Programme

P.10 -- Poster, VCTP-49

Date: Wednesday, 31 July 2024

Time: 08:30 - 10:00

Applying of complex scaling method to analyze the resonances in the weakly-bound nuclei

Tran Dieu Thuy(1), Tran Viet Nhan Hao(1), Kazuhito Mizuyama(2)

(1) Faculty of Physics, University of Education, Hue University, 34 Le Loi Street, Hue City, Vietnam (2) Institute of Research and Development, Duy Tan University, 03 Quang Trung Street, Danang City, Vietnam

Resonances are represented as the poles of the S-matrix on the complex energy plane. However, The position of the real part of the S-matrix poles does not always reflect the position of the peak of cross-sections or strength function [1,2]. The relationship between S-matrix poles and peak positions is intricate because the Jost function [3,4] is essentially a multivalued function of complex energy, so there can be energy shifts caused by the nature of the multivalued function, and if several poles exist in close proximity to each other, there is a superposition of the contributions of the individual poles. There are also background contributions arising from non-resonant continuum state contributions, because interference effects, including Fano effects, also affect the peak structure. The complex scaling method is well known as a method which can decompose the solution contribution of the S-matrix poles in the strength function and cross-sections. In this study, we apply this approach in the framework of the Jost function method. Our primary results show that by considering the asymptotic behavior of regular solutions at the poles, we can understand why the complex scaling method can distinguish and separate non-resonant continuum and resonant states.

Presenter: Trần Diệu Thùy