Shape evolution of neutron-rich 106,108,110Mo isotopes in the triaxial degree of freedom

Ha, J.; Sumikama, T.; Browne, F.; Hinohara, N.; Bruce, A. M.; Choi, S.; Nishizuka, I.; Nishimura, S.; Doornenbal, P.; Lorusso, G.; Söderström, P.-A.; Watanabe, H.; Daido, R.; Patel, Z.; Rice, S.; Sinclair, L.; Wu, J.; Xu, Z. Y.; Yagi, A.; Baba, H.; Chiga, N.; Carroll, R.; Didierjean, F.; Fang, Y.; Fukuda, N.; Gey, G.; Ideguchi, E.; Inabe, N.; Isobe, T.; Kameda, D.; Kojouharov, I.; Kurz, N.; Kubo, T.; Lalkovski, S.; Li, Z.; Lozeva, R.; Nishibata, H.; Odahara, A.; Podolyák, Zs; Regan, P. H.; Roberts, O. J.; Sakurai, H.; Schaffner, H.; Simpson, G. S.; Suzuki, H.; Takeda, H.; Tanaka, M.; Taprogge, J.; Werner, V.; Wieland, O.

doi:10.1103/physrevc.101.044311

Title: Shape evolution of neutron-rich ^106,108,110Mo isotopes in the triaxial degree of freedom

Journal Article · Mon Apr 20 00:00:00 EDT 2020 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.101.044311· OSTI ID:1800744

Ha, J. ^[1];

^[2]; Browne, F. ^[3]; Hinohara, N. ^[4]; Bruce, A. M. ^[5]; Choi, S. ^[6]; Nishizuka, I. ^[7]; Nishimura, S. ^[8]; Doornenbal, P. ^[8]; Lorusso, G. ^[9]; Söderström, P.-A. ^[8]; Watanabe, H. ^[10]; Daido, R. ^[11]; Patel, Z. ^[12]; Rice, S. ^[12]; Sinclair, L. ^[13]; Wu, J. ^[14]; Xu, Z. Y. ^[15]; Yagi, A. ^[11]; Baba, H. ^[8] more »

Seoul National Univ. (Korea, Republic of); RIKEN, Saitama (Japan). Nishina Center
RIKEN, Saitama (Japan). Nishina Center; Tohoku Univ., Sendai (Japan)
RIKEN, Saitama (Japan). Nishina Center; Univ. of Brighton (United Kingdom)
University of Tsukuba (Japan)
Univ. of Brighton (United Kingdom)
Seoul National Univ. (Korea, Republic of)
Tohoku Univ., Sendai (Japan)
RIKEN, Saitama (Japan). Nishina Center
RIKEN, Saitama (Japan). Nishina Center; Univ. of Surrey, Guildford (United Kingdom); National Physical Lab., Teddington (United Kingdom)
RIKEN, Saitama (Japan). Nishina Center; Beihang University, Beijing (China)
Osaka Univ. (Japan)
RIKEN, Saitama (Japan). Nishina Center; Univ. of Surrey, Guildford (United Kingdom)
RIKEN, Saitama (Japan). Nishina Center; Univ. of York (United Kingdom)
RIKEN, Saitama (Japan). Nishina Center; Peking Univ., Beijing (China)
Univ. of Tokyo (Japan); University of Hong Kong (Hong Kong)
Tohoku Univ., Sendai (Japan); RIKEN, Saitama (Japan). Nishina Center
Univ. of Surrey, Guildford (United Kingdom)
Institut Pluridisciplinaire Hubert Curien (IPHC), Strasbourg (France); Centre National de la Recherche Scientifique (CNRS), Paris (France). Institut National de Physique Nucléaire et de Physique des Particules; Université de Strasbourg (France)
Laboratory of Subatomic Physics & Cosmology, Grenoble (France); Univ. of Grenoble Alpes (France); Centre National de la Recherche Scientifique (CNRS), Paris (France). Institut National de Physique Nucléaire et de Physique des Particules; Inst. Laue-Langevin (ILL), Grenoble (France)
GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt (Germany)
University of Sofia (Bulgaria)
Peking Univ., Beijing (China)
Institut Pluridisciplinaire Hubert Curien (IPHC), Strasbourg (France); Centre National de la Recherche Scientifique (CNRS), Paris (France). Institut National de Physique Nucléaire et de Physique des Particules; Université de Strasbourg (France); Centre de Sciences Nucléaires et de Sciences de la Matière (CSNSM), Orsay (France); Université Paris-Sud (France)
Univ. of Surrey, Guildford (United Kingdom); National Physical Lab., Teddington (United Kingdom)
Laboratory of Subatomic Physics & Cosmology, Grenoble (France); Univ. of Grenoble Alpes (France); Centre National de la Recherche Scientifique (CNRS), Paris (France). Institut National de Physique Nucléaire et de Physique des Particules
RIKEN, Saitama (Japan). Nishina Center; Univ. Autonoma de Madrid (Spain); Instituto de Estructura de la Materia, Madrid (Spain)
Yale Univ., New Haven, CT (United States); Technische Univ. Darmstadt (Germany)
National Inst. of Nuclear Physics (INFN), Milan (Italy)

