On the f sum rule and its extensions

✍ Scribed by R. Cenni

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 149 KB
• Volume: 696
• Category: Article
• ISSN: 0375-9474
• DOI: 10.1016/s0375-9474(01)01151-4

✦ Synopsis

The f sum rule is derived in a nonrelativistic frame and connected, via Ward identities, to the twophoton term of the Compton 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 derived and provides nonperturbative results.