Publications
Publication Information
| Title | Form factors of two-hadron states from a covariant finite-volume formalism |
| Authors | Raul Briceno, Felipe Ortega-Gama, Max Hansen, Alessandro Baroni |
| JLAB number | JLAB-THY-18-2878 |
| LANL number | arXiv:1812.10504 |
| Other number | DOE/OR/23177-4598 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
|
Journal Compiled for Physical Review D Volume 100 Page(s) 034511 Refereed | |
| Publication Abstract: | In this work we develop a Lorentz-covariant version of the previously derived formalism for relating finite-volume matrix elements to 2 + J ? 2 transitions. We also give various details relevant for the implementation of this formalism in a realistic numerical lattice QCD calculation. Particular focus is given to the role of single-particle form factors (1 + J ? 1 transitions) in disentangling finite-volume effects from the triangle diagram that arises when J couples to one of the two hadrons. This also leads to a new finite-volume function, denoted G, the numerical evaluation of which is described in detail. As an example we discuss the determination of the ?? + J ? ?? amplitude in the ? channel, for which the single-pion form factor, F?(Q2), as well as the scattering phase, ???, are required to remove all power-law finite-volume effects. The formalism presented here holds for local currents with arbitrary Lorentz structure, and we give specific examples of insertions with up to two Lorentz indices. |
| Experiment Numbers: | |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.100.034511 |
| Accepted Manuscript: | PhysRevD.100.034511.pdf |
| Supporting Documents: | |
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