Background: Neutron-rich nuclei with mass number between 100 and 110 attract much attention, since several kinds of shapes, such as spherical, prolate, oblate, and triaxial shapes, are predicted. In particular, for neutron-rich Mo isotopes, different models predict different magnitudes and rigidity of triaxial deformation. Previous interpretations of experimental results based solely on low-lying $$2^+_2$$ states are insufficient to distinguish between the rigid triaxial shape, $$\gamma$$ vibration, or $$\gamma$$-soft rotor. Purpose: The shape evolution of ¹⁰⁶Mo, ¹⁰⁸Mo, and ¹¹⁰Mo is investigated through their $$2^+_1$$-state lifetimes, decay-branching ratios of the $$2^+_2$$ state, and energies of the low-lying collective excited states with $K^π = 0^+, 2^+$, and $4^+$. Method: $$\beta$$-delayed $$\gamma$$-ray spectroscopy was employed for neutron-rich Nb and Zr isotopes produced at the RIKEN RI Beam Factory to populate excited states in ¹⁰⁶Mo, ¹⁰⁸Mo, and ¹¹⁰Mo. The EUroball-RIKEN Cluster Array was used for high-resolution $$\gamma$$-ray detection and lifetimes of the $$2^+_1$$ states were determined using the UK fast-timing array of LaBr₃(Ce) detectors. Results: New $$\gamma$$-ray transitions and levels are reported, including newly assigned $$0^+_2$$ states in ^108,110Mo. Quadrupole deformations were obtained for ^106,108,110Mo from their $$2^+_1$$ energies and lifetimes. The $$\beta$$-delayed neutron-emission probabilities of ¹⁰⁸Nb and ¹¹⁰Nb were determined by examining the $$\gamma$$ rays of their respective daughter decays. Conclusions: In this work, the even-odd energy staggering in the $$2^+_2$$ band was compared with typical patterns of the $$\gamma$$-vibrational band, rigid triaxial rotor, and $$\gamma$$-soft rotor. The very small even-odd staggering of ¹⁰⁶Mo, ¹⁰⁸Mo, and ¹¹⁰Mo favors a $$\gamma$$-vibrational band assignment. The kinematic moment of inertia for the $$2^+_2$$ band showed a trend similar to the ground-state band, which is as expected for the $$\gamma$$-vibrational band. Beyond-mean-field calculations employing the constrained Hartree-Fock-Bogoliubov and local quasiparticle-random-phase approximation method using the SLy5 + T interaction reproduced the ground and $$2^+_2$$ bands in ¹⁰⁶Mo and ¹⁰⁸Mo. The collective wave functions are consistent with the interpretation of the $$2^+_2$$ band as the $$\gamma$$-vibrational band of the prolate shape. However, the staggering pattern observed in ¹¹⁰Mo differs from the one suggested in the calculations which predict a $$\gamma$$-soft rotor. There was no experimental indication of the oblate shape or the $$\gamma$$-soft rotor predicted in these Mo isotopes.

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Research Organization:: Yale Univ., New Haven, CT (United States)

Sponsoring Organization:: USDOE Office of Science (SC); Japan Society for the Promotion of Science (JSPS); National Research Foundation of Korea (NRF); Science and Technology Facilities Council (STFC); Federal Ministry of Education and Research (BMBF); Ministry of Science and Innovation (MICINN); UK National Measurement Office (NMO)

Grant/Contract Number:: FG02-91ER40609; 24740188; 25247045; 26800117; 16K17680; 2016K1A3A7A09005575; ST/J000132/1; ST/J000051/1; ST/K502431/1; 05P19RDFN1; FPA2009-13377-C02; FPA2011- 29854-C04; 2301752; FG02-91ER-40609

OSTI ID:: 1800744

Alternate ID(s):: OSTI ID: 1615533

Journal Information:: Physical Review C, Vol. 101, Issue 4; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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References (55)

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Title: Shape evolution of neutron-rich ^106,108,110Mo isotopes in the triaxial degree of freedom