Time-dependent generator coordinate method study of fission: Dissipation effects

Scientific paper - Original scientific paper

• Author: Jie Zhao
• Author: Tamara Nikšić
• Author: Dario Vretenar
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

Starting from a quantum theory of dissipation for nuclear collective motion introduced by Kerman and Koonin [Phys. Scr. 10, 118 (1974)], the time- dependent generator coordinate method (TDGCM) is extended to allow for dissipation effects in the description of induced fission dynamics. The extension is based on a generalization of the GCM generating functions that includes excited states, and the resulting equation of motion in the collective coordinates and excitation energy. With the assumption of a narrow Hamiltonian kernel, an expansion in a power series in collective momenta leads to a Schrödinger-like equation that explicitly includes a dissipation term, proportional to the momentum of the statistical wave function. An illustrative calculation is performed for induced fission of 228Th. The three- dimensional model space includes the axially symmetric quadrupole and octupole shape variables, and the nuclear temperature. When compared with data for photoinduced fission of 228Th, the calculated fission yields demonstrate the important role of the additional term in the Hamiltonian that explicitly takes into account the dissipation of energy of collective motion into intrinsic degrees of freedom.

• Keywords (english): time-dependent generator; fission
• 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. 105, no. 5, 054604
• p-ISSN: 2469-9985
• e-ISSN: 2469-9993
• DOI: https://doi.org/10.1103/PhysRevC.105.054604
• URN:NBN: urn:nbn:hr:217:697857
• Publication: 2022
• 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: IP
• Project: Number: KK.01.1.1.01.0004; Title (english): QuantiXLie Center of Excellence; Acronym: QuantiXLie; Leader: Hrvoje Buljan, Pavle Pandžić; Jurisdiction: eu; Funding stream: European Regional Development Fund - the Competitiveness and Cohesion Operational Programme
• Document URL: https://link.aps.org/doi/10.1103/PhysRevC.105.054604
• Type of resource: Text
• Access conditions: Open access
• Public note: © 2022 American Physical Society. Received 28 February 2022; Accepted 2 May 2022; Published 13 May 2022.
• Created on: 2023-09-07 19:02:09