Nuclear vorticity and the low-energy nuclear response: towards the neutron drip line

Papakonstantinou, P.; Wambach, J.; Mavrommatis, E.; Ponomarev, V. Yu.

doi:10.1016/j.physletb.2004.10.053

Cited by 12 publications

(20 citation statements)

References 31 publications

(53 reference statements)

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“…for the excitation energy ω = ck > 0. The case of deexcitation is easily obtained by replacement k → −k in the continuity equations (5) and (21), k-dependent terms in (15), (27), (35), and equations of Appendix C. The sign ofM S (Eλµ, k) and density-dependentM (Eλµ) is changed as well.…”

Section: Vorticity In Terms Of Velocities and Currentsmentioning

confidence: 99%

General treatment of vortical, toroidal, and compression modes

et al. 2011

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The multipole vortical, toroidal, and compression modes are analyzed. Following the vorticity concept of Ravenhall and Wambach, the vortical operator is derived and related in a simple way to the toroidal and compression operators. The strength functions and velocity fields of the modes are analyzed in 208 Pb within the random-phase-approximation using the Skyrme force SLy6. Both convection and magnetization nuclear currents are taken into account. It is shown that the isoscalar (isovector) vortical and toroidal modes are dominated by the convection (magnetization) nuclear current while the compression mode is fully convective. The relation between the above concept of the vorticity to the hydrodynamical vorticity is briefly discussed.

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Section: Vorticity In Terms Of Velocities and Currentsmentioning

confidence: 99%

General treatment of vortical, toroidal, and compression modes

et al. 2011

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“…The associated irrotational superfluid flow could be an intuitive PDR mode or a compressional mode or a toroidal mode, according to Refs. [8][9][10]. It is essential to study the flow patterns with broken spatial symmetries even for spherical nuclei, because by imposing symmetries the internal motions and flow patterns can be notably different [11].…”

mentioning

confidence: 99%

“…We see that two boundaries are connected and a flow circulation is generated. There have been several studies [8][9][10] pointing out the possible existence of a toroidal mode in neutron-rich nuclei, which may be favorable in the isoscalar PDR at higher energies. In our results, with the standard isovector dipole operator, the flow circulation is a synthetic pattern from sideward compressional flows (not an explicit toroidal mode), demonstrating the complexity of flow patterns due to the finite-size deformation effect and the possible interplay with the toroidal mode.…”

mentioning

confidence: 99%

Probing surface quantum flows in deformed pygmy dipole modes

2017

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In order to explore the nature of collective modes in weakly bound nuclei, we have investigated deformation effects and surface flow patterns of isovector dipole modes in a shape-coexisting nucleus 40 Mg. The calculations were done in a fully self-consistent continuum finite-amplitude Quasiparticle Random Phase Approximation (QRPA) in a large deformed spatial mesh. An unexpected result of pygmy and giant dipole modes having disproportionate deformation splittings in strength functions was obtained. Furthermore, the transition current densities demonstrate that the long-sought core-halo oscillation in pygmy resonances is collective and compressional, corresponding to the lowest excitation energy and the simplest quantum flow topology. Our calculations show that surface flow patterns become more complicated as excitation energies increase.

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“…This is due to the fact that in these nuclei, the transition density of both states is peaked close to the surface. It should be noted, however, that the nature of the two peaks may be quite different, as the lowlying state is expected to be characterized by non-negligible vorticity [24,25]. We also find that the transition density corresponding to the low-lying state has a node inside the nucleus.…”

Section: Isoscalar Quadrupole Responsementioning

confidence: 55%

A microscopic investigation of the transition form factor in the region of collective multipole excitations of stable and unstable nuclei

Papakonstantinou¹,

Mavrommatis²,

Wambach³

et al. 2005

J. Phys. G: Nucl. Part. Phys.

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We have used a self-consistent Skyrme-Hartree-Fock plus Continuum-RPA model to study the low-multipole response of stable and neutron/proton-rich Ni and Sn isotopes. We focus on the momentum-transfer dependence of the strength distribution, as it provides information on the structure of excited nuclear states and in particular on the variations of the transition form factor (TFF) with the energy. Our results show, among other things, that the TFF may show significant energy dependence in the region of the isoscalar giant monopole resonance and that the TFF corresponding to the threshold strength in the case of neutron-rich nuclei is different compared to the one corresponding to the respective giant resonance. Perspectives are given for more detailed future investigations.

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Nuclear vorticity and the low-energy nuclear response: towards the neutron drip line

Cited by 12 publications

References 31 publications

General treatment of vortical, toroidal, and compression modes

General treatment of vortical, toroidal, and compression modes

Probing surface quantum flows in deformed pygmy dipole modes

A microscopic investigation of the transition form factor in the region of collective multipole excitations of stable and unstable nuclei

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