Mesonic Corrections to the Quadrupole Moment of the Deuteron

Abstract

Mesonic corrections to the quadrupole moment of the deuteron are calculated by means of the method of Tamm and Dancoff. Only the two-nucleon and two-nucleon—one-meson amplitudes are included. The first is associated with a phenomenological wave function for the deuteron, the second yielding a correction to the quadrupole moment. A correction exists even in neutral scalar theory, and for pseudoscalar (pseudoscalar) symmetric theory the result in adiabatic approximation to second order is $\Delta Q=3.1\mathrm{}$ percent or $\Delta Q=-0.7\mathrm{}$ percent, depending on choice of wave functions (assuming $\frac{g^2}{4\pi }=10\mathrm{}$). Contributions from multiple meson amplitudes are examined, and for a hard-core deuteron function they are shown to contribute only slightly.