where x = {R ‡ M , R B , q c } represents the coordinates of the reactive molecule, the collective bright mode, and the photon mode. ω ‡ is the barrier frequency of the reactive molecule and C = 2ω 3 c ℏ A 0 µ ′ s . Note the interesting structural difference between Eq. 226 and Eq. 222. In Eq. 226, while both the off-diagonal coupling terms scale by √ N , in Eq. 222 only one off-diagonal term scales by ∼ √ N . The presence of this additional √ N in Eq. 226, which appears due to inter-molecular interactions (solvent-solute interactions) is the origin of the collective "resonant" suppression shown in Fig. . This also indicates that such inter-molecular interactions might be one of the missing pieces for solving the mystery of VSC in the collective coupling regime.