Chang, C. C., Bouchard, C. , Orginos, K. and Richards, D. (2016) Matrix Elements From Moments of Correlation Functions. In: 34th Annual International Symposium on Lattice Field Theory, Southampton, UK, 24-30 Jul 2016,
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Abstract
Momentum-space derivatives of matrix elements can be related to their coordinate-space moments through the Fourier transform. We derive these expressions as a function of momentum transfer Q^2 for asymptotic in/out states consisting of a single hadron. We calculate corrections to the finite volume moments by studying the spatial dependence of the lattice correlation functions. This method permits the computation of not only the values of matrix elements at momenta accessible on the lattice, but also the momentum-space derivatives, providing a priori information about the Q^2 dependence of form factors. As a specific application we use the method, at a single lattice spacing and with unphysically heavy quarks, to directly obtain the slope of the isovector form factor at various Q^2, whence the isovector charge radius. The method has potential application in the calculation of any hadronic matrix element with momentum transfer, including those relevant to hadronic weak decays.
| Item Type: | Conference Proceedings |
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| Additional Information: | The work was supported by the U.S. Department of Energy (DOE), Office of Science, Early Career Research Program under FWP Number NQCDAWL (CCC) and by the DOE, Office of Science, Office of Nuclear Physics under Contract No. DE-AC02-05CH11231 (CCC), DE-FG02- 04ER41302 (CMB, KNO), and DE-AC05-06OR23177 (KNO, DGR). |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Bouchard, Dr Chris |
| Authors: | Chang, C. C., Bouchard, C., Orginos, K., and Richards, D. |
| Subjects: | Q Science > QC Physics |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Copyright Holders: | Copyright © 2016 The Authors |
| First Published: | First published in 34th Annual International Symposium on Lattice Field Theory 2016 |
| Publisher Policy: | Reproduced under a Creative Commons License |
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