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

Strakovsky, Igor; Širca, Simon; Briscoe, William J.; Deur, Alexandre; Schmidt, Axel; Workman, Ron L.

doi:10.1103/physrevc.105.045202

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

Journal Article · Wed Apr 13 00:00:00 EDT 2022 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.105.045202· OSTI ID:1863365

^[1]; Širca, Simon ^[2]; Briscoe, William J. ^[1]; Deur, Alexandre ^[3]; ^[1]; ^[1]

George Washington Univ., Washington, DC (United States)
Univ. of Ljubljana (Slovenia)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

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. Here, 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.

View Accepted Manuscript (DOE)

Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-06OR23177; SC0016582; SC0016583

OSTI ID:: 1863365

Report Number(s):: DOE/OR/23177-5476; JLAB-PHY-22-3602; arXiv:2201.06495

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 4 Vol. 105; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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