Real stabilization method for single particle resonances

We develop the real stabilization method within the framework of the relativistic mean field (RMF) model. With the self-consistent nuclear potentials from the RMF model, the real stabilization method is used to study single-particle resonant states in spherical nuclei. As examples, the energies, widths and wave functions of low-lying neutron resonant states in 120 Sn are obtained. These results are compared with those from the scattering phase shift method and the analytic continuation in the coupling constant approach and satisfactory agreements are found.

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“…However, Eq. ( 14) converges very slowly with the box size due to the influence of the non zero centrifugal potential at large R max [41].…”

Section: B the Real Stabilization Methods In Coordinate Spacementioning

confidence: 99%

Real stabilization method for nuclear single-particle resonances

et al. 2008

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“…Recent experimental studies of nuclei in the nobelium region provided rich spectroscopic data [1,2], which, in principle, can be used as a benchmark information for extrapolations into the region of superheavy nuclei. Numerous theoretical studies are aimed at modelling of these spectroscopic data [3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] so as to make such extrapolations as reliable as possible.…”

Section: Introductionmentioning

confidence: 99%

Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals

et al. 2015

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International audienceWe calculate properties of the ground and excited states of nuclei in the nobelium region for proton and neutron numbers of 92≤Z≤10492≤Z≤104 and 144≤N≤156144≤N≤156, respectively. We use three different energy-density-functional (EDF) approaches, based on covariant, Skyrme, and Gogny functionals, each with two different parameter sets. A comparative analysis of the results obtained for quasiparticle spectra, odd–even and two-particle mass staggering, and moments of inertia allows us to identify single-particle and shell effects that are characteristic to these different models and to illustrate possible systematic uncertainties related to using the EDF modelling

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“…Instead, we interpret our model in the following way. The single-particle state is either resonance-like (large amplitude inside the core of the nucleus) or non-resonant state when they are confined within a large radial box [17,18]. We simply regard a solution obtained by the diagonalization as a "three-body resonance" if it is dominated by resonance-like single-particle states.…”

Section: A Three-body Model Based On Mean-field Calculationmentioning

confidence: 99%

“…In the present study, we focus on 102 Sb = 100 Sn + p + n system, whose core, 100 Sn, is the largest N = Z doubly-magic nucleus located just below the proton drip line. In this system, the valence nucleons can occupy d-wave states as in 18 F nucleus, where the strong effect of (S, T ) = (1, 0) coupling channel is observed as the implementation of the good SU(4) symmetry [9]. Therefore, the nucleus 102 Sb would be the last possible system on N = Z line in which the T = 0 pair coupling between the valence nucleons may play a significant role although further developments of experimental facilities are needed to perform spectroscopies of the proton-rich nucleus.…”

Section: Introductionmentioning

confidence: 99%

Three-body model for an isoscalar spin-triplet neutron-proton pair inSb102

Tanimura

Sagawa

2016

Phys. Rev. C

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We discuss the effect of neutron-proton pair in T = 0, S = 1 channel in the low-lying states of 102 Sb = 100 Sn + p + n nucleus in a three-body model. To this end, we construct a core + p + n three-body model with a model space based on Skrme and relativistic mean field calculations. The latter model is found to be more realistic for the present case due to the pseudo-spin symmetry. It turns out that the (L, S, T ) = (0, 1, 0) coupling scheme of valence nucleons is strongly hindered in 102 Sb with the relativistic model because of the near degeneracy of the g 7/2 and d 5/2 orbitals in the valence space. The effect of this neutron-proton coupling is clearly seen in the charge-exchange Gamow-Teller-type transitions rather than in the binding energies of T = 0 and T = 1 states.

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Real stabilization method for single particle resonances

Cited by 10 publications

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Real stabilization method for nuclear single-particle resonances

Real stabilization method for nuclear single-particle resonances

Properties of nuclei in the nobelium region studied within the covariant, Skyrme, and Gogny energy density functionals

Three-body model for an isoscalar spin-triplet neutron-proton pair inSb102

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