### Abstract

We present a simple scheme for taking into account the resonant continuum coupling in the relativistic mean field-BCS calculations. In this scheme, applied before in nonrelativistic calculations, the effect of the resonant continuum on pairing correlations is introduced through the scattering wave functions located in the region of the resonant states. These states are found by solving the relativistic mean field equations with scattering-type boundary conditions for the continuum spectrum. The calculations are done for the neutron-rich Zr isotopes. It is shown that the sudden increase of the neutron radii close to the neutron drip line, the so-called giant halo, is determined by a few resonant states close to the continuum threshold.

Original language | English |
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Article number | 054323 |

Pages (from-to) | 543231-543236 |

Number of pages | 6 |

Journal | Physical Review C - Nuclear Physics |

Volume | 68 |

Issue number | 5 |

Publication status | Published - Jan 1 2003 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*68*(5), 543231-543236. [054323].

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*Physical Review C - Nuclear Physics*, vol. 68, no. 5, 054323, pp. 543231-543236.

**Pairing correlations and resonant states in the relativistic mean field theory.** / Sandulescu, N.; Geng, L. S.; Toki, H.; Hillhouse, G. C.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Pairing correlations and resonant states in the relativistic mean field theory

AU - Sandulescu, N.

AU - Geng, L. S.

AU - Toki, H.

AU - Hillhouse, G. C.

PY - 2003/1/1

Y1 - 2003/1/1

N2 - We present a simple scheme for taking into account the resonant continuum coupling in the relativistic mean field-BCS calculations. In this scheme, applied before in nonrelativistic calculations, the effect of the resonant continuum on pairing correlations is introduced through the scattering wave functions located in the region of the resonant states. These states are found by solving the relativistic mean field equations with scattering-type boundary conditions for the continuum spectrum. The calculations are done for the neutron-rich Zr isotopes. It is shown that the sudden increase of the neutron radii close to the neutron drip line, the so-called giant halo, is determined by a few resonant states close to the continuum threshold.

AB - We present a simple scheme for taking into account the resonant continuum coupling in the relativistic mean field-BCS calculations. In this scheme, applied before in nonrelativistic calculations, the effect of the resonant continuum on pairing correlations is introduced through the scattering wave functions located in the region of the resonant states. These states are found by solving the relativistic mean field equations with scattering-type boundary conditions for the continuum spectrum. The calculations are done for the neutron-rich Zr isotopes. It is shown that the sudden increase of the neutron radii close to the neutron drip line, the so-called giant halo, is determined by a few resonant states close to the continuum threshold.

UR - http://www.scopus.com/inward/record.url?scp=0742323719&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0742323719&partnerID=8YFLogxK

M3 - Article

VL - 68

SP - 543231

EP - 543236

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 5

M1 - 054323

ER -