Neutron scattering on a neutron rich nucleus: S-matrix poles from the zeros of the Jost function and continuum structure, with application to ²⁴O

Tran Viet Nhan Hao * and Tran Dieu Thuy

* Corresponding author: (tvnhao@hueuni.edu.vn)

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Received: Dec 10, 2025
Revised: Mar 16, 2026
Accepted: Mar 20, 2026
Published: Apr 20, 2026
Title: Neutron scattering on a neutron rich nucleus: S-matrix poles from the zeros of the Jost function and continuum structure, with application to ²⁴O
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Hào, T. V. N., & Thùy, T. D. (2026). Neutron scattering on a neutron rich nucleus: S-matrix poles from the zeros of the Jost function and continuum structure, with application to ²⁴O . Journal of Science and Education, 66(02), 88-95. Retrieved from https://tckhgd.dhsphue.edu.vn/index.php/jse/article/view/217
Issue
Vol. 66 No. 02 (2026): Journal of Science and Education: Natural Science - Technology
Section
Journal of Science and Education: Natural Science - Technology

Abstract

In this paper, Neutron scattering on a neutron-rich nucleus is investigated within a single-channel framework, with the continuum structure illustrated for ²⁴O. Poles of the scattering matrix are identified from the zeros of the Jost function. The T-matrix and the level density for both bound and continuum states are computed. Dominant resonance positions and peaks of the continuum level density (CLD) are found and shown to track the structures observed on the complex energy and momentum planes. These results are proposed as a benchmark and as a basis on which resonance contributions can be separated and multichannel extensions coupled to Hartree-Fock-Bogoliubov can be developed in future work.
Keywords: Jost function, S-matrix, Resonances, Continuum structure

Tóm tắt

Trong bài báo này chúng tôi nghiên cứu tán xạ neutron-hạt nhân giàu neutron trong mô hình đơn kênh, tập trung vào cấu trúc liên tục ứng dụng cho ²⁴O. Các cực của ma trận tán xạ được xác định từ các nghiệm của hàm Jost. Ma trận T và mật độ mức (level density) cho trạng thái liên kết và liên tục cũng được tính toán. Kết quả thu được vị trí các đỉnh cộng hưởng chủ đạo và các đỉnh CLD (continuum level density) đồng pha cùng đồ thị | (k)|² trên mặt phẳng năng lượng phức và xung lượng phức. Kết quả này cung cấp chuẩn đối chiếu và làm nền cho việc tách riêng đóng góp của cộng hưởng cũng như mở rộng đa kênh với Hartree-Fock-Bogoliubov ở các nghiên cứu tiếp theo.
Từ khóa: Hàm Jost, Ma trận tán xạ, Cộng hưởng, Cấu trúc liên tục

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