New sum rule for the nuclear magnetic polarizability

Abstract

I extend the well-known photonuclear sum rule that relates the strength of the photoexcitation of the giant dipole resonance in a nucleus to the number of elementary scatterers-nucleons to the case of virtual photons. The new sum rule relates the size of the magnetic polarizability of a nucleus to the slope of the transverse virtual photoabsorption cross section integrated over the energy in the nuclear range. I check this sum rule for the deuteron where necessary data is available, discuss possible applications and connection with other sum rules postulated in the literature.

5 pages, 2 figures, 1 table. Revised version submitted to Phys. Rev. Lett. Fig.1 changed, references added, acknowledgments expanded

References in corpus (4)

• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Direct Detection of Stealth Dark Matter through Electromagnetic Polarizability
• Improved estimates of the nuclear structure corrections in $\mu$D
• Nuclear structure effects in light muonic atoms

Cited by in corpus (5)

• Comprehensive theory of the Lamb shift in light muonic atoms
• Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions
• Dispersive evaluation of the Lamb shift in muonic deuterium from chiral effective field theory
• Electromagnetic characteristics of $A\le 3$ physical and lattice nuclei
• Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory