As you have rightly assumed, you are feeling your carotid artery
on the rt side. From you description, it appears to be normal. Are you thin built? In thin built individuals arterial pulsations can be felt easily or it can even be seen. The lump you are feeling may be a lymph
node which is lying over the location of your carotid artery thus your attention is drawn to the pulsations.Your CT scan
does show lymph nodes on both sides but not suggestive of any pathology and your doctor also feels so. However, if you are still concerned you can go in for FNAC of the lymph node and doppler study of the carotid artery for which go back to your doctor and he will advise you accordingly.