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

Y. K. Gambhir, P. Venkatramaiah, P. Raghavendra Rao, R. Parthasarathy

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 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.

Original languageEnglish
Article number009
Pages (from-to)333-346
Number of pages14
JournalJournal of Physics G: Nuclear Physics
Volume7
Issue number3
DOIs
Publication statusPublished - 1981

Fingerprint

muons
isotopes
neutrinos
oscillators
interactions
momentum
nuclei
ground state
polarization
matrices

All Science Journal Classification (ASJC) codes

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

Cite this

Gambhir, Y. K. ; Venkatramaiah, P. ; Raghavendra Rao, P. ; Parthasarathy, R. / Microscopic description of total muon capture rates for even isotopes of Ti, Cr and Fe. In: Journal of Physics G: Nuclear Physics. 1981 ; Vol. 7, No. 3. pp. 333-346.
@article{2af15f61261f45818666d71ff6a374b6,
title = "Microscopic description of total muon capture rates for even isotopes of Ti, Cr and Fe",
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 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.",
author = "Gambhir, {Y. K.} and P. Venkatramaiah and {Raghavendra Rao}, P. and R. Parthasarathy",
year = "1981",
doi = "10.1088/0305-4616/7/3/009",
language = "English",
volume = "7",
pages = "333--346",
journal = "Journal of Physics G: Nuclear and Particle Physics",
issn = "0954-3899",
publisher = "IOP Publishing Ltd.",
number = "3",

}

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.

In: Journal of Physics G: Nuclear Physics, Vol. 7, No. 3, 009, 1981, p. 333-346.

Research output: Contribution to journalArticle

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 -