Low-lying levels in $^{59}\mathrm{Cr}$: Inadequacy of the $fp$ model space and onset of deformation

Low-lying levels in ${}^{59}{Cr}$ : Inadequacy of the $f p$ model space and onset of deformation

S. J. Freeman, R. V. F. Janssens, B. A. Brown, M. P. Carpenter, S. M. Fischer, N. J. Hammond, M. Honma, T. Lauritsen, C. J. Lister, T. L. Khoo, G. Mukherjee, D. Seweryniak, J. F. Smith, B. J. Varley, M. Whitehead, and S. Zhu

Phys. Rev. C 69, 064301 – Published 1 June 2004; Erratum Phys. Rev. C 70, 029901 (2004)

Abstract

The low-lying levels in ${}^{59}{Cr}$ have been studied with the ${}^{13}C ({}^{48}{Ca}, 2 p)$ reaction at a beam energy of $130 MeV$ . Data on ${}^{59}{Mn}$ , produced via the $p n$ -evaporation channel, have set limits on the spin of the ground state in ${}^{59}{Cr}$ and enabled some spin-parity assignments of excited states to be made. The structure obtained in this study is clearly inconsistent with results of shell-model calculations within the full $f p$ shell and requires inclusion of the $ν g_{9 ∕ 2}$ orbital. The sequence of states is understood within Nilsson model calculations assuming a moderate oblate ground-state deformation.

Received 3 March 2004

DOI:https://doi.org/10.1103/PhysRevC.69.064301

Erratum

Erratum: Low-lying levels in ${}^{59}{Cr}$ : Inadequacy of the $f p$ model space and onset of deformation [Phys. Rev. C 69, 064301 (2004)]

S. J. Freeman, R. V. F. Janssens, B. A. Brown, M. P. Carpenter, S. M. Fischer, N. J. Hammond, M. Honma, T. Lauritsen, C. J. Lister, T. L. Khoo, G. Mukherjee, D. Seweryniak, J. F. Smith, B. J. Varley, M. Whitehead, and S. Zhu

Phys. Rev. C 70, 029901 (2004)

Authors & Affiliations

S. J. Freeman^1,2,*, R. V. F. Janssens², B. A. Brown³, M. P. Carpenter², S. M. Fischer^2,4, N. J. Hammond², M. Honma⁵, T. Lauritsen², C. J. Lister², T. L. Khoo², G. Mukherjee², D. Seweryniak², J. F. Smith¹, B. J. Varley¹, M. Whitehead¹, and S. Zhu⁶

¹Schuster Laboratory, University of Manchester, Manchester M13 9PL, United Kingdom
²Argonne National Laboratory, Argonne, Illinois 60439, USA
³National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
⁴DePaul University, Chicago, Illinois 60604, USA
⁵Center for Mathematical Sciences, University of Aizu, Tsuruga, Ikki-machi, Aizu-Wakamatsu, Fukushima 965-8580, Japan
⁶University of Notre Dame, Notre Dame, Indiana 46556, USA

