KING FAHD UNIVERSITY OF PETROLEUM & MINERALS
DEPARTMENT OF PHYSICS
PHYS 422 Nuclear and Particle Physics (3-0-3)
Second Semester 2004 (032)
Homework # 4
HW#4P1: Krane 5.1
Give the expected shell-model spin and parity assignments for the ground states of (a) 7Li; (b) 11B; (c) 15C; (d) 17F; (e) 31P; (f) 141Pr.
HW#4P2: Krane 5.3
The level scheme of Figure 5.6 would lead us to expect for the ground state of, while the observed value is . A similar case occurs in 207Pb (N=125) and 199Hg (N = 119), where is expected but is observed. Given that the pairing force increases strongly with , give the shell-model configurations for these nuclei that are consistent with the observerd spin-parity assignments.
HW#4P3: Krane 5.10
By tabulating the possible m states of three quadrupole ( = 2) phonons, and their symmetrized combinations, show that the permitted resultant states are 0+, 2+,3+,4+, and 6+.
HW#4P4: Krane 5.13
The levels of 174Hf show two similar rotational bands, with energies given as follows (in MeV):
E(0+) E(2+) E(4+) E(6+) E(8+) E(10+) E(12+)
Band 1 0 0.091 0.297 0.608 1.010 1.486 2.021
Band 2 0.827 0.900 1.063 1.307 1.630 2.026 2.489
Compare the moments of inertia of these two bands, and comment on any difference.