Is a minor child entitled to any of the proceeds of the life insurance although his wife was named beneficiary?

No. The life insurance policy is not part of a person's estate. It is a contract to pay money to a designated beneficiary at death.

I assume that the question refers to a minor child and wife of the deceased, not the wife of a minor child. The short answer is "no," based on Louisiana Revised Statute 22:912(A). R.S. 22:912 (A)(2) provides for an exception in certain specific circumstances.