Relativistic mean-field approach to anapole moment

Atomic parity-violating hyperfine transitions

S. Kulkarni, C. S. Warke, Y. K. Gambhir

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)1047-1060
Number of pages14
JournalPhysical Review C
Volume52
Issue number2
DOIs
Publication statusPublished - 1995

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parity
moments
magnetization
atomic structure
nuclear spin
pions
magnetic moments
wave functions
valence
nuclei
interactions

All Science Journal Classification (ASJC) codes

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

Cite this

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

In: Physical Review C, Vol. 52, No. 2, 1995, p. 1047-1060.

Research output: Contribution to journalArticle

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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