Publications
Publication Information
| Title | Spectral functions of nucleon form factors: Three-pion continua at low energies |
| Authors | Norbert Kaiser, Emilie Passemar |
| JLAB number | JLAB-THY-18-2862 |
| LANL number | (None) |
| Other number | DOE/OR/23177-4576 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | NSF |
|
Journal Compiled for European Physical Journal A Volume 55 Issue 2 Page(s) 16 Refereed | |
| Publication Abstract: | We study the imaginary parts of the isoscalar electromagnetic and isovector axial form factors of the nucleon close to the 3 pi-threshold in covariant baryon chiral perturbation theory. At the two-loop level, the contributions arising from leading and next-to-leading order chiral pi N-vertices, as well as pion-induced excitations of virtual Delta(1232)-isobars, are calculated. It is found that the heavy baryon treatment overestimates substantially these 3 pi-continua. From a phenomenological analysis, that includes the narrow omega(783)-resonance or the broad a_1-resonance, one can recognize small windows near threshold, where chiral 3 pi-dynamics prevails. However, in the case of the isoscalar electromagnetic form factors G_{E,M}^s(t), the radiative correction provided by the pi^0 gamma-intermediate state turns out to be of similar size. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1140/epja/i2019-12680-y |
| Accepted Manuscript: | Impart3pi_final1.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |