### Abstract

Presents results of microscopic calculations of total muon capture rates ( Lambda _{mu c}) for even isotopes of Ti, Cr and Fe. The ground-state wavefunctions for these nuclei required in the calculation of Lambda _{mu c} are generated from the respective prolate and oblate Hartree-Fock (HF) solutions. The HF calculations in the 2p-1f space are performed with a ^{40}Ca inert core and using the Tabakin (1964) interaction matrix elements (ME) with appropriate core polarisation corrections. The calculated Lambda _{mu c} are found to be similar for all four interactions. The dependence of Lambda _{mu c} with respect to the variation of the oscillator size parameter and the average neutrino momentum is studied. The calculated Lambda _{mu c} for ^{48}Ti, ^{50,52,54,56}Cr and ^{56}Fe compare well with the corresponding experimental results and are consistently better compared with earlier theoretical results.

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

Article number | 009 |

Pages (from-to) | 333-346 |

Number of pages | 14 |

Journal | Journal of Physics G: Nuclear Physics |

Volume | 7 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1981 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

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

### Cite this

*Journal of Physics G: Nuclear Physics*,

*7*(3), 333-346. [009]. https://doi.org/10.1088/0305-4616/7/3/009

}

*Journal of Physics G: Nuclear Physics*, vol. 7, no. 3, 009, pp. 333-346. https://doi.org/10.1088/0305-4616/7/3/009

**Microscopic description of total muon capture rates for even isotopes of Ti, Cr and Fe.** / Gambhir, Y. K.; Venkatramaiah, P.; Raghavendra Rao, P.; Parthasarathy, R.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Microscopic description of total muon capture rates for even isotopes of Ti, Cr and Fe

AU - Gambhir, Y. K.

AU - Venkatramaiah, P.

AU - Raghavendra Rao, P.

AU - Parthasarathy, R.

PY - 1981

Y1 - 1981

N2 - Presents results of microscopic calculations of total muon capture rates ( Lambda mu c) for even isotopes of Ti, Cr and Fe. The ground-state wavefunctions for these nuclei required in the calculation of Lambda mu c are generated from the respective prolate and oblate Hartree-Fock (HF) solutions. The HF calculations in the 2p-1f space are performed with a 40Ca inert core and using the Tabakin (1964) interaction matrix elements (ME) with appropriate core polarisation corrections. The calculated Lambda mu c are found to be similar for all four interactions. The dependence of Lambda mu c with respect to the variation of the oscillator size parameter and the average neutrino momentum is studied. The calculated Lambda mu c for 48Ti, 50,52,54,56Cr and 56Fe compare well with the corresponding experimental results and are consistently better compared with earlier theoretical results.

AB - Presents results of microscopic calculations of total muon capture rates ( Lambda mu c) for even isotopes of Ti, Cr and Fe. The ground-state wavefunctions for these nuclei required in the calculation of Lambda mu c are generated from the respective prolate and oblate Hartree-Fock (HF) solutions. The HF calculations in the 2p-1f space are performed with a 40Ca inert core and using the Tabakin (1964) interaction matrix elements (ME) with appropriate core polarisation corrections. The calculated Lambda mu c are found to be similar for all four interactions. The dependence of Lambda mu c with respect to the variation of the oscillator size parameter and the average neutrino momentum is studied. The calculated Lambda mu c for 48Ti, 50,52,54,56Cr and 56Fe compare well with the corresponding experimental results and are consistently better compared with earlier theoretical results.

UR - http://www.scopus.com/inward/record.url?scp=36149043253&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36149043253&partnerID=8YFLogxK

U2 - 10.1088/0305-4616/7/3/009

DO - 10.1088/0305-4616/7/3/009

M3 - Article

VL - 7

SP - 333

EP - 346

JO - Journal of Physics G: Nuclear and Particle Physics

JF - Journal of Physics G: Nuclear and Particle Physics

SN - 0954-3899

IS - 3

M1 - 009

ER -