Incompatibility of multipole predictions for the nucleon spin-polarizability and Drell-Hearn-Gerasimov sum rules

Journal Article · Thu Dec 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.R6681· OSTI ID:7098038

Sandorfi, A M ^[1]; Whisnant, C S ^[2]; Khandaker, M ^[3]

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1. Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)
2. Department of Physics, University of South Carolina, Columbia, South Carolina 29208 (United States)
3. Physics Department, Virginia Polytechnic Institute SU, Blacksburg, Virginia 24061 (United States) Physics Department, Brookhaven National Laboratory, Upton, New York 11973 (United States)

Energy-weighted integrals of the difference in helicity-dependent photoreaction cross sections ([sigma][sub 1/2]-[sigma][sub 3/2]) provide information on the nucleon's spin-dependent polarizability ([gamma]), and on the spin-dependent part of the asymptotic forward Compton amplitude through the Drell-Hearn-Gerasimov (DHG) sum rule. Estimates from current [pi]-photoproduction multipole analyses, particularly for the [ital proton]-[ital neutron] [ital difference], are in good agreement with relativistic-one-loop chiral calculations for [gamma] but predict large deviations from the DHG sum rule. Either (a) [ital both] the two-loop corrections to the spin-polarizability are large [ital and] the existing multipoles are wrong, [ital or] (b) modifications to the Drell-Hearn-Gerasimov sum rule are required to fully describe the isospin structure of the nucleon.

• DOE Contract Number: AC02-76CH00016
• OSTI ID: 7098038
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:11; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662130* -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
662330 -- Photon & Charged-Lepton Interactions with Hadrons-- (1992)
663300 -- Nuclear Reactions & Scattering
General-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
BASIC INTERACTIONS
BOSONS
CHIRAL SYMMETRY
COMPATIBILITY
COMPTON EFFECT
CROSS SECTIONS
DRELL MODEL
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
HADRONS
HELICITY
INTERACTIONS
MESONS
MULTIPOLES
NUCLEONS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
PARTICLE PROPERTIES
PHOTOPRODUCTION
PIONS
POLARIZATION
PSEUDOSCALAR MESONS
SCATTERING
SUM RULES
SYMMETRY