### Abstract

The antiproton annihilation experiments help to extract so-called peripheral factors representing the ratio of neutron to proton densities at the annihilation site that is about 2.5 fm away from the half-density radius of the nucleus. The relativistic mean field (RMF) approach is used to calculate the peripheral factors. The RMF equations (with frozen gap) and relativistic Hartree-Bogoliubov (RHB) equations (with finite range Gogny interaction-D1S for pairing) are solved employing the basis expansion method. The RHB equations are also solved in the coordinate space using a large box (30 fm); with an effective zero range density dependent interaction (consistent with Gogny D1S interaction) for pairing. The results are analyzed to ascertain quantitatively the effect of using these different techniques for solving the RMF/RHB equations. The calculated peripheral factors obtained by solving RHB equations in the coordinate space are relatively closer to the corresponding experimental values.

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

Article number | 034306 |

Pages (from-to) | 343061-343068 |

Number of pages | 8 |

Journal | Physical Review C - Nuclear Physics |

Volume | 66 |

Issue number | 3 |

DOIs | |

Publication status | Published - 01-09-2002 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*66*(3), 343061-343068. [034306]. https://doi.org/10.1103/PhysRevC.66.034306

}

*Physical Review C - Nuclear Physics*, vol. 66, no. 3, 034306, pp. 343061-343068. https://doi.org/10.1103/PhysRevC.66.034306

**Relativistic mean field for nuclear periphery.** / Gambhir, Y. K.; Bhagwat, A. A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Relativistic mean field for nuclear periphery

AU - Gambhir, Y. K.

AU - Bhagwat, A. A.

PY - 2002/9/1

Y1 - 2002/9/1

N2 - The antiproton annihilation experiments help to extract so-called peripheral factors representing the ratio of neutron to proton densities at the annihilation site that is about 2.5 fm away from the half-density radius of the nucleus. The relativistic mean field (RMF) approach is used to calculate the peripheral factors. The RMF equations (with frozen gap) and relativistic Hartree-Bogoliubov (RHB) equations (with finite range Gogny interaction-D1S for pairing) are solved employing the basis expansion method. The RHB equations are also solved in the coordinate space using a large box (30 fm); with an effective zero range density dependent interaction (consistent with Gogny D1S interaction) for pairing. The results are analyzed to ascertain quantitatively the effect of using these different techniques for solving the RMF/RHB equations. The calculated peripheral factors obtained by solving RHB equations in the coordinate space are relatively closer to the corresponding experimental values.

AB - The antiproton annihilation experiments help to extract so-called peripheral factors representing the ratio of neutron to proton densities at the annihilation site that is about 2.5 fm away from the half-density radius of the nucleus. The relativistic mean field (RMF) approach is used to calculate the peripheral factors. The RMF equations (with frozen gap) and relativistic Hartree-Bogoliubov (RHB) equations (with finite range Gogny interaction-D1S for pairing) are solved employing the basis expansion method. The RHB equations are also solved in the coordinate space using a large box (30 fm); with an effective zero range density dependent interaction (consistent with Gogny D1S interaction) for pairing. The results are analyzed to ascertain quantitatively the effect of using these different techniques for solving the RMF/RHB equations. The calculated peripheral factors obtained by solving RHB equations in the coordinate space are relatively closer to the corresponding experimental values.

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U2 - 10.1103/PhysRevC.66.034306

DO - 10.1103/PhysRevC.66.034306

M3 - Article

VL - 66

SP - 343061

EP - 343068

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 3

M1 - 034306

ER -