Publications
Publication Information
| Title | Consistency checks for two-body finite-volume matrix elements: II. Perturbative systems |
| Authors | Raul Briceno, Maxwell Hansen, Andrew Jackura |
| JLAB number | JLAB-THY-19-3113 |
| LANL number | (None) |
| Other number | DOE/OR/23177-4865 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | de-sc0019229 |
|
Journal Compiled for Physical Review D Volume 101 Page(s) 094508 Refereed | |
| Publication Abstract: | There is a broad need to study form-factor of multihadron states, from understanding the na- ture of hadronic resonances and bound-states in terms of their constituent quarks and gluons to the manifestation of beyond the Standard Model physics at low energies. With this goal in mind, a framework was developed to determine two-hadron form-factors by relating finite-volume matrix ele- ments, computed from lattice QCD, to infinite-volume $\mathbf{2}+\mathcal{J} \to \mathbf{2}$ electroweak transition amplitudes. Following earlier studies of the formalism, we continue to provide non-trivial consistency checks in order to gain confidence in the framework. We explore the non-relativistic limit of a two-hadron system probed by a scalar current, showing that near threshold the finite-volume matrix element can be expressed as a series in the inverse volume of the box. We provide two confirmations of the analytic expansion. First, we evaluate the exact result numerically and explore the asymptotically large-volume limit. Second, we perform an independent analytical determination of the matrix ele- ment using time-ordered perturbation theory. This is similar in spirit to existing calculations in the literature, but unlikely previous result we include all diagrams appearing at the desired order. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.101.094508 |
| Accepted Manuscript: | PhysRevD.101.094508.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |