Nature of Isoscalar Dipole Resonances in Heavy Nuclei
Keywords:kinetic model, isoscalar dipole nuclear response, velocity field, vortex and compression modes
The isoscalar dipole nuclear response reveals low- and high-energy resonances. The nature of isoscalar dipole resonances in heavy spherical nuclei is studied, by using a translation-invariant kinetic model of small oscillations of finite Fermi systems. Calculations of the velocity field at the centroid energy show a pure vortex character of the low-energy isoscalar dipole resonance in spherical nuclei and confirm the anisotropic compression character of the high-energy one. The evolution of the velocity field as a function of the excitation energy of the nucleus within the resonance width is studied. It is found that the low-energy isoscalar dipole resonance retains a vortex character, while with this collective excitation also involves a compression, as the energy increases. The high-energy resonance keeps the compression character with a change in the excitation energy within the resonance width, but the compression-expansion region of the velocity field related to this resonance shifts inside the nucleus.
H.L. Clark, Y.-W.Lui, D.H. Youngblood. Isoscalar giant dipole resonance in 90Zr, 116Sn, and 208Pb. it Phys. Rev. C 63, 031301 (2001). https://doi.org/10.1103/PhysRevC.63.031301
D.H. Youngblood et al. Isoscalar E0−E3 strength in 116Sn, 144Sm, 154Sm, and 208Pb. Phys. Rev. C 69, 034315 (2004). https://doi.org/10.1103/PhysRevC.69.034315
M. Uchida, H. Sakaguchi, M. Itoh, M. Yosoi, T. Kawabata, H. Takeda, Y. Yasuda, T. Murakami, T. Ishikawa, T. Taki, N. Tsukahara, S. Terashima, U. Garg, M. Hedden, B. Kharraja, M. Koss, B.K. Nayak, S. Zhu, M. Fujiwara, H. Fujimura, K. Hara, E. Obayashi, H.P. Yoshida, H. Akimune, M.N. Harakeh, M. Volkerts, Isoscalar giant dipole resonance in Pb-208 via inelastic alpha scattering at 400 MeV and nuclear incompressibility. Phys. Lett. B 557, 12 (2003). https://doi.org/10.1016/S0370-2693(03)00137-0
M. Uchida, H. Sakaguchi, M. Itoh, M. Yosoi, T. Kawabata, Y. Yasuda, H. Takeda, T. Murakami, S. Terashima, S. Kishi, U. Garg, P. Boutachkov, M. Hedden, B. Kharraja, M. Koss, B.K. Nayak, S. Zhu, M. Fujiwara, H. Fujimura, H. P. Yoshida, K. Hara, H. Akimune, M.N. Harakeh. Systematics of the bimodal isoscalar giant dipole resonance. Phys. Rev. C 69, 051301(R). (2004).
N. Van Giai, H. Sagawa. Monopole and dipole compression modes in nuclei. Nucl. Phys. A 371, 1 (1981). https://doi.org/10.1016/0375-9474(81)90741-7
G. Colo, N. Van Giai, P.F. Bortignon, M.R. Quaglia. On dipole compression modes in nuclei. Phys. Lett. B 485, 362 (2000). https://doi.org/10.1016/S0370-2693(00)00725-5
M.L. Gorelik, M.H. Urin. Properties of the isoscalar giant dipole resonance Phys. Rev. C 64, 047301 (2001). https://doi.org/10.1103/PhysRevC.64.047301
S. Shlomo, A.I. Sanzhur. Isoscalar giant dipole resonance and nuclear matter incompressibility coefficient. Phys. Rev. C 65, 044310 (2002). https://doi.org/10.1103/PhysRevC.65.044310
J. Kvasil, N. Lo Iudice, Ch. Stoyanov, P. Alexa. Compressional and toroidal dipole modes in nuclei. J. Phys. G: Nucl. Part. Phys. 29, 753 (2003). https://doi.org/10.1088/0954-3899/29/4/312
J. Piekarewicz. Relativistic approach to isoscalar giant resonances in 208Pb. Phys. Rev. C 62, 051304(R) (2000).
D. Vretenar, A. Wandelt, P. Ring. Isoscalar dipole mode in relativistic random phase approximation. Phys. Lett. B 487, 334 (2000). https://doi.org/10.1016/S0370-2693(00)00827-3
E.N. Balbutsev, I.N. Mikhailov. Dynamics of nuclear integral characteristics. J. Phys. G 14, 545 (1988). https://doi.org/10.1088/0305-4616/14/5/014
E.B. Balbutsev, I.V. Molodtsova, A.V. Unzhakova. Compressional and toroidal dipole excitations of atomic nuclei. Europhys. Lett. 26, 499 (1994). https://doi.org/10.1209/0295-5075/26/7/004
V.M. Kolomietz, S. Shlomo. Isoscalar compression modes within fluid dynamic approach. Phys. Rev. C 61, 064302 (2000). https://doi.org/10.1103/PhysRevC.61.064302
V.I. Abrosimov, A. Dellafiore, F. Matera. Kinetic-theory description of isoscalar dipole modes. Nucl. Phys. A 697, 748 (2002). https://doi.org/10.1016/S0375-9474(01)01273-8
M. Urban. Pygmy resonance and torus mode within Vlasov dynamics. Phys. Rev. C 85, 034322 (2012). https://doi.org/10.1103/PhysRevC.85.034322
D. Vretenar, N. Paar, P. Ring, T. Nikˇsi´c. Toroidal dipole resonances in the relativistic random phase approximation. Phys. Rev. C 65, 021301(R) (2002).
V.I. Abrosimov, A. Dellafiore, F. Matera. Int. Conf. on Collective Motion in Nuclei under Extreme Condition. Book of Abstracts. Paris (2003), P. 54.
J. Kvasil, V.O. Nesterenko, W. Kleinig, P.G. Reinhard, P. Vesely. General treatment of vortical, toroidal, and compression modes. Phys. Rev. C 84, 034303 (2011). https://doi.org/10.1103/PhysRevC.84.034303
A. Repko, P.-G. Reinhard, V.O. Nesterenko, J. Kvasil. Toroidal nature of the low-energy E1 mode. Phys. Rev. C 87, 024305 (2013). https://doi.org/10.1103/PhysRevC.87.024305
P.-G. Reinhard, V.O. Nesterenko, A. Repko, J. Kvasil. Nuclear vorticity in isoscalar E1 modes: Skyrme-random-phase approximation analysis.Phys. Rev. C 89, 024321 (2014). https://doi.org/10.1103/PhysRevC.89.024321
V.I. Abrosimov, A. Dellafiore, F. Matera. Collective motion in finite Fermi systems within Vlasov dynamics. Phys. Part. Nucl. 36, 699 (2005).
V.I. Abrosimov, O.I. Davydovska. Residual interaction effect on isoscalar dipole modes in heavy nuclei. Ukr. J. Phys. 61, No. 7, 565 (2016). https://doi.org/10.15407/ujpe61.07.0565
I. Hamamoto, H. Sagawa, X.Z. Zhang. Displacement fields of excited states in stable and neutron drip-line nuclei. Nucl. Phys. A 648, 203 (1999). https://doi.org/10.1016/S0375-9474(99)00024-X
V.I. Abrosimov, O.I. Davydovska. Vortex motion of nucleons at isovector dipole excitations of nuclei. Ukr. J. Phys. 52, No. 11, 1030 (2007).
A. Bohr, B.R. Mottelson. Nuclear Structure, Vol. 2: Nuclear Deformations (Benjamin, 1975).
How to Cite
License to Publish the Paper
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.