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Cottingham formula and nucleon polarisabilities

Gasser, Jürg ; Hoferichter, Martin ; Leutwyler, Heinrich ; Rusetsky, Akaki (2015)
Cottingham formula and nucleon polarisabilities.
In: The European Physical Journal C, 75 (8)
doi: 10.1140/epjc/s10052-015-3580-9
Artikel, Bibliographie

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Kurzbeschreibung (Abstract)

The difference between the electromagnetic selfenergies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections – provided the nucleon matrix elements of the current commutator do not contain a fixed pole. We show that, under the same proviso, the subtraction function occurring in the dispersive representation of the virtual Compton forward scattering amplitude is determined by the cross sections. The representation in particular leads to a parameter-free sum rule for the nucleon polarisabilities. We evaluate the sum rule for the difference between the electric polarisabilities of proton and neutron by means of the available parameterisations of the data and compare the result with experiment.

Typ des Eintrags: Artikel
Erschienen: 2015
Autor(en): Gasser, Jürg ; Hoferichter, Martin ; Leutwyler, Heinrich ; Rusetsky, Akaki
Art des Eintrags: Bibliographie
Titel: Cottingham formula and nucleon polarisabilities
Sprache: Englisch
Publikationsjahr: 2015
Verlag: Springer
Titel der Zeitschrift, Zeitung oder Schriftenreihe: The European Physical Journal C
Jahrgang/Volume einer Zeitschrift: 75
(Heft-)Nummer: 8
Kollation: 28 Seiten
DOI: 10.1140/epjc/s10052-015-3580-9
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Kurzbeschreibung (Abstract):

The difference between the electromagnetic selfenergies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections – provided the nucleon matrix elements of the current commutator do not contain a fixed pole. We show that, under the same proviso, the subtraction function occurring in the dispersive representation of the virtual Compton forward scattering amplitude is determined by the cross sections. The representation in particular leads to a parameter-free sum rule for the nucleon polarisabilities. We evaluate the sum rule for the difference between the electric polarisabilities of proton and neutron by means of the available parameterisations of the data and compare the result with experiment.

Zusätzliche Informationen:

Link zum Erratum: urn:nbn:de:tuda-tuprints-208000

Sachgruppe der Dewey Dezimalklassifikatin (DDC): 500 Naturwissenschaften und Mathematik > 530 Physik
Fachbereich(e)/-gebiet(e): 05 Fachbereich Physik
05 Fachbereich Physik > Institut für Kernphysik
Hinterlegungsdatum: 02 Aug 2024 12:38
Letzte Änderung: 02 Aug 2024 12:38
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