The word for today is…
mesmerism (noun) – 1. A strong or spellbinding appeal; fascination.
2. Hypnotic induction believed to involve animal magnetism.
Source : The Free Dictionary
Etymology : “Hypnotism,” 1802, from French mesmérisme, named for Franz Anton Mesmer (1734-1815), Austrian physician who developed a theory of animal magnetism and a mysterious body fluid which allows one person to hypnotise another.