From 1969, he worked at the Université Paris-Sud in Orsay with Marcel Vénéroni (1929–2015)[3] on the Hartree–Fock calculations for a finite range interaction with saturation in closed-shell nuclei.
[1] He was from 1972 to 1974 a visiting scientist at the Massachusetts Institute of Technology (MIT) with John W. Negele and for the academic year 1976–1977 at the University of California at Berkeley.
"[1] He worked extensively with Hubert Flocard on mean field methods and with Nicole Vinh Mau on random phase approximation at finite temperature.
[1] Vautherin collaborated with his former doctoral student Cécile Martin,[10] and with Arthur Kerman and other colleagues, on solutions of Yang-Mills theory using variational methods.
In 1999 he became the chair of the board of directors of the European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) in Trento, Italy.