Question

Write down the ground state configuration for protons and neutrons and determine the spin and parity of 17O8(oxygen) nucleus using the shell model.

Answer 1

Ground state configuration of proton and neutron in$17_{O_{8}}$ nucleus.

Only one neutron is unpaired corresponding to 1d_5/2 shell.

L value for this neutron is 2 and J value is 5/2.

parity=(-1)^L=(-1)²=+1

hence spin parity for ground state of above nucleus is $\cfrac{5}{2}^+$ .