^*Electronic address: sjf@mags.ph.man.ac.uk

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Vol. 69, Iss. 6 — June 2004

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Figure 1
Two-dimensional spectrum of charge-to-mass ratio, $A ∕ q$ , of ions at the focal plane of the FMA against the $E T^{2}$ parameter (see the text for details). Physical slits were used to restrict the extent of the focal plane and, therefore, the range of $A ∕ q$ values apparent in this figure. Similarly, the range of the $E T^{2}$ parameter is limited by software gates placed on both $E$ and $T$ during the analysis. Various ion groups in this spectrum are identified by their $A ∕ q$ ratios.Reuse & Permissions
Figure 2
The intensities of $γ$ -ray transitions arising from recoiling $A = 59$ ions, in spectra gated on different slices of the ion energy loss in the ionization chamber. The intensity is plotted against the centroid of each energy-loss slice.Reuse & Permissions
Figure 3
Singles $γ$ -ray energy spectra for $A = 59$ events gated by different values of energy loss in the ion chamber. The energy-loss gate for spectrum (a) corresponds to the mean value for $Cr$ ions. The spectrum in (b) is for a lower energy loss (see the text for details). Transitions associated with ${}^{59}{Cr}$ persist in spectrum (b), while the intensity of transitions from ${}^{59}{Mn}$ is reduced when comparing the two spectra. Transitions are labeled by their energies in keV.Reuse & Permissions
Figure 4
$γ$ -ray coincidence spectra for $mass - 59$ events, with a condition on the energy-loss parameter to select $Cr$ ions (see the text for details). The spectra are additionally gated on $γ$ -ray energies of (a) $103 keV$ ; (b) $207 keV$ ; and (d) $518 keV$ . Spectrum (c) shows the sum of the $103$ - and $207 - keV$ gates.Reuse & Permissions
Figure 5
Energies of levels in ${}^{59}{Cr}$ : (a) The level scheme deduced from the current work, with the addition of the $193 - keV$ isomeric decay from Ref. 11. The levels are labeled by their spin-parity and excitation energy. The widths of the arrows represent the relative intensity of the $γ$ -ray transitions. The spin-parities for the states at $1084$ and $1316 keV$ are tentatively $11 ∕ 2^{-}$ and $13 ∕ 2^{+}$ , respectively; see the text for more details. (b) The level scheme from a shell-model calculation within the full $f p$ -shell basis using the GXPF1 interaction [1].Reuse & Permissions
Figure 6
Single-neutron energies for ${}^{59}{Cr}$ calculated in a Woods-Saxon potential with the universal parameter set from Ref. 26, as a function of deformation parameter $β_{2}$ . Spherical single-particle orbitals are labeled by the usual $n l j$ quantum numbers, and some significant gaps in the level structure are indicated by the appropriate neutron numbers. Asymptotic Nilsson quantum numbers are used to label individual states, where such a description is appropriate.Reuse & Permissions

Physical Review C

covering nuclear physics

Low-lying levels in ${}^{59}{Cr}$ : Inadequacy of the $f p$ model space and onset of deformation

S. J. Freeman, R. V. F. Janssens, B. A. Brown, M. P. Carpenter, S. M. Fischer, N. J. Hammond, M. Honma, T. Lauritsen, C. J. Lister, T. L. Khoo, G. Mukherjee, D. Seweryniak, J. F. Smith, B. J. Varley, M. Whitehead, and S. Zhu

Phys. Rev. C 69, 064301 – Published 1 June 2004; Erratum Phys. Rev. C 70, 029901 (2004)

Abstract

Erratum

Erratum: Low-lying levels in ${}^{59}{Cr}$ : Inadequacy of the $f p$ model space and onset of deformation [Phys. Rev. C 69, 064301 (2004)]

S. J. Freeman, R. V. F. Janssens, B. A. Brown, M. P. Carpenter, S. M. Fischer, N. J. Hammond, M. Honma, T. Lauritsen, C. J. Lister, T. L. Khoo, G. Mukherjee, D. Seweryniak, J. F. Smith, B. J. Varley, M. Whitehead, and S. Zhu

Phys. Rev. C 70, 029901 (2004)

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Physical Review C

covering nuclear physics

Low-lying levels in Cr59: Inadequacy of the fp model space and onset of deformation

S. J. Freeman, R. V. F. Janssens, B. A. Brown, M. P. Carpenter, S. M. Fischer, N. J. Hammond, M. Honma, T. Lauritsen, C. J. Lister, T. L. Khoo, G. Mukherjee, D. Seweryniak, J. F. Smith, B. J. Varley, M. Whitehead, and S. Zhu

Phys. Rev. C 69, 064301 – Published 1 June 2004; Erratum Phys. Rev. C 70, 029901 (2004)

Abstract

Erratum

Erratum: Low-lying levels in Cr59: Inadequacy of the fp model space and onset of deformation [Phys. Rev. C 69, 064301 (2004)]

S. J. Freeman, R. V. F. Janssens, B. A. Brown, M. P. Carpenter, S. M. Fischer, N. J. Hammond, M. Honma, T. Lauritsen, C. J. Lister, T. L. Khoo, G. Mukherjee, D. Seweryniak, J. F. Smith, B. J. Varley, M. Whitehead, and S. Zhu

Phys. Rev. C 70, 029901 (2004)

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Low-lying levels in ${}^{59}{Cr}$ : Inadequacy of the $f p$ model space and onset of deformation

Erratum: Low-lying levels in ${}^{59}{Cr}$ : Inadequacy of the $f p$ model space and onset of deformation [Phys. Rev. C 69, 064301 (2004)]