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Level densities and γ-ray strength functions in Sn isotopes

H. K. Toft, A. C. Larsen, U. Agvaanluvsan, A. Bürger, M. Guttormsen, G. E. Mitchell, H. T. Nyhus, A. Schiller, S. Siem, N. U. H. Syed, and A. Voinov
Phys. Rev. C 81, 064311 – Published 16 June 2010

Abstract

The nuclear level densities of Sn118,119 and the γ-ray strength functions of Sn116,118,119 below the neutron separation energy are extracted with the Oslo method using the (He3,αγ) and (He3,He3γ) reactions. The level-density function of Sn119 displays steplike structures. The microcanonical entropies are deduced from the level densities, and the single neutron entropy of Sn119 is determined to be 1.7±0.2 kB. Results from a combinatorial model support the interpretation that some of the low-energy steps in the level density function are caused by neutron pair breaking. An enhancement in all the γ-ray strength functions of Sn116119, compared to standard models for radiative strength, is observed for the γ-ray energy region of 411 MeV. These small resonances all have a centroid energy of 8.0(1) MeV and an integrated strength corresponding to 1.7(9)% of the classical Thomas-Reiche-Kuhn sum rule. The Sn resonances may be due to electric dipole neutron skin oscillations or to an enhancement of the giant magnetic dipole resonance.

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  • Received 30 March 2010

DOI:https://doi.org/10.1103/PhysRevC.81.064311

©2010 American Physical Society

Authors & Affiliations

H. K. Toft1,*, A. C. Larsen1, U. Agvaanluvsan2,3, A. Bürger1, M. Guttormsen1, G. E. Mitchell4,5, H. T. Nyhus1, A. Schiller6, S. Siem1, N. U. H. Syed1, and A. Voinov6

  • 1Department of Physics, University of Oslo, N-0316 Oslo, Norway
  • 2Stanford University, Palo Alto, California 94305, USA
  • 3MonAme Scientific Research Center, Ulaanbaatar, Mongolia
  • 4Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA
  • 5Triangle Universities Nuclear Laboratory, Durham, North Carolina 27708, USA
  • 6Department of Physics, Ohio University, Athens, Ohio 45701, USA

