### Abstract

A diffuse nuclear charge distribution, with approximately the trapezoidal Hofstadter shape, is used to calculate the effect of the distributed nuclear charge on the magnetic-dipole hyperfine-structure (hfs) interaction between the nucleus and the atomic electron. For a surface or a uniform charge distribution model this effect is known as the Breit-Rosenthal-Crawford-Schawlow correction to the point-charge interaction. The hfs interactions calculated with the diffuse and with the uniform charge distributions differ by over 4% for medium to heavy nuclei. The results, combined with our previously calculated values for the Bohr-Weisskopf correction (the effect on the hfs due to the nonpunctual distribution of nuclear magnetization), allow a more realistic determination of the total hfs anomalies, caused by the extended nuclear electric and magnetic structures, and therefore also of |ψ(0)|2, the probability of the electron wave function at the origin.

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

Pages (from-to) | 1992-2000 |

Number of pages | 9 |

Journal | Physical Review A |

Volume | 5 |

Issue number | 5 |

DOIs | |

State | Published - 1972 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*5*(5), 1992-2000. https://doi.org/10.1103/PhysRevA.5.1992

**Effect of a diffuse nuclear charge distribution on the hyperfine-structure interaction.** / Rosenberg, H. J.; Stroke, H. H.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 5, no. 5, pp. 1992-2000. https://doi.org/10.1103/PhysRevA.5.1992

}

TY - JOUR

T1 - Effect of a diffuse nuclear charge distribution on the hyperfine-structure interaction

AU - Rosenberg, H. J.

AU - Stroke, H. H.

PY - 1972

Y1 - 1972

N2 - A diffuse nuclear charge distribution, with approximately the trapezoidal Hofstadter shape, is used to calculate the effect of the distributed nuclear charge on the magnetic-dipole hyperfine-structure (hfs) interaction between the nucleus and the atomic electron. For a surface or a uniform charge distribution model this effect is known as the Breit-Rosenthal-Crawford-Schawlow correction to the point-charge interaction. The hfs interactions calculated with the diffuse and with the uniform charge distributions differ by over 4% for medium to heavy nuclei. The results, combined with our previously calculated values for the Bohr-Weisskopf correction (the effect on the hfs due to the nonpunctual distribution of nuclear magnetization), allow a more realistic determination of the total hfs anomalies, caused by the extended nuclear electric and magnetic structures, and therefore also of |ψ(0)|2, the probability of the electron wave function at the origin.

AB - A diffuse nuclear charge distribution, with approximately the trapezoidal Hofstadter shape, is used to calculate the effect of the distributed nuclear charge on the magnetic-dipole hyperfine-structure (hfs) interaction between the nucleus and the atomic electron. For a surface or a uniform charge distribution model this effect is known as the Breit-Rosenthal-Crawford-Schawlow correction to the point-charge interaction. The hfs interactions calculated with the diffuse and with the uniform charge distributions differ by over 4% for medium to heavy nuclei. The results, combined with our previously calculated values for the Bohr-Weisskopf correction (the effect on the hfs due to the nonpunctual distribution of nuclear magnetization), allow a more realistic determination of the total hfs anomalies, caused by the extended nuclear electric and magnetic structures, and therefore also of |ψ(0)|2, the probability of the electron wave function at the origin.

UR - http://www.scopus.com/inward/record.url?scp=0000232169&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000232169&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.5.1992

DO - 10.1103/PhysRevA.5.1992

M3 - Article

AN - SCOPUS:0000232169

VL - 5

SP - 1992

EP - 2000

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 5

ER -