Abstract
Measurements of the deuteron elastic magnetic structure function B(${\mathit{Q}}^{2}$) are reported at squared four-momentum transfer values 1.20\ensuremath{\le}${\mathit{Q}}^{2}$\ensuremath{\le}2.77 (GeV/c${)}^{2}$. Also reported are values for the proton magnetic form factor ${\mathit{G}}_{\mathit{M}\mathit{p}}$(${\mathit{Q}}^{2}$) at 11 ${\mathit{Q}}^{2}$ values between 0.49 and 1.75 (GeV/c${)}^{2}$. The data were obtained using an electron beam of 0.5 to 1.3 GeV. Electrons backscattered near 180\ifmmode^\circ\else\textdegree\fi{} were detected in coincidence with deuterons or protons recoiling near 0\ifmmode^\circ\else\textdegree\fi{} in a large solid-angle double-arm spectrometer system. The data for B(${\mathit{Q}}^{2}$) are found to decrease rapidly from ${\mathit{Q}}^{2}$=1.2 to 2 (GeV/c${)}^{2}$, and then rise to a secondary maximum around ${\mathit{Q}}^{2}$=2.5 (GeV/c${)}^{2}$. Reasonable agreement is found with several different models, including those in the relativistic impulse approximation, nonrelativistic calculations that include meson-exchange currents, isobar configurations, and six-quark configurations, and one calculation based on the Skyrme model. All calculations are very sensitive to the choice of deuteron wave function and nucleon form factor parametrization. The data for ${\mathit{G}}_{\mathit{M}\mathit{p}}$(${\mathit{Q}}^{2}$) are in good agreement with the empirical dipole fit.
Highlights
Electron-deuteron scattering has long been the subject of intense theoretical and experimental studies
The gates for the recoil arm analog-to-digital converters (ADC's), the start signals for the to-digital converters (TDC's), and the latch gate for the wire chambers all came from the trigger defined by the electron arm electronics, suitably delayed at each kinematic setting to account for the variation in TOF between back-scattered electrons and forward recoil particles
The boundaries among different models are hard to define, an attempt will be made to separate them into the following categories: nonrelativistic impulse approximation (NRIA), relativistic impulse approximation (RIA), meson exchange current (MEC) and isobar (IC), hybrid quark models, the Skyrmion model, and perturbative quantum chromodynamics (PQCD)
Summary
Electron-deuteron scattering has long been the subject of intense theoretical and experimental studies. Relativistic calculations have been done both using light-front dynamics and in the instant frame solving the Bethe-Salpeter equation These calculations generally have not included two-body currents. To provide constraints on these models and to improve our fundamental understanding of the strong nuclear force, we made measurements of the magnetic form factor at Q values extending from 1.20 to 2.77 (GeV/c). This more than doubles the kinematic range of previously available data, and covers the region where most, but not all, models predict a diffraction minimum and a secondary maximum.
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