Baron is a term that was primarily used in Europe to describe wealthy men and men of honor. With reference to British nobility, it is used to refer to lord or nobleman; a peer who is a member of the lowest rank of British nobility: “Baron’s wish to become Lord’s: promotions always matter.”
A meaning which draws from the above meaning, baron is also used to refer to a person with great power, wealth, and influence in some sphere: “Because of Reliance Industries strong hold on the oil market, Mukesh Ambani is considered the oil baron of India”.
Barren, on the other hands, means ‘producing no offspring, childless’:
It is also used to describe landscapes and refers to lands lacking vegetation, as barren fields; unproductive, unfruitful, depleted: “Barren farms spell doom for farmers. “