1. Stability of g- and s-bands in 182Os in three-dimensional cranked HFB
Y.Hashimoto (Univ. of Tsukuba)
and
T.Horibata (Aomori University)
1. Introduction
2. Cranked HFB equation
3. 3-dimensional cranking
4. GCM
5. Summary

2. 1. Introduction Nucleus: finite quantum mechanical many-body system
Nuclear rotational motion
 cranking model
* Principal axis rotation (PAR)
* Wobbling
* Non-principal axis rotation (tilted axis rotation; TAR)
Cf. S.W.Odegard et al., Phys. Rev. Lett.86, 5866(2001).
D.R.Jensen et al., Phys. Rev. Lett.89, (2002).

3. In this talk ...
How do the g-band & s-band states
react to the tilting of rotation axis?
“stability”

4. 2. Cranked HFB equation
A.K.Kerman and N.Onishi, Nucl.Phys.A361(1981),179

5. 1-dimensional cranking

6. pairing energy

7. γ-deformation
(degrees)

8. 3. 3-dimensional cranking
constraints: x y z ψ

9. (MeV)
energy vs tilt angle 18

10. energy vs tilt angle
(MeV)
TAR?

11. j // μ　？

12. Pair energy
proton
neutron

14. ４. GCM Generator coordinate: tilt angle ψ GCM equation: J=18
Cf. T.Horibata et al., Nucl.Phys.A646(1999), 277.
J=18

16. GCM energy
norm kernel eigen values 36

17. GCM amplitude

18. ５. Summary
s-band state is unstable
with respect to tilting of rotation axis
<--> possibility of TAR
ii) GCM calculation:
* fluctuation around g-band state
* fluctuation around TAR state