The quasiparticle random-phase approximation (QRPA) is a widely used framework for describing nuclear collective excitations, such as giant resonances and low-energy modes, within the mean-field or density functional theory (DFT). However, the construction and diagonalization of the QRPA matrix in the two-quasiparticle basis can be computationally demanding, especially when nuclear deformation is taken into account.

To address this challenge, the finite-amplitude method (FAM) [1,2] has been proposed as an efficient approach to solve the QRPA equations within the time-dependent DFT framework. In this talk, I will present an overview of the FAM, with an emphasis on its implementation in existing DFT codes. I will also discuss its extensions to various QRPA applications, including low-energy collective excitations, zero-energy modes, and the QRPA sum rule.

[1] T. Nakatsukasa, T. Inakura, and K. Yabana, Phys. Rev. C 76, 024318 (2007).

[2] P. Avogadro and T. Nakatsukasa, Phys. Rev. C 84, 014314 (2011).

Biography

Dr. Nobuo Hinohara is an Assistant Professor at the Center for Computational Sciences, University of Tsukuba. He earned his Doctor of Science in Physics from Kyoto University, specializing in nuclear large-amplitude collective motion. He previously held research positions at RIKEN, the University of North Carolina, and the University of Tennessee, and was a visiting scholar at Michigan State University. His research focuses on nuclear structure theory, including nuclear density functional theory.

Inviter: Xiao Lu