Thank you bowmah and Gloria.
So, to sum up, suggestions are that he was probably told to avoid nuts because a) radiotherapy may induce changes in the nature of fatty acids found in these nuts and these altered fatty acids have been associated in some studies with increased risk of coronary heart disease and

fatty acids normally found in these nuts may increase the risk of prostatic cancer (in this case, the recommendation is just a broad diet advice, not specifically related to his radiotherapy treatment).
Thanks again for your help.
achi