Nuclear Physics and Atomic Energy

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Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English
  Periodicity: 4 times per year

  Open access peer reviewed journal


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Nucl. Phys. At. Energy 2024, volume 25, issue 2, pages 99-104.
Section: Nuclear Physics.
Received: 27.12.2023; Accepted: 27.05.2024; Published online: 28.06.2024.
PDF Full text (ua)
https://doi.org/10.15407/jnpae2024.02.099

Vortex octupole mode in the kinetic model of collective excitations in nuclei

V. I. Abrosimov*, O. I. Davydovska

Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

*Corresponding author. E-mail address: abrosim@kinr.kiev.ua

Abstract: The nature of a new isoscalar octupole resonance found within a kinetic model based on the Vlasov equation for finite Fermi systems with moving surfaces is studied. It is shown that this octupole resonance is due to dynamic effects of the nuclear surface, like the low-energy isoscalar dipole resonance (vortex dipole mode) observed in heavy nuclei. It is found that the velocity field associated with the new octupole resonance has a vortex character in the surface region of the nuclear liquid and, moreover, the vortex motion of nucleons is fragmented into three areas near the nuclear surface. At the same time, the velocity field associated with the high-energy octupole resonance found within our kinetic model displays an octupole deformation form and includes a compression within the nuclear fluid, which is consistent with the corresponding quantum calculations in the random phase approximation.

Keywords: isoscalar octupole resonances, kinetic model, strength function, dynamic surface effects, velocity field.

References:

1. V.I. Abrosimov, O.I. Davydovska. Dynamic effects of nuclear surface in isoscalar dipole modes. Nucl. Phys. A 1031 (2023) 122609. https://doi.org/10.1016/j.nuclphysa.2023.122609

2. D. Vretenar, A. Wandelt, P. Ring, Isoscalar dipole mode in relativistic random phase approximation. Phys. Lett. B 487 (2000) 334. https://doi.org/10.1016/S0370-2693(00)00827-3

3. V.I. Abrosimov et al. Octupole response and stability of spherical shape in heavy nuclei. Nucl. Phys. A 727 (2003) 220. https://doi.org/10.1016/j.nuclphysa.2003.08.014

4. A. van Der Woude. Giant resonances. Prog. Part. Nucl. Phys. 18 (1987) 217. https://doi.org/10.1016/0146-6410(87)90011-1

5. V.I. Abrosimov, A. Dellafiore, F. Matera. Collective motion in finite Fermi systems within Vlasov dynamics. Phys. Part. Nucl. 36 (2005) 699. https://doi.org/10.48550/arXiv.nucl-th/0505064

6. V.I. Abrosimov, M. Di Toro, V. Strutinsky. Kinetic equation for collective modes of a Fermi system with free surface. Nucl. Phys. A 562 (1993) 41. https://doi.org/10.1016/0375-9474(93)90031-R

7. P. Ring, P. Schuck. The Nuclear Many-Body Problem (New York: Springer-Verlag, 1980) 735 p. https://hadron.physics.fsu.edu/~akbar/NuclearTextBook.pdf

8. E.M. Lifshitz, L.P. Pitaevsky. Physical Kinetics. Course of Theoretical Physics. Vol. 10. Transl. from the Russian (London: Pergamon Press, 1979) 625 p. Google books

9. D.M. Brink, A. Dellafiore, M. Di Toro. Solution of the Vlasov equation for collective modes in nuclei. Nucl. Phys. A 456 (1986) 205. https://doi.org/10.1016/0375-9474(86)90390-8

10. A. Bohr, B.R. Mottelson. Nuclear Structure. Vol. II (New York, W. A. Benjamin, Inc., 1975). Google books

11. M. Uchida et al. Isoscalar giant dipole resonance in 208Pb via inelastic α scattering at 400 MeV and nuclear incompressibility. Phys. Lett. B 557 (2003) 12. https://doi.org/10.1016/S0370-2693(03)00137-0

12. T.S. Dumitrescu et al. Collective excitations in spherical nuclei: response functions, transition densities and velocity fields. J. Phys. G: Nucl. Phys. 12 (1986) 349. https://doi.org/10.1088/0305-4616/12/4/007