What is the term for a search conducted immediately after a lawful arrest, and done within the arrested person's immediate control?

The term that describes a search conducted immediately after a lawful arrest, specifically one that is done within the arrested person's immediate control, is referred to as an incidental search. This type of search is permissible as it is a direct result of the arrest and aims to ensure officer safety and preserve evidence. The rationale behind this type of search is rooted in the need to eliminate any potential threats to law enforcement officers and to prevent the destruction of evidence that may be within the individual's grasp.

In incidents where a lawful arrest is made, law enforcement officers are allowed to search the area within the individual's reach to find weapons, contraband, or any items that could be of importance to a case. This principle is recognized in several legal standards and court cases that highlight the balance between an individual's rights and the necessity for officer safety during an arrest. The incidental search is limited in scope to areas the arrested person can reach and control at the time of the arrest, which helps to maintain the integrity of the search and respect the individual’s privacy rights to some extent.

Although the other types of searches mentioned have their own legal bases and procedures, they do not specifically relate to the immediate actions taken following a lawful arrest and, thus, are not applicable in this scenario.