### Abstract

We evaluate the effect of electrostatic screening by ions and electrons on low-Z thermonuclear reactions in the Sun. We use a mean field formalism and calculate the electron density of the screening cloud using the appropriate density matrix equation of quantum statistical mechanics. Because of well-understood physical effects that are included for the first time in our treatment, the calculated enhancement of reaction rates does not agree with the frequently used interpolation formulae. Our result does agree, within small uncertainties, with Salpeter's weak screening formula. If weak screening is used instead of the commonly employed screening prescription of Graboske et al., the predicted ^{8}B neutrino flux is increased by 7% and the predicted chlorine rate is increased by 0.4 SNU.

Original language | English (US) |
---|---|

Pages (from-to) | 996-1001 |

Number of pages | 6 |

Journal | Astrophysical Journal |

Volume | 504 |

Issue number | 2 PART I |

DOIs | |

State | Published - 1998 |

### Fingerprint

### Keywords

- Nuclear reactions, nucleosynthesis, abundances
- Sun: abundances
- Sun: interior

### ASJC Scopus subject areas

- Space and Planetary Science

### Cite this

*Astrophysical Journal*,

*504*(2 PART I), 996-1001. https://doi.org/10.1086/306116

**Screening in thermonuclear reaction rates in the sun.** / Gruzinov, Andrei V.; Bahcall, John N.

Research output: Contribution to journal › Article

*Astrophysical Journal*, vol. 504, no. 2 PART I, pp. 996-1001. https://doi.org/10.1086/306116

}

TY - JOUR

T1 - Screening in thermonuclear reaction rates in the sun

AU - Gruzinov, Andrei V.

AU - Bahcall, John N.

PY - 1998

Y1 - 1998

N2 - We evaluate the effect of electrostatic screening by ions and electrons on low-Z thermonuclear reactions in the Sun. We use a mean field formalism and calculate the electron density of the screening cloud using the appropriate density matrix equation of quantum statistical mechanics. Because of well-understood physical effects that are included for the first time in our treatment, the calculated enhancement of reaction rates does not agree with the frequently used interpolation formulae. Our result does agree, within small uncertainties, with Salpeter's weak screening formula. If weak screening is used instead of the commonly employed screening prescription of Graboske et al., the predicted 8B neutrino flux is increased by 7% and the predicted chlorine rate is increased by 0.4 SNU.

AB - We evaluate the effect of electrostatic screening by ions and electrons on low-Z thermonuclear reactions in the Sun. We use a mean field formalism and calculate the electron density of the screening cloud using the appropriate density matrix equation of quantum statistical mechanics. Because of well-understood physical effects that are included for the first time in our treatment, the calculated enhancement of reaction rates does not agree with the frequently used interpolation formulae. Our result does agree, within small uncertainties, with Salpeter's weak screening formula. If weak screening is used instead of the commonly employed screening prescription of Graboske et al., the predicted 8B neutrino flux is increased by 7% and the predicted chlorine rate is increased by 0.4 SNU.

KW - Nuclear reactions, nucleosynthesis, abundances

KW - Sun: abundances

KW - Sun: interior

UR - http://www.scopus.com/inward/record.url?scp=5844258071&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5844258071&partnerID=8YFLogxK

U2 - 10.1086/306116

DO - 10.1086/306116

M3 - Article

VL - 504

SP - 996

EP - 1001

JO - Astrophysical Journal

JF - Astrophysical Journal

SN - 0004-637X

IS - 2 PART I

ER -