Jump to content

Ericson-Ericson Lorentz-Lorenz correction: Difference between revisions

Edit links
From Wikipedia, the free encyclopedia
Next edit →
Content deleted Content added
VisualWikitext
New nuclear physics stub.
(No difference)

Revision as of 16:44, 26 November 2021

Ericson-Ericson Lorentz-Lorenz correction, some times called an effect, refers to an analogy in the interface between nuclear, atomic and particle physics, which in its  simplest form corresponds to the well known Lorentz-Lorenz and Clausius-Mosetti effects for light in a refractive medium.[1]

The correction was predicted in 1963 by Magda Ericson[2] and derived in 1966 with Torleif Ericson[3] as a general consequence of the pion dipole scattering when the nucleons are kept apart.[4]

It was applied to the line shifts of hydrogen-like atoms, where the electron in the Coulomb field is replaced by a negatively charged pion. Its interaction with the central nucleus causes deviations in the line positions in such Bohr-like atoms.[5]

The effect has since been re-derived in various ways, but is now understood as a general effect when the nucleons keep their individuality independent of details. It also explains why in the molecular case of the classical Lorentz-Lorenz effect so many incompatible derivations give the same result.[4]

The effect has provided the initial stimulus to understand the pion-nucleus many-body problem.[4][6]

The effect has also found applications in other contexts of pionic phenomena in nuclei such as the modification of the coupling strength of beta-decay,[2][7] pion scattering[4][8] axial locality.[8]

References

  1. ^ Baym, Gordon; Brown, G.E. (1975). "The Lorentz-Lorenz correction". Nuclear Physics A. 247 (3): 395–410. doi:10.1016/0375-9474(75)90131-1.
  2. ^ a b Ericson, Magda (1963). "Niveaux d'énergie d'atomes mésiques". Compt. Rend. 257: 3831–3834.
  3. ^ Ericson, M; Ericson, T.E.O (1966). "Optical properties of low-energy pions in nuclei". Annals of Physics. 36 (3): 323–362. doi:10.1016/0003-4916(66)90302-2.
  4. ^ a b c d Brown, G.E. (1990). "The Ericson-Ericson Lorentz-Lorenz correction". Nuclear Physics A. 518 (1–2): 99–115. doi:10.1016/0375-9474(90)90537-V.
  5. ^ Gotta, D (2004). "Precision spectroscopy of light exotic atoms". Progress in Particle and Nuclear Physics. 52 (1): 133–195. doi:10.1016/j.ppnp.2003.09.003.
  6. ^ Brown, G (1979). "The pion-nucleus many-body problem". Physics Reports. 50 (4): 227–253. doi:10.1016/0370-1573(79)90054-1.
  7. ^ Bernabéu, José (2010). "Axial polarizability and weak currents in nuclei". Ericson-Ericson contribution to electro-weak interactions (Presentation held at Celebration in Honour of Magda and Torleif Ericson's 80th Birthday.). Geneva: CERN. pp. Slide 11. doi:10.5281/zenodo.5730030.
  8. ^ a b Ericson, Torleif Erik Oskar; Weise, Wolfram (1988). Pions and Nuclei. Clarendon Press. ISBN 978-0-19-852008-5.

Further reading

  • Spin excitations in nuclei, Fred Petrovich (ed.), Springer (1982)[1], see in particlular Brown's contribution.[2]
  • Mesons in nuclei, Denys H. Wilkinson and Mannque Rho, North-Holland (1979)[3]
  • Progress in Particle and Nuclear Physics, see vol. 1 (1978)
  1. ^ Petrovich, Fred (1982). Spin Excitations in Nuclei. Springer Science & Business Media. pp. 233–236. ISBN 978-1-4684-4706-4.
  2. ^ Brown, G. E. (1984), Petrovich, F.; Brown, G. E.; Garvey, G. T.; Goodman, C. D. (eds.), "Meson Exchange Models for Effective Interactions", Spin Excitations in Nuclei, Boston, MA: Springer US, pp. 233–248, doi:10.1007/978-1-4684-4706-4_15, ISBN 978-1-4684-4708-8, retrieved 2021-11-26
  3. ^ Mesons in Nuclei. North Holland Publishing Company. 1979. ISBN 978-0-444-85052-2.
Retrieved from "https://en.wikipedia.org/w/index.php?title=Ericson-Ericson_Lorentz-Lorenz_correction&oldid=1057280343"