Pairing at High Spin

Frauendorf, S.

doi:10.1142/9789814412490_0039

Cited by 4 publications

(9 citation statements)

References 26 publications

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“…One of the most attractive applications of the semiclassical periodic-orbit theory, in line with one of the main activities of V.G. Solovjov, is its extension to the spin-orbit and pairing interactions [24,93], and their influence on the collective vibrational and rotational excitations in heavy deformed neutron-rich nuclei [30,199,200,205].…”

Section: Discussionmentioning

confidence: 99%

“…In nuclear physics, the spin of the nucleons plays an important role in the MI calculations [23,30,42,82]. As shown in [42,82], it leads in particular to the essential paramagnetic effects in the MI through its smooth ETF part.…”

Section: Discussionmentioning

confidence: 99%

“…We emphasize that the simple rigid-body moment of inertia gives a quite accurate approximation for the full ETF value. Being aware of the mutual interplay between rotation and pairing correlations [30,199,200], it would be especially interesting to work out an approach that is able to determine the nuclear structure depending on its angular velocity, as we have done here in the ETF approach, but taking pairing correlations and their rotational quenching explicitly into account.…”

Section: Discussionmentioning

confidence: 99%

“…One has, however, to keep in mind that shell and pairing effects, that go beyond the ETF approach, are not included in this description. These effects are not only both present, but influence each other to a large extent, especially for the collective high-spin rotations of strongly deformed nuclei [30,199,200].…”

Section: B Self-consistent Etf Description Of Nuclear Rotationsmentioning

confidence: 99%

“…However, the HF and HFB approaches go beyond the RPA since they can be applied for large-amplitude collective motion as well. Concerning all these approaches, we should also mention pairing correlations [25][26][27][28][29], and high spins physics (see [30] for a review). The problem of the coexistence of oblate-prolate shapes in relation to rotational bands was discussed in [31,32].…”

Section: Introductionmentioning

confidence: 99%

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Semiclassical approaches to nuclear dynamics

2017

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The extended Gutzwiller trajectory approach is presented for the semiclassical description of nuclear collective dynamics, in line with the main topics of the fruitful activity of V.G. Solovjov. Within the Fermi-liquid droplet model, the leptodermous effective surface approximation was applied to calculations of energies, sum rules and transition densities for the neutron-proton asymmetry of the isovector giant-dipole resonance and found to be in good agreement with the experimental data. By using the Strutinsky shell correction method, the semiclassical collective transport coefficients such as nuclear inertia, friction, stiffness, and moments of inertia can be derived beyond the quantum perturbation approximation of the response function theory and the cranking model.The averaged particle-number dependence of the low-lying collective vibrational states are described in good agreement with basic experimental data, mainly due to an enhancement of the collective inertia as compared to its irrotational flow value. Shell components of the moment of inertia are derived in terms of the periodic-orbit free-energy shell corrections. A good agreement between the semiclassical extended Thomas-Fermi moments of inertia with shell corrections and the quantum results is obtained for different nuclear deformations and particle numbers. Shell effects are shown to be exponentially dampted out with increasing temperature in all the transport coefficients.Comment: 83 pages, 39 figures, 4 tables, corrected typos and improved Englis

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: B Self-consistent Etf Description Of Nuclear Rotationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Semiclassical approaches to nuclear dynamics

2017

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Semiclassical moment of inertia shell-structure within the phase-space approach

et al. 2015

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The moment of inertia for nuclear collective rotations was derived within the semiclassical approach based on the cranking model and the Strutinsky shell-correction method by using the non-perturbative periodic-orbit theory in the phase space variables. This moment of inertia for adiabatic (statistical-equilibrium) rotations can be approximated by the generalized rigid-body moment of inertia accounting for the shell corrections of the particle density. A semiclassical phase-space trace formula allows to express quite accurately the shell components of the moment of inertia in terms of the free-energy shell corrections for integrable and partially chaotic Fermi systems, in good agreement with the quantum calculations.

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Unified description of structure and reactions: implementing the nuclear field theory program

Broglia¹,

Bortignon²,

Barranco³

et al. 2016

Phys. Scr.

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Abstract. The modern theory of the atomic nucleus results from the merging of the liquid drop (Niels Bohr and Fritz Kalckar) and of the shell model (Marie Goeppert Meyer and Axel Jensen), which contributed the concepts of collective excitations and of independent-particle motion respectively. The unification of these apparently contradictory views in terms of the particle-vibration (rotation) coupling (Aage Bohr and Ben Mottelson) has allowed for an ever increasingly complete, accurate and detailed description of the nuclear structure, Nuclear Field Theory (NFT, developed by the Copenhagen-Buenos Aires collaboration) providing a powerful quantal embodiment. In keeping with the fact that reactions are not only at the basis of quantum mechanics (statistical interpretation, Max Born) , but also the specific tools to probe the atomic nucleus, NFT is being extended to deal with processes which involve the continuum in an intrinsic fashion, so as to be able to treat them on an equal footing with those associated with discrete states (nuclear structure). As a result, spectroscopic studies of transfer to continuum states could eventually use at profit the NFT rules, extended to take care of recoil effects. In the present contribution we review the implementation of the NFT program of structure and reactions, setting special emphasis on open problems and outstanding predictions.

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Pairing at High Spin

Cited by 4 publications

References 26 publications

Semiclassical approaches to nuclear dynamics

Semiclassical approaches to nuclear dynamics

Semiclassical moment of inertia shell-structure within the phase-space approach

Unified description of structure and reactions: implementing the nuclear field theory program

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