1. Rotational Spectroscopy
Further Applications
Rotational Spectroscopy
Rotational Spectroscopy
W. Udo Schröder, 2005

2. Rotational Spectroscopy
Rigid-Body Rotations
Axially symmetric nucleus q
Rotational Spectroscopy
W. Udo Schröder, 2005

3. Rotational Wave FunctionsM
I3 due to intrinsic s.p. spins = independent d.o.f.
Rotational Spectroscopy
W. Udo Schröder, 2005

4. Example Wave Functions
Rotational Spectroscopy
W. Udo Schröder, 2005

5. R Invariance of Axially Symmetric Nuclei3 2
Construct symmetric total wave function:
Rotational Spectroscopy
“signature” s=(-1)I+K
W. Udo Schröder, 2005

6. Example: Rot Spectrum 238U
Even-I sequence I=0+, 2+, 4+,… E2
Rotational Spectroscopy
Effect of rotation on nucleonic motion
even for Q0 = const.
E. Grosse et al., Phys. Scripta 24, 71 (1977)
W. Udo Schröder, 2005

7. Rotational Spectroscopy
K Bands in 168Er
Bohr & Mottelson, Nucl. Struct. II
Different intrinsic spins (K) and parities (r)
Mainly E2 transitions within bands
K forbiddenness
Rotational Spectroscopy
W. Udo Schröder, 2005

8. Rotational Spectroscopy
“Back Bending”
Bohr & Mottelson, J. Phys. Soc. Japan 44, Suppl. 157 (1977)
excited state band
ground state band
Rotational Spectroscopy
At high spins  break up of J=0 pair, reduction of moment of inertia Q.
W. Udo Schröder, 2005

9. Rotational Spectroscopy
Super Deformation 152Dy
Twin et al., 1986, ARNS 38 (1988)
108Pd(48Ca, xn)156-xnDy*
SD band: 19 transitions I≤ 60 DE ≈ 47 keV large Q0 = 19 eb
BE2 = 2660 s.p.(W.u.) highly collective
Rotational Spectroscopy
W. Udo Schröder, 2005
Wood et al., Phys. Rep. 215, 101 (1992)

10. Deformation Energy Surfaces
Tri-axial nuclear shapes:
semi axes
Rotational Spectroscopy
W. Udo Schröder, 2005

11. Angular Distribution of Symmetry Axis
Rotational Spectroscopy
W. Udo Schröder, 2005