Semiclassical description of chiral geometry in triaxial nuclei

R. Budaca
Phys. Rev. C 98, 014303 – Published 3 July 2018

Abstract

A triaxial particle-rotor Hamiltonian for three mutually perpendicular angular momentum vectors, corresponding to two high-j quasiparticles and the rotation of a triaxial collective core, is treated within a time-dependent variational principle. The resulting classical energy function is used to investigate the rotational dynamics of the system. It is found that the classical energy function exhibits two minima starting from a critical angular momentum value which depends on the single-particle configuration and the asymmetry measure γ. The emergence of the two minima is attributed to the breaking of the chiral symmetry. Quantizing the energy function for a given angular momentum, one obtains a Schrödinger equation with a coordinate dependent mass term for a symmetrical potential which changes from a single to a double well shape as the angular momentum passes the critical value. The energies of the chiral partner bands for a given angular momentum are then given by the lowest two eigenvalues. The procedure is exemplified for maximal triaxiality and two h11/2 quasiparticles, with the results used for the description of the chiral doublet bands in Pr134.

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  • Received 4 May 2018

DOI:https://doi.org/10.1103/PhysRevC.98.014303

©2018 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

R. Budaca*

  • “Horia Hulubei” National Institute for Physics and Nuclear Engineering, Strada Reactorului 30, POB MG6, RO-077125 Bucharest-Măgurele, Romania and Academy of Romanian Scientists, Splaiul Independenţei 54, RO-050094 Bucharest, Romania

  • *rbudaca@theory.nipne.ro; budacaradu@gmail.com

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Vol. 98, Iss. 1 — July 2018

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