학술논문
Manifestation of the Berry phase in the atomic nucleus $^{213}$Pb
Document Type
Working Paper
Author
Valiente-Dobón, J. J.; Gottardo, A.; Benzoni, G.; Gadea, A.; Lunardi, S.; Algora, A.; de Angelis, G.; Bazzacco, D.; Benlliure, J.; Boutachkov, P.; Bracco, A.; Bruce, A. M.; Camera, F.; Casarejos, E.; Cortés, M. L.; Crespi, F. C. L.; Corsi, A.; Domingo-Pardo, C.; Doncel, M.; Engert, T.; Geissel, H.; Gerl, J.; Goel, N.; Górska, M.; Grebosz, J.; Gregor, E.; Habermann, T.; Klupp, S.; Kojouharov, I.; Kurz, N.; Lenzi, S. M.; Leoni, S.; Mandal, S.; Menegazzo, R.; Mengoni, D.; Million, B.; Morales, A. I.; Napoli, D. R.; Naqvi, F.; Nociforo, C.; Pfutzner, M.; Pietri, S.; Podolyak, Zs.; Prochazka, A.; Recchia, F.; Regan, P. H.; Rudolph, D.; Sahin, E.; Scha_ner, H.; Sharma, A.; Sitar, B.; Siwal, D.; Strmen, P.; Szarka, I.; Ur, C. A.; Walker, P. M.; Weick, H.; Wieland, O.; Wollersheim, H-J.; Van Isacker, P.
Source
Subject
Language
Abstract
The neutron-rich $^{213}$Pb isotope was produced in the fragmentation of a primary 1 GeV $A$ $^{238}$U beam, separated in FRS in mass and atomic number, and then implanted for isomer decay $\gamma$-ray spectroscopy with the RISING setup at GSI. A newly observed isomer and its measured decay properties indicate that states in $^{213}$Pb are characterized by the seniority quantum number that counts the nucleons not in pairs coupled to angular momentum $J=0$. The conservation of seniority is a consequence of the Berry phase associated with particle-hole conjugation, which becomes gauge invariant and therefore observable in semi-magic nuclei where nucleons half-fill the valence shell. The $\gamma$-ray spectroscopic observables in $^{213}$Pb are thus found to be driven by two mechanisms, particle-hole conjugation and seniority conservation, which are intertwined through the Berry phase.