Back to Search
Start Over
Sum rule for the Compton amplitude and implications for the proton-neutron mass difference
- Publication Year :
- 2020
-
Abstract
- The Cottingham formula expresses the leading contribution of the electromagnetic interaction to the proton-neutron mass difference as an integral over the forward Compton amplitude. Since quarks and gluons reggeize, the dispersive representation of this amplitude requires a subtraction. We assume that the asymptotic behaviour is dominated by Reggeon exchange. This leads to a sum rule that expresses the subtraction function in terms of measurable quantities. The evaluation of this sum rule leads to $m_{QED}^{p-n}=0.58\pm 0.16\,\mbox{MeV}$.<br />Comment: 26 pages, 9 figures. Update, matches the version published in EPJC
- Subjects :
- High Energy Physics - Phenomenology
High Energy Physics - Lattice
Nuclear Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2008.05806
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1140/epjc/s10052-020-08615-2