### Abstract

Using Green function techniques, we determine higher-order corrections to the Tamm-Dancoff and Random Phase Approximation equations. In particular, we find that the second-order corrections to the Tamm-Dancoff equations consist of a t-matrix term and a core-polarization term. If we truncate our configuration space, we obtain an additional second-order correction from the particle-hole ladder term. We carry out numerical calculations of these second-order corrections for the negative-parity excited states of ^{4}He using the Tabakin separable potential.

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

Pages (from-to) | 129-145 |

Number of pages | 17 |

Journal | Nuclear Physics, Section A |

Volume | 109 |

Issue number | 1 |

State | Published - Feb 19 1968 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Higher-order corrections to collective particle-hole excitations using green function techniques.** / Barrett, Bruce R.

Research output: Contribution to journal › Article

*Nuclear Physics, Section A*, vol. 109, no. 1, pp. 129-145.

}

TY - JOUR

T1 - Higher-order corrections to collective particle-hole excitations using green function techniques

AU - Barrett, Bruce R

PY - 1968/2/19

Y1 - 1968/2/19

N2 - Using Green function techniques, we determine higher-order corrections to the Tamm-Dancoff and Random Phase Approximation equations. In particular, we find that the second-order corrections to the Tamm-Dancoff equations consist of a t-matrix term and a core-polarization term. If we truncate our configuration space, we obtain an additional second-order correction from the particle-hole ladder term. We carry out numerical calculations of these second-order corrections for the negative-parity excited states of 4He using the Tabakin separable potential.

AB - Using Green function techniques, we determine higher-order corrections to the Tamm-Dancoff and Random Phase Approximation equations. In particular, we find that the second-order corrections to the Tamm-Dancoff equations consist of a t-matrix term and a core-polarization term. If we truncate our configuration space, we obtain an additional second-order correction from the particle-hole ladder term. We carry out numerical calculations of these second-order corrections for the negative-parity excited states of 4He using the Tabakin separable potential.

UR - http://www.scopus.com/inward/record.url?scp=0042556416&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042556416&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0042556416

VL - 109

SP - 129

EP - 145

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1

ER -