Sum rule for the Compton amplitude and implications for the proton–neutron mass difference
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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-12-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-020-08615-2 |
| id |
doaj-a3eb3c454d2c493493d2317a7e2906c8 |
|---|---|
| record_format |
Article |
| spelling |
doaj-a3eb3c454d2c493493d2317a7e2906c82020-12-06T12:49:39ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-12-01801212610.1140/epjc/s10052-020-08615-2Sum rule for the Compton amplitude and implications for the proton–neutron mass differenceJ. Gasser0H. Leutwyler1A. Rusetsky2Albert Einstein Center for Fundamental Physics, Institut für theoretische Physik, Universität BernAlbert Einstein Center for Fundamental Physics, Institut für theoretische Physik, Universität BernHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnAbstract 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 $$m_{\mathrm{QED}}^{p-n}=0.58\pm 0.16\,\text {MeV}$$ m QED p - n = 0.58 ± 0.16 MeV .https://doi.org/10.1140/epjc/s10052-020-08615-2 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
J. Gasser H. Leutwyler A. Rusetsky |
| spellingShingle |
J. Gasser H. Leutwyler A. Rusetsky Sum rule for the Compton amplitude and implications for the proton–neutron mass difference European Physical Journal C: Particles and Fields |
| author_facet |
J. Gasser H. Leutwyler A. Rusetsky |
| author_sort |
J. Gasser |
| title |
Sum rule for the Compton amplitude and implications for the proton–neutron mass difference |
| title_short |
Sum rule for the Compton amplitude and implications for the proton–neutron mass difference |
| title_full |
Sum rule for the Compton amplitude and implications for the proton–neutron mass difference |
| title_fullStr |
Sum rule for the Compton amplitude and implications for the proton–neutron mass difference |
| title_full_unstemmed |
Sum rule for the Compton amplitude and implications for the proton–neutron mass difference |
| title_sort |
sum rule for the compton amplitude and implications for the proton–neutron mass difference |
| publisher |
SpringerOpen |
| series |
European Physical Journal C: Particles and Fields |
| issn |
1434-6044 1434-6052 |
| publishDate |
2020-12-01 |
| description |
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 $$m_{\mathrm{QED}}^{p-n}=0.58\pm 0.16\,\text {MeV}$$ m QED p - n = 0.58 ± 0.16 MeV . |
| url |
https://doi.org/10.1140/epjc/s10052-020-08615-2 |
| work_keys_str_mv |
AT jgasser sumruleforthecomptonamplitudeandimplicationsfortheprotonneutronmassdifference AT hleutwyler sumruleforthecomptonamplitudeandimplicationsfortheprotonneutronmassdifference AT arusetsky sumruleforthecomptonamplitudeandimplicationsfortheprotonneutronmassdifference |
| _version_ |
1724398657372946432 |