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iTHES workshop on "Exploration of hidden symmetries in atomic nuclei"
4F Seminar Room in Main Res. Bldg. (RIKEN Wako Campus)
4F Seminar Room in Main Res. Bldg.
RIKEN Wako Campus
Symmetry is a key element of discovery of fundamental principles in a variety of physical systems. The ubiquitous quasi-degeneracy between single-particle orbitals (n-1, l+2, j=l+3/2) and (n, l, j=l+1/2) indicates a kind of hidden symmetry in atomic nuclei which was found in 1960s by two groups (Arima, Harvey, and Shimizu; Hecht and Adler). This is the so-called pseudospin symmetry (PSS). Both the splitting of spin doublets and pseudospin doublets play critical roles in the evolution of magic numbers in exotic nuclei discovered by modern spectroscopic studies with RIB facilities. Since the PSS was recognized as a relativistic symmetry in 1990s, it has been suggested that this symmetry is relevant to the QCD sum rule and shares the same kind of origin of the spin symmetry (SS) in hadrons spectra. During the past decade, many special features were investigated and many new concepts were introduced. In addition, the semi-classical theory for shell structure has been extensively developed.
In this mini-workshop, we will exchange ideas on these recent progresses and deepen our understanding of the conservation and breaking of SS and PSS in a quantitative and interdisciplinary way. Possible topics include PSS in deformed nuclei, exact PSS in resonant states, SS in anti-nucleon spectra, PSS within supersymmetric quantum mechanics, shell structures in finite quantum systems in terms of periodic orbits, and so on.
Haozhao Liang (RIKEN),
Jie Meng (Peking U., China),
Takashi Nakatsukasa (RIKEN)
Opening address5m4F Seminar Room in Main Res. Bldg.