### Abstract

The calculated single particle spectrum for odd mass systems using relativistic mean field (RMF) theory are analyzed. Assuming these states for nuclei having one particle (hole) in addition to the conventional doubly magic core, of pure single particle (hole) character, the spin-orbit splittings are calculated. The effect of time reversal breaking which exists for these odd A systems seems to cancel while taking the difference between the single particle energies. Therefore one can solve the RMF equations with time reversal invariance and obtain a reasonable estimate of the spin-orbit splittings. The RMF reproduces the spin-orbit splittings quite well. The agreement between the theory and the experiment is impressive in view of the fact that the RMF incorporates leftover correlations only phenomenologically through the choice of effective Lagrangian parameters rather than incorporating them explicitly.

Original language | English |
---|---|

Pages (from-to) | 871-877 |

Number of pages | 7 |

Journal | Physical Review C |

Volume | 49 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1994 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*Physical Review C*,

*49*(2), 871-877. https://doi.org/10.1103/PhysRevC.49.871

}

*Physical Review C*, vol. 49, no. 2, pp. 871-877. https://doi.org/10.1103/PhysRevC.49.871

**Single particle spectrum and spin-orbit splittings in relativistic mean field theory.** / Warrier, Latha S.; Gambhir, Y. K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Single particle spectrum and spin-orbit splittings in relativistic mean field theory

AU - Warrier, Latha S.

AU - Gambhir, Y. K.

PY - 1994

Y1 - 1994

N2 - The calculated single particle spectrum for odd mass systems using relativistic mean field (RMF) theory are analyzed. Assuming these states for nuclei having one particle (hole) in addition to the conventional doubly magic core, of pure single particle (hole) character, the spin-orbit splittings are calculated. The effect of time reversal breaking which exists for these odd A systems seems to cancel while taking the difference between the single particle energies. Therefore one can solve the RMF equations with time reversal invariance and obtain a reasonable estimate of the spin-orbit splittings. The RMF reproduces the spin-orbit splittings quite well. The agreement between the theory and the experiment is impressive in view of the fact that the RMF incorporates leftover correlations only phenomenologically through the choice of effective Lagrangian parameters rather than incorporating them explicitly.

AB - The calculated single particle spectrum for odd mass systems using relativistic mean field (RMF) theory are analyzed. Assuming these states for nuclei having one particle (hole) in addition to the conventional doubly magic core, of pure single particle (hole) character, the spin-orbit splittings are calculated. The effect of time reversal breaking which exists for these odd A systems seems to cancel while taking the difference between the single particle energies. Therefore one can solve the RMF equations with time reversal invariance and obtain a reasonable estimate of the spin-orbit splittings. The RMF reproduces the spin-orbit splittings quite well. The agreement between the theory and the experiment is impressive in view of the fact that the RMF incorporates leftover correlations only phenomenologically through the choice of effective Lagrangian parameters rather than incorporating them explicitly.

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U2 - 10.1103/PhysRevC.49.871

DO - 10.1103/PhysRevC.49.871

M3 - Article

VL - 49

SP - 871

EP - 877

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 2

ER -