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P. von Neumann-Cosel; V. O. Nesterenko; I. Brandherm; P. I. Vishnevskiy; P.-G. Reinhard; J. Kvasil; H. Matsubara; A. Repko; A. Richter; M. Scheck; A. Tamii

doi:10.1103/PhysRevLett.133.232502

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Candidate Toroidal Electric Dipole Mode in the Spherical Nucleus ${}^{58}{Ni}$

P. von Neumann-Cosel ^1,*, V. O. Nesterenko ^2,3,†, I. Brandherm ¹, P. I. Vishnevskiy ^2,4, P.-G. Reinhard ⁵, J. Kvasil ⁶, H. Matsubara ^7,8, A. Repko ⁹, A. Richter ¹ et al.

M. Scheck ^10,11 and A. Tamii ⁷

¹Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
²Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow region 141980, Russia
³State University “Dubna”, Dubna, Moscow region 141980, Russia
⁴Institute of Nuclear Physics Almaty, Almaty Region, Kazakhstan
⁵Institut für Theoretische Physik II, Universität Erlangen, D-91058 Erlangen, Germany
⁶Institute of Particle and Nuclear Physics, Charles University, CZ-18000, Praha 8, Czech Republic
⁷Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan
⁸Faculty of Radiological Technology, Fujita Health University, Aichi 470-1192, Japan
⁹Institute of Physics, Slovak Academy of Sciences, 84511 Bratislava, Slovakia
¹⁰School of Computing, Engineering, and Physical Sciences, University of the West of Scotland, Paisley PA1 2BE, United Kingdom
¹¹Scottish Universities Physics Alliance, Glasgow 612 8QQ, United Kingdom

^*Contact author: vnc@ikp.tu-darmstadt.de
^†Contact author: nester@theor.jinr.ru

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Phys. Rev. Lett. 133, 232502 – Published 4 December, 2024Erratum Phys. Rev. Lett. 136, 179901 (2026)

DOI: https://doi.org/10.1103/PhysRevLett.133.232502

Abstract

Dipole toroidal modes appear in many fields of physics. In nuclei, such a mode was predicted more than 50 years ago, but clear experimental evidence was lacking so far. Using a combination of high-resolution inelastic scattering experiments with photons, electrons, and protons, we identify for the first time candidates for toroidal dipole excitations in the nucleus ${}^{58}{Ni}$ and demonstrate that transverse electron scattering form factors represent a relevant experimental observable to prove their nature.

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Erratum

Erratum: Candidate Toroidal Electric Dipole Mode in the Spherical Nucleus ${}^{58}{Ni}$ [Phys. Rev. Lett. 133, 232502 (2024)]

P. von Neumann-Cosel, V. O. Nesterenko, I. Brandherm, P. I. Vishnevskiy, P.-G. Reinhard, J. Kvasil, H. Matsubara, A. Repko, A. Richter, M. Scheck, and A. Tamii

Phys. Rev. Lett. 136, 179901 (2026)

synopsis

A Toroidal Mode in an Excited Nucleus

Published 4 December, 2024

Nuclear scattering data suggest the possible observation of a predicted but never-observed nuclear vibration.

Physical Review Letters

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Candidate Toroidal Electric Dipole Mode in the Spherical Nucleus ${}^{58}{Ni}$

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: Candidate Toroidal Electric Dipole Mode in the Spherical Nucleus ${}^{58}{Ni}$ [Phys. Rev. Lett. 133, 232502 (2024)]

synopsis

A Toroidal Mode in an Excited Nucleus

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Candidate Toroidal Electric Dipole Mode in the Spherical Nucleus Ni58

Abstract

Physics Subject Headings (PhySH)

Erratum

Erratum: Candidate Toroidal Electric Dipole Mode in the Spherical Nucleus Ni58 [Phys. Rev. Lett. 133, 232502 (2024)]

synopsis

A Toroidal Mode in an Excited Nucleus

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Candidate Toroidal Electric Dipole Mode in the Spherical Nucleus ${}^{58}{Ni}$

Erratum: Candidate Toroidal Electric Dipole Mode in the Spherical Nucleus ${}^{58}{Ni}$ [Phys. Rev. Lett. 133, 232502 (2024)]