### Abstract

In this paper we aim at a formal understanding of the IBA hamiltonian. We start from the point of view that the s- and d-bosons are the L = 0 and L = 2 members of two correlated protons or neutrons. The IBA bosons are therefore considered to be particle-particle bosons. These can conveniently be calculated within the broken pair approximation which is explained in some detail in the text. We then map the correlated two-particle states thus obtained onto a boson space; this is performed using either Marumori's or Dyson's mapping. We also shortly discuss how through a renormalization procedure we can eliminate the less collective members of the bosons to finally arrive at the IBA hamiltonian.

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

Pages (from-to) | 37-50 |

Number of pages | 14 |

Journal | Nuclear Physics, Section A |

Volume | 384 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 1982 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics, Section A*,

*384*(1-2), 37-50. https://doi.org/10.1016/0375-9474(82)90303-7

}

*Nuclear Physics, Section A*, vol. 384, no. 1-2, pp. 37-50. https://doi.org/10.1016/0375-9474(82)90303-7

**Microscopic investigations of the structure of the bosons and the hamiltonian of the interacting boson model.** / Gambhir, Y. K.; Ring, P.; Schuck, P.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Microscopic investigations of the structure of the bosons and the hamiltonian of the interacting boson model

AU - Gambhir, Y. K.

AU - Ring, P.

AU - Schuck, P.

PY - 1982

Y1 - 1982

N2 - In this paper we aim at a formal understanding of the IBA hamiltonian. We start from the point of view that the s- and d-bosons are the L = 0 and L = 2 members of two correlated protons or neutrons. The IBA bosons are therefore considered to be particle-particle bosons. These can conveniently be calculated within the broken pair approximation which is explained in some detail in the text. We then map the correlated two-particle states thus obtained onto a boson space; this is performed using either Marumori's or Dyson's mapping. We also shortly discuss how through a renormalization procedure we can eliminate the less collective members of the bosons to finally arrive at the IBA hamiltonian.

AB - In this paper we aim at a formal understanding of the IBA hamiltonian. We start from the point of view that the s- and d-bosons are the L = 0 and L = 2 members of two correlated protons or neutrons. The IBA bosons are therefore considered to be particle-particle bosons. These can conveniently be calculated within the broken pair approximation which is explained in some detail in the text. We then map the correlated two-particle states thus obtained onto a boson space; this is performed using either Marumori's or Dyson's mapping. We also shortly discuss how through a renormalization procedure we can eliminate the less collective members of the bosons to finally arrive at the IBA hamiltonian.

UR - http://www.scopus.com/inward/record.url?scp=0347230538&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347230538&partnerID=8YFLogxK

U2 - 10.1016/0375-9474(82)90303-7

DO - 10.1016/0375-9474(82)90303-7

M3 - Article

VL - 384

SP - 37

EP - 50

JO - Nuclear Physics A

JF - Nuclear Physics A

SN - 0375-9474

IS - 1-2

ER -