Open problems in microscopic theory of large-amplitude collective motion
K. Matsuyanagi, M. Matsuo, T. Nakatsukasa, N. Hinohara, K. Sato

TL;DR
This paper reviews the ongoing challenges in developing a microscopic theory for large-amplitude collective motion in nuclei, highlighting shape coexistence and mixing phenomena, and discusses open problems in rotating cold nuclei.
Contribution
It identifies key open problems and current challenges in formulating a comprehensive microscopic theory for large-amplitude collective nuclear phenomena.
Findings
Shape coexistence/mixing phenomena exemplify large-amplitude collective motion.
Current theories face fundamental challenges in describing quantum collective phenomena.
Open problems remain in understanding rapidly rotating cold nuclei.
Abstract
Construction of the microscopic theory of large-amplitude collective motion, capable of describing a wide variety of quantum collective phenomena in nuclei, is a long-standing and fundamental subject in the study of nuclear many-body systems. Present status of the challenge toward this goal is discussed taking the shape coexistence/mixing phenomena as typical manifestations of the large-amplitude collective motion at zero temperature. Some open problems in rapidly rotating cold nuclei are also briefly discussed in this connection.
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