Makito Oi Senshu University, Tokyo. Study of “rotation” Apparent retrograde motion of Saturn in...
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Transcript of Makito Oi Senshu University, Tokyo. Study of “rotation” Apparent retrograde motion of Saturn in...
Study of nuclear excited states through quantised angular
momentum
Makito Oi
Senshu University, Tokyo
Study of “rotation”
Apparent retrograde motionof Saturn in 2011 (Apr-July)… observation by MO
Eudoxus
Hipparcus
3D
1D
Nuclear rotation
• Static rotation• Uniform rotation• One-dimensional rotation
“Yrast” states (1D)
Rcoll
Collectivity: many-body Physics
• Microscopic and Macroscopic viewpoints
• Degrees of freedom: collectivity
Wobbling motion as a 3D rotation
• Triaxial rotor• High spin (J >> 1)• Quasi-1D rotation (Jx ~ J)
Bohr and Mottelson (1975)
Nuclear chiral rotation
• Valence neutron (hole)• Valence proton (particle)• Triaxial rotor (collective)
Three Spin Vectors
Rcoll
Jparticle
Jhole
Jtotal
PRL84 (2000), Dimitrov, Frauendorf, Donau
Another Pfaffian formulafor odd-A systems
Chirality needs a particle and a hole
M. Oi and Mizusaki, PLB 707 (2012)
A Pfaffian formulaof Oi and Mizusaki
Several unfamiliar bipartite matrices…
M. Oi and Mizusaki, PLB 707 (2012)
Meaning of X-1
Antisymmetrised density matrix (with a bipartite form)
Mizusaki and M.OI, arXiv:1204.6531(2012)
“Lewis Carroll” formulafor Pfaffian
Avez and Bender, PRC 85 (2012)
Mizusaki and M.OI, arXiv:1204.6531(2012)
Summary
• Nuclear excited states through angular momentum
• Structural transitions to exotic shape and 3D rotation
• Quantization of classical / semi-classical 3D models
• New formulae were discovered
• Ready for numerical analysis!