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Cottingham formula and nucleon polarisabilities

Gasser, Jürg ; Hoferichter, Martin ; Leutwyler, Heinrich ; Rusetsky, Akaki (2022)
Cottingham formula and nucleon polarisabilities.
In: The European Physical Journal C, 2015, 75 (8)
doi: 10.26083/tuprints-00012824
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Cottingham formula and nucleon polarisabilities
Language: English
Date: 2022
Place of Publication: Darmstadt
Year of primary publication: 2015
Publisher: Springer
Journal or Publication Title: The European Physical Journal C
Volume of the journal: 75
Issue Number: 8
Collation: 28 Seiten
DOI: 10.26083/tuprints-00012824
Corresponding Links:
Origin: Secondary publication
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.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-128244
Additional Information:

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

Classification DDC: 500 Science and mathematics > 530 Physics
Divisions: 05 Department of Physics > Institute of Nuclear Physics
Date Deposited: 02 Mar 2022 09:41
Last Modified: 23 Feb 2023 07:07
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/12824
PPN: 505226111
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