@article{10272/13354, year = {2016}, url = {http://hdl.handle.net/10272/13354}, abstract = {A simple and yet powerful approach for modeling the structure of endohedrally confined diatomic molecules is introduced. The theory, based on a u(4)⊕u(3) dynamical algebra, combines u(4), the vibron model dynamical algebra, with a u(3) dynamical algebra that models a spherically symmetric three-dimensional potential. The first algebra encompasses the internal rotovibration degrees of freedom of the molecule, while the second takes into account the confined molecule center-of-mass degrees of freedom. A resulting subalgebra chain is connected to the underlying physics and the model is applied to the prototypical case of H2 caged in a fullerene molecule. The spectrum of the supramolecular complex H2@C60 is described with a few parameters, and predictions for not yet detected levels are made. Our fits suggest that the quantum numbers of a few lines should be reassigned to obtain better agreement with data.}, organization = {We thank Jose M. Arias, Alejandro Frank, Francesco Iachello, and Renato Lemus for useful discussions and valuable suggestions. L.F. acknowledges financial support within the PRAT 2015 project IN: Theory, Univ. of Padova (Project Code CPDA154713). F.P.B. was funded by MINECO Grant No. FIS2014-53448-C2-2-P.}, publisher = {American Physical Society}, title = {Algebraic theory of endohedrally confined diatomic molecules: Application to H2@C60}, doi = {10.1103/PhysRevA.94.032508}, author = {Fortunato, Lorenzo and Pérez Bernal, Francisco}, }