### Abstract

The ground state nucleon (neutron and proton) distributions for A = 20 isobars (Z = 6-12) are investigated. For this purpose, the relativistic mean field equations are solved in the coordinate space and also by using the conventional basis expansion method. The pairing is treated in the simple constant gap approximation and also self consistently through the Bogoliubov transformation employing the realistic Gogny D1S interaction as well as the zero range density dependent effective interaction. The comparative study of the results thus obtained indicates the level and the extent of differences in the physical observables like binding energies, sizes, densities, etc. of these nuclei, arising due to the use of these different variants of solving the RMF/RHB equations. Though the results are qualitatively similar, the deviations do appear at a finer level, especially for large T_{z} (^{20}O and ^{20}N). The calculations also reveal mirror symmetry about T _{z} = 0 for all physical observables, which is in accordance with the experiment. The calculated nucleon densities are compared with those obtained by using a semi-phenomenological model that incorporates correctly the asymptotic behavior. The reaction cross-sections with these A = 20 isobars as projectiles incident on a ^{12}C target at 950 A MeV incident energy, calculated within the Glauber model using the RMF/RHB and model densities agree well with the experiment.

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

Pages (from-to) | 725-745 |

Number of pages | 21 |

Journal | International Journal of Modern Physics E |

Volume | 12 |

Issue number | 5 |

DOIs | |

Publication status | Published - 10-2003 |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy(all)

### Cite this

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*International Journal of Modern Physics E*, vol. 12, no. 5, pp. 725-745. https://doi.org/10.1142/S021830130300151X

**Isospin dependence of ground state properties of A = 20 isobars.** / Bhagwat, A.; Gambhir, Y. K.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Isospin dependence of ground state properties of A = 20 isobars

AU - Bhagwat, A.

AU - Gambhir, Y. K.

PY - 2003/10

Y1 - 2003/10

N2 - The ground state nucleon (neutron and proton) distributions for A = 20 isobars (Z = 6-12) are investigated. For this purpose, the relativistic mean field equations are solved in the coordinate space and also by using the conventional basis expansion method. The pairing is treated in the simple constant gap approximation and also self consistently through the Bogoliubov transformation employing the realistic Gogny D1S interaction as well as the zero range density dependent effective interaction. The comparative study of the results thus obtained indicates the level and the extent of differences in the physical observables like binding energies, sizes, densities, etc. of these nuclei, arising due to the use of these different variants of solving the RMF/RHB equations. Though the results are qualitatively similar, the deviations do appear at a finer level, especially for large Tz (20O and 20N). The calculations also reveal mirror symmetry about T z = 0 for all physical observables, which is in accordance with the experiment. The calculated nucleon densities are compared with those obtained by using a semi-phenomenological model that incorporates correctly the asymptotic behavior. The reaction cross-sections with these A = 20 isobars as projectiles incident on a 12C target at 950 A MeV incident energy, calculated within the Glauber model using the RMF/RHB and model densities agree well with the experiment.

AB - The ground state nucleon (neutron and proton) distributions for A = 20 isobars (Z = 6-12) are investigated. For this purpose, the relativistic mean field equations are solved in the coordinate space and also by using the conventional basis expansion method. The pairing is treated in the simple constant gap approximation and also self consistently through the Bogoliubov transformation employing the realistic Gogny D1S interaction as well as the zero range density dependent effective interaction. The comparative study of the results thus obtained indicates the level and the extent of differences in the physical observables like binding energies, sizes, densities, etc. of these nuclei, arising due to the use of these different variants of solving the RMF/RHB equations. Though the results are qualitatively similar, the deviations do appear at a finer level, especially for large Tz (20O and 20N). The calculations also reveal mirror symmetry about T z = 0 for all physical observables, which is in accordance with the experiment. The calculated nucleon densities are compared with those obtained by using a semi-phenomenological model that incorporates correctly the asymptotic behavior. The reaction cross-sections with these A = 20 isobars as projectiles incident on a 12C target at 950 A MeV incident energy, calculated within the Glauber model using the RMF/RHB and model densities agree well with the experiment.

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U2 - 10.1142/S021830130300151X

DO - 10.1142/S021830130300151X

M3 - Article

VL - 12

SP - 725

EP - 745

JO - International Journal of Modern Physics E

JF - International Journal of Modern Physics E

SN - 0218-3013

IS - 5

ER -