### Abstract

We study sum rules for charge exchange operators of the Gamow-Teller and Fermi type and explore what can be learned from them about proton-neutron pairing in T=0 and T=1 channels. We consider both energy weighted (EWSR) and non-energy weighted (NEWSR) sum rules. We use a schematic Hamiltonian to stress the distinctive roles of T=1 and T=0 pair interactions and correlations in the sum rules. Numerical results for ^{44}Ti are presented for both schematic and realistic interactions.

Original language | English (US) |
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Pages (from-to) | 3-23 |

Number of pages | 21 |

Journal | Nuclear Physics A |

Volume | 727 |

Issue number | 1-2 |

DOIs | |

State | Published - Nov 3 2003 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- Gamow-Teller and Fermi strengths
- Proton-neutron pairing
- Sum rules

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## Cite this

Moya de Guerra, E., Raduta, A. A., Zamick, L., & Sarriguren, P. (2003). Charge exchange operators sum rules and proton-neutron T = 0 and T = 1 pairing interactions.

*Nuclear Physics A*,*727*(1-2), 3-23. https://doi.org/10.1016/j.nuclphysa.2003.07.009