Document Type
Article
Publication Date
12-2019
DOI
10.1103/PhysRevD.100.114505
Publication Title
Physical Review D
Volume
100
Issue
11
Pages
114505 (1-17 pp.)
Abstract
Recently, a framework has been developed to study form factors of two-hadron states probed by an external current. The method is based on relating finite-volume matrix elements, computed using numerical lattice QCD, to the corresponding infinite-volume observables. As the formalism is complicated, it is important to provide nontrivial checks on the final results and also to explore limiting cases in which more straightforward predictions may be extracted. In this work we provide examples on both fronts. First, we show that, in the case of a conserved vector current, the formalism ensures that the finite-volume matrix element of the conserved charge is volume independent and equal to the total charge of the two-particle state. Second, we study the implications for a two-particle bound state. We demonstrate that the infmite-volume limit reproduces the expected matrix element and derive the leading finite-volume corrections to this result for a scalar current. finally, we provide numerical estimates for the expected size of volume effects in future lattice QCD calculations of the deuteron's scalar charge. We find that these effects completely dominate the infinite-volume result for realistic lattice volumes and that applying the present formalism, to analytically remove an infinite series of leading volume corrections, is crucial to reliably extract the infinite-volume charge of the state.
Original Publication Citation
Briceno, R. A., Hansen, M. T., & Jackura, A. W. (2019). Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states. Physical Review D, 100(11), 114505 doi:10.1103/PhysRevD.100.114505
ORCID
0000-0003-1109-1473 (Briceño), 0000-0002-3249-5410 (Jackura)
Repository Citation
Briceño, Raúl A.; Hansen, Maxwell T.; and Jackura, Andrew W., "Consistency Checks for Two-Body Finite-Volume Matrix Elements: Conserved Currents and Bound States" (2019). Physics Faculty Publications. 409.
https://digitalcommons.odu.edu/physics_fac_pubs/409
Comments
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.