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Description of identical superdeformed bands of the A ∼ 190 mass region

  • Regular Article - Theoretical Physics
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Abstract.

The two-parameter formula/model viz. nuclear softness (NS) formula, semiclassical particle rotor model (PRM) and exponential model with pairing attenuation are used for the reliable phenomenological analysis of identical superdeformed bands. These formulae/models are employed to study the identical superdeformed bands of the \( A\sim190\) mass region, { 191Hg(2) , 193Hg(2) }, { 191Hg(3) , 193Hg(3) }, { 193Tl (3) , 193Tl (5) }, { 193Tl (1) , 194Tl (3) }, { 193Tl (1) , 194Tl (4) }, { 193Pb(3) , 191Hg(2) }, { 193Pb(4) , 191Hg(3) }, { 194Pb(1) , 192Hg(1) }, { 194Pb(1) , 194Hg(1) } and middle-point identical bands { 193Tl (1) , 193Tl (2) }, { 193Tl (1) , 195Tl (1) } and { 193Tl (2) , 195Tl (2) }. Quantitatively, good results of \( \gamma\) -ray transitions energies and dynamic moment of inertia are obtained using the NS formula. The parameters, band-head moment of inertia ( \( \Im_{0}\) , alignment (i and effective pairing parameter ( \( \Delta_{0}\) are calculated using the least-squares fitting of the \( \gamma\) -ray transitions energies in the NS formula, semiclassical PRM and exponential model with pairing attenuation, respectively. The calculated parameters are found to depend sensitively on the proposed band-head spin.

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Correspondence to H. M. Mittal.

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Communicated by T. Duguet

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Dadwal, A., Mittal, H.M. Description of identical superdeformed bands of the A ∼ 190 mass region. Eur. Phys. J. A 53, 132 (2017). https://doi.org/10.1140/epja/i2017-12308-4

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  • DOI: https://doi.org/10.1140/epja/i2017-12308-4

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