite-volume Hamiltonian method for coupled-channels interactions in lattice QCD

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2014

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Wu, J.-J.
Lee, T.-S.
Thomas, A.
Young, R.

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Physical Review C: Nuclear Physics, 2014; 90(5):055206-1-055206-14

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Jia-Jun Wu, T.-S. H. Lee, A. W. Thomas, and R. D. Young

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Within a multichannel formulation of ππ 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-channels 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 parametrization 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.

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© 2014 American Physical Society

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