  • *h.k.toft@fys.uio.no

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Vol. 81, Iss. 6 — June 2010

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Images

  • Figure 1
    Figure 1
    Normalized level densities of Sn119 (upper panel) and Sn118 (lower panel) as a function of excitation energy. Our experimental data are marked with filled squares. The dashed lines are the BSFG predictions that are used for interpolation, scaled to coincide with ρ(Sn) (open squares), which are calculated from neutron resonance data. The solid lines represent the discrete level densities obtained from counting the known levels. The arrows indicate the regions used to normalize the absolute values and the slope. The energy bins are 360 and 240 keV/ch for Sn118,119, respectively.Reuse & Permissions
  • Figure 2
    Figure 2
    Comparison of the BSFG model (dashed line) and the CT model (solid line) as interpolation means for the level density of Sn118. The arrows indicate the region of normalization. The parameters in the CT model (T=0.86 MeV and E0=1.7 MeV) have been found from a least χ2 fit to the data points in this region and from matching ρ(Sn), and the parametrization is not intended to be appropriate elsewhere.Reuse & Permissions
  • Figure 3
    Figure 3
    (Upper panel) Experimental pseudo entropies Sl of Sn119 (filled squares) and Sn118 (open squares) as a function of excitation energy. (Lower panel) The respective experimental entropy difference, ΔS=Sl119Sl118, as a function of excitation energy. An average value of ΔS¯(E)=1.7±0.2kB is obtained from a χ2 fit (dashed line) to the experimental data above ~3 MeV.Reuse & Permissions
  • Figure 4
    Figure 4
    The Nilsson level scheme, showing single-particle energies as functions of quadrupole deformation ε2, for Sn118, which has ε2=0.111. The Nilsson parameters are set to κ=0.070 and μ=0.48. The Fermi levels are illustrated as curled lines (λπ for protons and λν for neutrons).Reuse & Permissions
  • Figure 5
    Figure 5
    Level densities of Sn119 (upper panel) and Sn118 (lower panel) as a function of excitation energy. The solid lines are the theoretical predictions of the combinatorial BCS model. The squares are our experimental data.Reuse & Permissions
  • Figure 6
    Figure 6
    The average number of broken quasiparticle pairs Nqp (solid line) as a function of excitation enegy for Sn119 (upper panel) and Sn118 (lower panel), according to the combinatorial BCS model. Also shown is how this quantity breaks down into neutron pairs (dashed line) and proton pairs (dashed-dotted line).Reuse & Permissions
  • Figure 7
    Figure 7
    The impact of collective effects on the level density of Sn119 according to the combinatorial BCS model. The upper panel shows experimental level density (data points) compared with model calculations with collective effects (solid line) and without collective effects (dashed line). The lower panel shows the corresponding enhancement factor of the collective effects, Fcoll (linear scale).Reuse & Permissions
  • Figure 8
    Figure 8
    The parity asymmetry function α, according to the combinatorial BCS model, shown as a function of excitation energy for Sn119 (upper panel) and Sn118 (lower panel).Reuse & Permissions
  • Figure 9
    Figure 9
    Comparison of spin distributions in Sn118 at different excitation energies. The open squares are calculated from the combinatorial BCS model in Eq. (21), while the solid lines are the predictions of Gilbert and Cameron in Eq. (4). The spin distributions are normalized to 1.Reuse & Permissions
  • Figure 10
    Figure 10
    Normalized γ-ray strength functions as functions of γ-ray energy. The upper panels show Sn119 (left) and both present and previously published versions of Sn117 (right). The energy bins 120 and 240 keV/ch for Sn117,119, respectively. The lower panels show Sn118 (left) and Sn116 (right) with the energy bins of 360 and 120 keV/ch, respectively.Reuse & Permissions
  • Figure 11
    Figure 11
    The four normalized strength functions of Sn116119 shown together.Reuse & Permissions
  • Figure 12
    Figure 12
    Comparison of theoretical predictions including pygmy fits with experimental measurements for Sn116119. The total strengths (solid lines) are modeled as Gaussian pygmy additions to the GLO (E1+M1) baselines. The SLO (E1+M1) baselines are also shown, failing to reproduce the measurements for low Eγ. The arrows indicate the neutron separation energies Sn. (Upper left panel) Comparison of theoretical predictions of Sn119 with the Oslo measurements, 117Sn(γ,n) from Utsunomiya et al. [29], 119Sn(γ,x) from Fultz et al. [31], and 119Sn(γ,n) from Varlamov et al. [30]. (Upper right panel) Comparison of theoretical predictions of Sn117 with the Oslo measurements, 117Sn(γ,n) from Utsunomiya et al. [29], 117Sn(γ,x) from Fultz et al. [31], 117Sn(γ,x) from Varlamov et al. [32], and 117Sn(γ,x) from Leprêtre et al. [33]. (Lower left panel) Comparison of theoretical predictions of Sn118 with the Oslo measurements multiplied with 1.8 (filled squares) (the measurements with the original normalization are also included as open squares), 116Sn(γ,n) from Utsunomiya et al. [29], 118Sn(γ,x) from Fultz et al. [31], 118Sn(γ,x) from Varlamov et al. [32], and 118Sn(γ,x) from Leprêtre et al. [33]. (Lower right panel) Comparison of theoretical predictions of Sn116 with the Oslo measurements, 116Sn(γ,n) from Utsunomiya et al. [29], 116Sn(γ,x) from Fultz et al. [31], 116Sn(γ,x) from Varlamov et al. [32], and 116Sn(γ,x) from Leprêtre et al. [33].Reuse & Permissions
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