### Abstract

A generalized formula of nuclear anapole moment is derived using the current relativistic nuclear approach. The Dirac spin magnetization and the anomalous spin magnetization contributions to anapole moment are shown to be proportional to the second moment of respective magnetizations. The valence nucleon effective gl(ga) factors in a nucleus are obtained from the different phenomenological generalizations of relativistic nuclear magnetic moment. The unitary transformation approach is used to derive the parity nonconserving (PNC) perturbed wave functions. In the case of gl parametrization, the anomalous spin magnetization and pion contributions to anapole moment are nearly two and three times the Dirac magnetization contribution respectively; while for ga parametrization, all the three contributions are of the same order of magnitude. Using these calculated values of anapole moment and available atomic structure data from published literature, the Cs133 PNC hyperfine amplitudes are calculated. The results are closer to the experimental data, particularly when the measured value of Im E1pv/ is used. The optical rotation angles induced by nuclear spin dependent PNC interaction are also calculated.

Original language | English |
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Pages (from-to) | 1047-1060 |

Number of pages | 14 |

Journal | Physical Review C |

Volume | 52 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1995 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C*,

*52*(2), 1047-1060. https://doi.org/10.1103/PhysRevC.52.1047

}

*Physical Review C*, vol. 52, no. 2, pp. 1047-1060. https://doi.org/10.1103/PhysRevC.52.1047

**Relativistic mean-field approach to anapole moment : Atomic parity-violating hyperfine transitions.** / Kulkarni, S.; Warke, C. S.; Gambhir, Y. K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Relativistic mean-field approach to anapole moment

T2 - Atomic parity-violating hyperfine transitions

AU - Kulkarni, S.

AU - Warke, C. S.

AU - Gambhir, Y. K.

PY - 1995

Y1 - 1995

N2 - A generalized formula of nuclear anapole moment is derived using the current relativistic nuclear approach. The Dirac spin magnetization and the anomalous spin magnetization contributions to anapole moment are shown to be proportional to the second moment of respective magnetizations. The valence nucleon effective gl(ga) factors in a nucleus are obtained from the different phenomenological generalizations of relativistic nuclear magnetic moment. The unitary transformation approach is used to derive the parity nonconserving (PNC) perturbed wave functions. In the case of gl parametrization, the anomalous spin magnetization and pion contributions to anapole moment are nearly two and three times the Dirac magnetization contribution respectively; while for ga parametrization, all the three contributions are of the same order of magnitude. Using these calculated values of anapole moment and available atomic structure data from published literature, the Cs133 PNC hyperfine amplitudes are calculated. The results are closer to the experimental data, particularly when the measured value of Im E1pv/ is used. The optical rotation angles induced by nuclear spin dependent PNC interaction are also calculated.

AB - A generalized formula of nuclear anapole moment is derived using the current relativistic nuclear approach. The Dirac spin magnetization and the anomalous spin magnetization contributions to anapole moment are shown to be proportional to the second moment of respective magnetizations. The valence nucleon effective gl(ga) factors in a nucleus are obtained from the different phenomenological generalizations of relativistic nuclear magnetic moment. The unitary transformation approach is used to derive the parity nonconserving (PNC) perturbed wave functions. In the case of gl parametrization, the anomalous spin magnetization and pion contributions to anapole moment are nearly two and three times the Dirac magnetization contribution respectively; while for ga parametrization, all the three contributions are of the same order of magnitude. Using these calculated values of anapole moment and available atomic structure data from published literature, the Cs133 PNC hyperfine amplitudes are calculated. The results are closer to the experimental data, particularly when the measured value of Im E1pv/ is used. The optical rotation angles induced by nuclear spin dependent PNC interaction are also calculated.

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U2 - 10.1103/PhysRevC.52.1047

DO - 10.1103/PhysRevC.52.1047

M3 - Article

VL - 52

SP - 1047

EP - 1060

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 2

ER -