Answer to Question #150302 in Atomic and Nuclear Physics for surya

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 $\cfrac{5}{2}^+$ .