Pairing vibrations in the interacting boson model based on density functional theory

Scientific paper - Original scientific paper

• Author: Kosuke Nomura
• Author: Dario Vretenar
• Author: Z. P. Li
• Author: J. Xiang
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

We propose a method to incorporate the coupling between shape and pairing collective degrees of freedom in the framework of the interacting boson model (IBM), based on the nuclear density functional theory. To account for pairing vibrations, a boson-number nonconserving IBM Hamiltonian is introduced. The Hamiltonian is constructed by using solutions of self-consistent mean-field calculations based on a universal energy density functional and pairing force, with constraints on the axially symmetric quadrupole and pairing intrinsic deformations. By mapping the resulting quadrupole-pairing potential energy surface onto the expectation value of the bosonic Hamiltonian in the boson condensate state, the strength parameters of the boson Hamiltonian are determined. An illustrative calculation is performed for Xe-122, and the method is further explored in a more systematic study of rare-earth N = 92 isotones. The inclusion of the dynamical pairing degree of freedom significantly lowers the energies of bands based on excited 0(+) states. The results are in quantitative agreement with spectroscopic data, and are consistent with those obtained using the collective Hamiltonian approach.

• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review C
• Numbering: vol. 102, no. 5, 054313
• p-ISSN: 2469-9985
• e-ISSN: 2469-9993
• DOI: https://doi.org/10.1103/PhysRevC.102.054313
• URN:NBN: urn:nbn:hr:217:018070
• Publication: 2020-11-10
• Project: Number: TTP-2018-01-3554; Title (english): Exotic Nuclear Structure and Dynamics; Acronym: ExoNSD; Leader: doc. dr. sc. Kosuke Nomura; Jurisdiction: Croatia; Funding stream: TTP
• Project: Number: KK.01.1.1.01.0004; Title (croatian): Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri; Acronym: ZCI QuantiXLie; Leader: prof. dr. sc. Hrvoje Buljan; Jurisdiction: Croatia; Funding stream: ZC
• Document URL: https://link.aps.org/doi/10.1103/PhysRevC.102.054313
• Type of resource: Text
• Access conditions: Open access
• Public note: © 2020 American Physical Society. Received 22 September 2020; accepted 26 October 2020; published 10 November 2020.
• Created on: 2020-11-26 11:20:08