Single-pion contribution to the Gerasimov-Drell-Hearn sum rule and related integrals - INSPIRE

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Single-pion contribution to the Gerasimov-Drell-Hearn sum rule and related integrals

Igor Strakovsky
(
- George Washington U.
)
,
Simon Širca
(
- Ljubljana U.
)
,
William J. Briscoe
(
- George Washington U.
)
,
Alexandre Deur
(
- Jefferson Lab
)
,
Axel Schmidt
(
- George Washington U.
)

Jan 17, 2022

12 pages

Published in:

Phys.Rev.C 105 (2022) 4, 045202

Published: Apr 13, 2022

e-Print:

2201.06495 [nucl-th]

DOI:

10.1103/PhysRevC.105.045202 (publication)

View in:

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Abstract: (APS)

Phenomenological amplitudes obtained in partial-wave analyses (PWA) of single-pion photoproduction are used to evaluate the contribution of this process to the Gerasimov-Drell-Hearn (GDH), Baldin, and Gell-Mann–Goldberger–Thirring (GGT) sum rules, by integrating up to

2 GeV

in photon energy. Our study confirms that the single-pion contribution to all these sum rules converges even before the highest considered photon energy, but the levels of saturation are very different in the three cases. Single-pion production almost saturates the GDH sum rule for the proton, while a large fraction is missing in the neutron case. The Baldin integrals for the proton and the neutron are both saturated to about four fifths of the predicted total strength. For the GGT sum rule, the wide variability in predictions precludes any definitive statement.

Note:

12 pages, 7 figure, 3 tables; discussion refined, references added, Minor fixes to the authorship list found during production; acknowledgement added; final version accepted by Phys Rev C

photon: energy
sum rule: Drell-Hearn-Gerasimov
pi: production
photoproduction
partial wave
saturation

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Figures(25)

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