Interacting boson approximation model of the tungsten isotopes

Philip D. Duval, Bruce R Barrett

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

The interacting boson approximation model of Arima and Iachello and co-workers has been used to make a schematic study of the tungsten isotopes. For each isotope of tungsten we determine the values of the five parameters in the interacting boson approximation Hamiltonian which yield the best fit to the experimental energy spectrum. Based on these values, we can extrapolate to isotopes for which no experimental data exist and can make predictions for future experiments. Using the same values of these parameters for each isotope, we can also obtain the B(E2) transition rates, the (E0) values, the quadrupole moments of the first two excited 2+ states, the two-neutron separation energies, and the isomer and isotope shifts. Where data exist our results, in general, agree very well with experiment, although more experimental information is needed for the isomer and isotope shifts and the quadrupole moments of the excited 2+ states. The long range goal is to understand the origin of the model parameters in terms of a microscopic theory, such as the nuclear shell model. NUCLEAR STRUCTURE Interacting boson approximation model, investigation of the tungsten isotopes, energies, B(E2) transition rates, and other properties. Model parameters as a smooth function of neutron number.

Original languageEnglish (US)
Pages (from-to)492-503
Number of pages12
JournalPhysical Review C - Nuclear Physics
Volume23
Issue number1
DOIs
StatePublished - 1981

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tungsten isotopes
bosons
approximation
isotopes
isotope effect
isomers
quadrupoles
moments
neutrons
shift
circuit diagrams
tungsten
energy spectra
energy
predictions

ASJC Scopus subject areas

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

Cite this

Interacting boson approximation model of the tungsten isotopes. / Duval, Philip D.; Barrett, Bruce R.

In: Physical Review C - Nuclear Physics, Vol. 23, No. 1, 1981, p. 492-503.

Research output: Contribution to journalArticle

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AB - The interacting boson approximation model of Arima and Iachello and co-workers has been used to make a schematic study of the tungsten isotopes. For each isotope of tungsten we determine the values of the five parameters in the interacting boson approximation Hamiltonian which yield the best fit to the experimental energy spectrum. Based on these values, we can extrapolate to isotopes for which no experimental data exist and can make predictions for future experiments. Using the same values of these parameters for each isotope, we can also obtain the B(E2) transition rates, the (E0) values, the quadrupole moments of the first two excited 2+ states, the two-neutron separation energies, and the isomer and isotope shifts. Where data exist our results, in general, agree very well with experiment, although more experimental information is needed for the isomer and isotope shifts and the quadrupole moments of the excited 2+ states. The long range goal is to understand the origin of the model parameters in terms of a microscopic theory, such as the nuclear shell model. NUCLEAR STRUCTURE Interacting boson approximation model, investigation of the tungsten isotopes, energies, B(E2) transition rates, and other properties. Model parameters as a smooth function of neutron number.

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