- #1

Flucky

- 95

- 1

## Homework Statement

Use the shell model to determine the parity and spin assignments for all the stable isotopes of calcium.

## Homework Equations

n/a

## The Attempt at a Solution

The stable isotopes seem to be

^{40}Ca,

^{42}Ca,

^{43}Ca,

^{44}Ca,

^{46}Ca, and

^{48}Ca

I believe all of those isotopes except

^{43}Ca are even-even which means that they have spin=0 and parity=even, however I'm a bit stuck on how to work out the spin and parity of

^{43}Ca.

There are 23 neutrons, so 20 of those fill up the shells to the magic number (20) and we have 3 left over.

How do I work out the orbital angular momentum

*l*and

*j*-value of those?

With these values I could work out the spin of the unpaired nucleon (which would be the

*j*-value) and its parity (-1)

^{l}