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Two-nucleon higher partial-wave scattering from lattice QCD
Berkowitz, Evan Kurth, Thorsten Nicholson, Amy Joo, Balint Rinaldi, Enrico Strother, Mark Vranas, Pavlos M. Walker-Loud, Andre
Berkowitz, Evan
Kurth, Thorsten
Nicholson, Amy
Joo, Balint
Rinaldi, Enrico
Strother, Mark
Vranas, Pavlos M.
Walker-Loud, Andre
Abstract
We present a determination of nucleon-nucleon scattering phase shifts for l >= 0. The S, P, D and F phase shifts for both the spin-triplet and spin-singlet channels are computed with lattice Quantum ChromoDynamics. For t > 0, this is the first lattice QCD calculation using the Luscher finite-volume formalism. This required the design and implementation of novel lattice methods involving displaced sources and momentum-space cubic sinks. To demonstrate the utility of our approach, the calculations were performed in the SU(3)-flavor limit where the light quark masses have been tuned to the physical strange quark mass, corresponding to m(pi)=m(K)approximate to 800 MeV. In this work, we have assumed that only the lowest partial waves contribute to each channel, ignoring the unphysical partial wave mixing that arises within the finite-volume formalism. This assumption is only valid for sufficiently low energies; we present evidence that it holds for our study using two different channels. Two spatial volumes of V approximate to (3.5 fm)(3) and V approximate to (4.6 fm)(3) were used. The finite-volume spectrum is extracted from the exponential falloff of the correlation functions. Said spectrum is mapped onto the infinite volume phase shifts using the generalization of the Luscher formalism for two-nucleon systems. Published by Elsevier B.V.
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2018-02-10
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Physics
DOI
https://doi.org/10.1016/j.physletb.2016.12.024