KING FAHD UNIVERSITY OF PETROLEUM & MINERALS
DEPARTMENT OF PHYSICS
PHYS 422 Nuclear and Particle Physics (3-0-3)
Second Semester 2004 (032)
Homework # 2
For a nucleus show that the electric quadrupole moment is
Show that If is concentrated along the z-axis Q ~ + 2
A nuclear charge distribution more realistic than the uniformly charged distribution is the Fermi distribution .
(a) Sketch this distribution and compare with Figure 3.4.
(b) Find the value of a if t = 2.3 fm/
(c) What is the significance of the parameter R?
(d) Evaluate (r2) according to this distribution.
HW2#P3: Krane 3.7
(a) From the known masses of 15O and 15N, compute the difference in binding energy.
(b) Assuming this difference to arise from the difference in Coulomb energy, compute the nuclear radius of 15O and 15N.
HW2#P4: Krane 3.10
For each of the following nuclei use the semiempirical mass formula to compute the total binding energy and the Coulomb energy: (a) 21Ne; (b) 57Fe; (c) 209Bi; (d) 256Fm.
HW2#P5: Krane 3.17
The spin-parity of 9Be and 9B are both . Assuming in both cases that the spin and parity are characteristic only of the odd nucleon, show how it is possible to obtain the observed spin-parity of 10B (3+). What other spin-parity combinations could also appear? (These are observed as excited states of 10B.)