Sounds like your baby may be having night terrors. These are sleep disruptions that are likely reaction of fear when the baby is transiting from one sleep phase to another.
The baby’s sleep suddenly gets disrupted and he/she may suddenly start crying or screaming in distress. The baby is not aware that he/she is crying, and is not likely to remember this the next morning.
Fortunately, night terror is not found to have any harmful effects on babies and will outgrow them. To help, simply make sure that your baby is safe, comfort him/she (if needed) and your baby will eventually quiet down.
I found this article useful in understanding night terror, you can have a read:
http://kidshealth.org/en/parents/terrors.html
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