Generalized time-dependent generator coordinate method for small- and large-amplitude collective motion

Scientific paper - Original scientific paper

• Author: B. Li
• Author: D. Vretenar
• Author: T. Nikšić
• Author: P. W. Zhao
• Author: J. Meng
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

An implementation of the generalized time-dependent generator coordinated method (TD-GCM) is developed, that can be applied to the dynamics of small- and large-amplitude collective motion of atomic nuclei. Both the generator states and weight functions of the GCM correlated wave function depend on time. The initial generator states are obtained as solutions of deformation-constrained self-consistent mean-field equations, and are evolved in time by the standard mean-field equations of nuclear density functional theory (TD-DFT). The TD-DFT trajectories are used as a generally nonorthogonal and overcomplete basis in which the TD-GCM wave function is expanded. The weights, expressed in terms of a collective wave function, obey a TD-GCM (integral) equation. In this explorative paper, the generalized TD-GCM is applied to the excitation energies and spreading width of giant resonances, and to the dynamics of induced fission. The necessity of including pairing correlations in the basis of TD-DFT trajectories is demonstrated in the latter example.

• Keywords (english): generalized time-dependent generator coordinated method; TD-GCM
• 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. 108, no. 1, 014321
• p-ISSN: 2469-9985
• e-ISSN: 2469-9993
• DOI: https://doi.org/10.1103/PhysRevC.108.014321
• URN:NBN: urn:nbn:hr:217:017448
• Publication: 2023
• 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; Title (english): Implementation of top research within the Scientific Center of Excellence for Quantum and Complex Systems, and Representations of Lie Algebras; Acronym: QuantiXLie; Leader: Hrvoje Buljan; Jurisdiction: eu; Funding stream: European Regional Development Fund
• Project: Number: IP-2018-01-5987; Title (croatian): Kvantificiranje neodređenosti u formalizmu nuklearnih energijskih funkcionala gustoće; Title (english): Uncertainty Quantification within the nuclear energy density functional framework; Acronym: NucEDF; Leader: Tamara Nikšić; Jurisdiction: Croatia; Funding stream: Research Projects
• Document URL: https://link.aps.org/doi/10.1103/PhysRevC.108.014321
• Type of resource: Text
• Access conditions: Open access
• Public note: © 2023 American Physical Society. Received 26 April 2023. Revised 28 June 2023. Accepted 11 July 2023. Published 21 July 2023.
• Created on: 2024-07-29 10:19:13