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Nuclear Polarization Effects in Muonic Atoms

Abstract

We illustrate how nuclear polarization corrections in muonic atoms can be formally connected to inelastic response functions of a nucleus. We first discuss the point-nucleon approximation and then include finite-nucleon-size corrections. As an example, we compare our ab-initio calculation of the third Zemach moment in μ 4He+ to previous phenomenological results.

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References

  1. 1

    Pohl R. et al.: The size of the proton nature. 466, 213 (2010)

    Google Scholar 

  2. 2

    Antognini A. et al.: Proton structure from the measurement of 2S-2P transition frequencies of muonic hydrogen. Science 339, 417 (2013)

    ADS  Article  Google Scholar 

  3. 3

    Mohr P.J., Taylor B.N., Newell D.B.: CODATA recommended values of the fundamental physical constants: 2010. Rev. Mod. Phys. 84, 1527 (2012)

    ADS  Article  Google Scholar 

  4. 4

    Antognini A. et al.: Illuminating the proton radius conundrum: the μ He + lamb shift. Can. J. Phys. 89, 47 (2011)

    ADS  Article  Google Scholar 

  5. 5

    Borie E., Rinker G.A.: The energy levels of muonic atoms. Rev. Mod. Phys. 54, 67 (1982)

    ADS  Article  Google Scholar 

  6. 6

    Borie E.: Lamb shift in light muonic atoms: revisited. Ann. Phys. 327, 733 (2012)

    ADS  Article  MATH  Google Scholar 

  7. 7

    Ji C., Nevo Dinur N., Bacca S., Barnea N.: Nuclear polarization corrections to the μ 4 He + lamb shift. Phys. Rev. Lett 111, 143402 (2013)

    ADS  Article  Google Scholar 

  8. 8

    Leidemann W., Rosenfelder R.: Deuteron nuclear polarization shifts with realistic potentials. Phys. Rev. C 51, 427 (1995)

    ADS  Article  Google Scholar 

  9. 9

    Pachucki K.: Nuclear structure corrections in muonic deuterium. Phys. Rev. Lett. 106, 193007 (2011)

    ADS  Article  Google Scholar 

  10. 10

    Friar J.L.: Nuclear polarization corrections to μ-d atoms in zerorange approximation. Phys. Rev. C 88, 034003 (2013)

    ADS  Article  Google Scholar 

  11. 11

    Friar J.L., Payne G.L.: Higher order nuclear polarizability corrections in atomic hydrogen. Phys. Rev. C 56, 619 (1997)

    ADS  Article  Google Scholar 

  12. 12

    Friar J.L., Payne G.L.: Higher order nuclear size corrections in atomic hydrogen. Phys. Rev. A 56, 5173 (1997)

    ADS  Article  Google Scholar 

  13. 13

    Friar J.L., Payne G.L.: Nuclear corrections to hyperfine structure in light hydrogenic atoms. Phys. Rev. C 72, 014002 (2005)

    ADS  Article  Google Scholar 

  14. 14

    Friar J.L.: Nuclear finite-size effects in light muonic atoms. Ann. Phys. 122, 151 (1979)

    ADS  Article  Google Scholar 

  15. 15

    Sick I.: Precise root-mean-square radius of 4 He. Phys. Rev. C 77, 041302 (2008)

    ADS  Article  Google Scholar 

Download references

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Correspondence to N. Barnea.

Additional information

This work is supported in parts by the Natural Sciences and Engineering Research Council (NSERC), the National Research Council of Canada, and the Israel Science Foundation (Grant Number 954/09).

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Ji, C., Nevo Dinur, N., Bacca, S. et al. Nuclear Polarization Effects in Muonic Atoms. Few-Body Syst 55, 917–921 (2014). https://doi.org/10.1007/s00601-014-0809-3

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Keywords

  • Lamb Shift
  • Muonic Atom
  • Proton Charge
  • Charge Form Factor
  • Nuclear Charge Radius