Triaxial rotor modes in finite-N boson systems

Abstract

We propose an algebraic approach to elucidate the dynamic characteristics of triaxial rotor modes in nuclei by mapping a triaxial rotor Hamiltonian to the interacting boson model (IBM) one within a finite-$N$ framework. Our method unveils striking features not observed in conventional modes, exemplified by the $B(E2)$ anomaly, characterized by $B(E2;4_1--2_1^{+})/B(E2;2_1--0_1^{+})<<1$. Using specific examples, we demonstrate that the peculiar properties of low-lying states in both neutron-rich and neutron-deficient Os nuclei can be comprehensively understood through the proposed Hamiltonian, which incorporates both rigid and soft triaxial rotor modes. This algebraic method not only offers fresh insights into triaxial dynamics but also showcases its capability in uncovering emergent exotic collective modes in nuclear structure.

10 pages, 7 figures

References in corpus (3)

• Analytic predictions for nuclear shapes, the prolate dominance and the prolate-oblate shape transition in the proxy-SU(3) model
• Proxy-SU(3) symmetry in heavy deformed nuclei
• Ratio B(E2, 4\rightarrow2)/B(E2, 2\rightarrow 0) in Even-Even Nuclei:Apparent Anomalous Behavior of the Chromium Isotopes

Cited by in corpus (5)

• B(E2) anomaly and triaxial deformation in the interacting boson model
• Anomalous collective modes in atomic nuclei within the proton-neutron interacting boson model
• The IBM Description of the B(E2) Anomaly: Dynamical Triaxiality and Configuration Mixing
• B(E2) anomaly and triaxial deformation within a two-fluid SU(3) symmetry
• Algebraic description of the triaxially to axially rotational shape phase transition