Angular-momentum-projected cranked hfb approach to the study of nuclear rotations

Wüst, E.; Ansari, A.; Mosel, U.

doi:10.1016/0375-9474(85)90474-9

Cited by 19 publications

(14 citation statements)

References 23 publications

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“…The excitation energy E* when M ϭ0 is the excitation energy for the nonrotating nucleus and is purely due to the temperature of the nucleus. Comparing the present set of curves with those of Tabor et al ͓19͔, we conclude that for cold 40 Ca there is no yrast line limitation of fusion formed from the fusion reaction 16 Oϩ 24 Mg. But for a hot nucleus, there is a yrast line limitation of fusion at a given entropy since the phase space available for the hot nucleus is determined by the entropy.…”

Section: ͑7͒supporting

confidence: 75%

Structural properties of hot rotating40Ca

Arunachalam

Periyanayaki²,

Ilangovan³

1997

Phys. Rev. C

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The yrast and yrare lines are obtained for 40 Ca using a statistical method by assuming the nucleons to move in a triaxially deformed Nilsson harmonic oscillator potential. The backbending and yrast traps are observed in the case of 40 Ca at certain spins. A shift in the first yrast minima towards higher angular momentum states with an increase in entropy is observed. A second backbending is found to occur at spin M ϭ17ប for all entropies. The excitation energy, the nuclear level density, the single-particle level density parameter, and the spin cutoff parameter are determined as functions of temperature and angular momentum by minimizing the free energy. The Strutinsky method is used to study the variation of the shell correction with angular momentum for equilibrium shapes. The Fermi energies obtained as a function of angular momentum are used for calculating this shell correction. The nucleus is found to be spherical up to M ϭ6ប and becomes oblate with a further increase in angular momentum. The shell correction is found to increase with the deformation having a minimum value for the spherical shape.

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Section: ͑7͒supporting

confidence: 75%

Structural properties of hot rotating40Ca

Arunachalam

Periyanayaki²,

Ilangovan³

1997

Phys. Rev. C

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“…(12), and the final spectrum, E J σ , are obtained by solving the general HWG equations: (15) To shed light on the impact of including time-reversal symmetry breaking states in the spectrum, the nucleus 32 Mg has been computed with the GCM method using four sets of intrinsic wave functions. All of them are computed with nine major oscillator shells (N o.s.…”

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confidence: 99%

“…The addition of time-reversal symmetry breaking intrinsic states (< J x > = 0) obtained by the cranking procedure will thus increase the variational space for excited states and will provide a better description of the spectrum. Pioneering angular momentum projection of cranking states have been reported with schematic pairing plus quadrupole interactions [14][15][16] and with Skyrme energy density functionals [17,18]. However, neither configuration -shape-mixing nor, in the case of Skyme interactions, pairing correlations, were taken into account.…”

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confidence: 99%

Symmetry conserving configuration mixing method with cranked states

2015

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We present the first calculations of a symmetry conserving configuration mixing method (SCCM) using time-reversal symmetry breaking Hartree-Fock-Bogoliubov (HFB) states with the Gogny D1S interaction. The method includes particle number and tridimensional angular momentum symmetry restorations as well as configuration mixing within the generator coordinate method (GCM) framework. The nucleus 32Mg is chosen to show the performance and reliability of the calculations. Additionally, 01+, 21+ and 41+ states are computed for the magnesium isotopic chain, where a noticeable compression of the spectrum is obtained by including cranked states, leading to a very good agreement with the known experimental dataThis work was supported by the Ministerio de Economía y Competitividad under contracts FPA2011-29854-C04-04, BES-2012-059405 and Programa Ramón y Cajal 2012 number 1142

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“…(Angular momentum and numbers of nucleons are not conserved in deformed HFB states.) In many cases, the number constraints may be good enough to produce the reasonable cranked HFB states of stable nuclei [13,14]. We consider that, in a study of high-spin states, restoration of the rotational symmetry is more important than the gauge invariance, as the first attempt to circumvent the difficulties.…”

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confidence: 99%

Wobbling motion in the multi-bands crossing region

Ansari

Horibata

et al. 2000

Physics Letters B

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The backbending in the A=180 mass region is expected to be caused by multi-bands crossing between low-K (g- and s-bands) and high-K bands. % We analyze a mechanism of coupling of these bands in terms of a dynamical treatment for nuclear rotations, i.e., the wobbling motion. The wobbling states are produced through the generator coordinate method after angular momentum projection, in which the intrinsic states are constructed through the 2d-cranked HFB calculations.Comment: 9 pages, 3 PS figures: to appear in Phys.Lett.

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Angular-momentum-projected cranked hfb approach to the study of nuclear rotations

Cited by 19 publications

References 23 publications

Structural properties of hot rotating40Ca

Structural properties of hot rotating40Ca

Symmetry conserving configuration mixing method with cranked states

Wobbling motion in the multi-bands crossing region

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