English

On the f Sum Rule and its Extensions

Nuclear Theory 2009-11-06 v2

Abstract

The ff sum rule is derived in a non-relativistic frame and connected, via Ward Identities, to the low energy Thomson scattering. A generalisation to isospin symmetry in the nuclear case is discussed and linked to the Meson Exchange Currents. The extension to a fully relativistic theory is then discussed and it is shown that the energy-weighted sum rule becomes a relation between the particle-hole and particle-antiparticle emission. Moreover the generalisation to isospin symmetry is also allowed and provides non-perturbative results.

Keywords

Cite

@article{arxiv.nucl-th/0010033,
  title  = {On the f Sum Rule and its Extensions},
  author = {Rinaldo Cenni},
  journal= {arXiv preprint arXiv:nucl-th/0010033},
  year   = {2009}
}

Comments

Accepted by Nucl. Phys A

R2 v1 2026-07-22T18:23:58.531Z