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Dynamic screening in solar and stellar nuclear reactions

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Abstract

In the hot, dense plasma of solar and stellar interiors, the Coulomb interaction is screened by the surrounding plasma. Although the standard Salpeter approximation for static screening is widely accepted and used in stellar modeling, the question of dynamic screening has been revisited. In particular, Shaviv and Shaviv apply the techniques of molecular dynamics to the conditions in the solar core in order to numerically determine the dynamic screening effect. By directly calculating the motion of ions and electrons due to Coulomb interactions, they compute the effect of screening without the mean-field assumption inherent in the Salpeter approximation. Here we reproduce their numerical analysis of the screening energy in the plasma of the solar core and conclude that the effects of dynamic screening are relevant and should be included in the treatment of the plasma, especially in the computation of stellar nuclear reaction rates.

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References

  • Asplund, M., Grevesse, N., Sauval, A.J., Scott, P.: Annu. Rev. Astron. Astrophys. 47, 481 (2009)

    Article  ADS  Google Scholar 

  • Bahcall, J.N., Brown, L.S., Gruzinov, A., Sawyer, R.F.: Astron. Astrophys. 383, 291 (2002)

    Article  ADS  Google Scholar 

  • Barker, A.A.: J. Chem. Phys. 55, 1751 (1971)

    Article  ADS  Google Scholar 

  • Baturin, V.A.: Astrophys. Space Sci. (2010, this issue). doi:10.1007/s10509-009-0200-x

  • Carraro, C., Schafer, A., Koonin, S.E.: Astrophys. J. 331, 565 (1988)

    Article  ADS  Google Scholar 

  • Däppen, W.: Astrophys. Space Sci. (2010, this issue)

  • Debye, P., Hückel, E.: Z. Phys. 24, 305 (1923)

    Google Scholar 

  • Deutsch, C.: Phys. Lett. 60, 317 (1977)

    Article  Google Scholar 

  • Deutsch, C., Gombert, M.M., Minoo, H.: Phys. Lett. 66A, 381 (1978)

    ADS  Google Scholar 

  • Deutsch, C., Gombert, M.M., Minoo, H.: Phys. Lett. 72A, 481 (1979)

    Google Scholar 

  • Lavagno, A., Quarati, P.: Nucl. Phys. B, Proc. Suppl. 87, 209 (2000)

    Article  ADS  Google Scholar 

  • Mao, D., Mussack, K., Däppen, W.: In: D. Danesy (ed.) Proc. SOHO 14/GONG 2004 Workshop (ESA SP 559), 560 (2004)

  • Mao, D., Mussack, K., Däppen, W.: Astrophys. J. 701, 1204 (2009)

    Article  ADS  Google Scholar 

  • Mussack, K., Mao, D., Däppen, W.: In: K. Fletcher, M. Thompson (eds.) Proc. SOHO 18/GONG 2006/HelAs I Workshop (ESA SP 624, 2006), 20.1 (2006)

  • Mussack, K., Mao, D., Däppen, W.: In: R. Stancliffe et al. (eds.) Proc. Unsolved Problems in Stellar Physics, AIP Conference Proceedings, vol. 948, p. 207. Melville, NY (2007)

  • Opher, M., Opher, R.: Astrophys. J. 535, 473 (2000)

    Article  ADS  Google Scholar 

  • Salpeter, E.E.: Aust. J. Phys. 7, 373 (1954)

    MATH  ADS  Google Scholar 

  • Savchenko, V.I.: arXiv:astro-ph/9904289 (1999)

  • Shaviv, N.J., Shaviv, G.: Astrophys. J. 468, 433 (1996)

    Article  ADS  Google Scholar 

  • Straniero, O.: Astrophys. Space Sci. (2010, this issue)

  • Tsytovich, V.N.: Astron. Astrophys. 356, L57 (2000)

    ADS  Google Scholar 

  • Weiss, A., Flaskamp, M., Tsytovich, V.N.: Astron. Astrophys. 371, 1123 (2001)

    Article  ADS  Google Scholar 

  • Yusof, N.: Astrophys. Space Sci. (2010, this issue)

Download references

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Correspondence to Katie Mussack.

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Mussack, K., Däppen, W. Dynamic screening in solar and stellar nuclear reactions. Astrophys Space Sci 328, 153–156 (2010). https://doi.org/10.1007/s10509-009-0245-x

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