As a result of Supreme Court decisions, the death penalty, unlike any other punishment prescribed by law, requires special procedures that ensure its lawful application. What has Professor Margaret Jane Radin called those special procedures:

"super due process

Explanation:

Based on the scenario being described within the question it can be said that Professor Margaret Jane Radin called this "super due process". This term refers to decision established by the Supreme Court stating that only the worst criminals in the world may be executed in a capital case for a certain crime or crimes that they have committed.

super due process

Explanation:

The super due process is process established by the supreme court which ensures that only the worst cases of murders been committed by criminals will be given the capital punishment which is the death penalty.

like with every amendment in the constitution by the legislature there are due process clauses attached in order to make sure that the government doesn't deny citizens of their fundamental human rights like the right to life and property without proper judgement or interpretation of the law by the Judiciary .

The super due process is what Professor Margaret Jane Radin called the special procedure for death penalty judgement

you so !