This paper shows that, as a consequence of paulion-type Frenkel excitons in
molecular crystals such as anthracene, with several molecules per unit cel
l, bound biexcitons exist in the absence of dynamic exciton-exciton attract
ion. The coupling of excitons in ideal crystals of this type is brought abo
ut by the same kinematic effect that causes excitons in nonideal crystals t
o be localized close to defects such as vacancies. In the excitation spectr
um, the resonance peak of the resulting biexciton is found inside a band co
rresponding to the sum of the energies of excitons of unlike components of
a Davydov doublet, located between the bands of the total energies of excit
ons of the like components of the doublet. The corresponding dispersion equ
ation is obtained, and the energy and wave function of the biexciton is det
ermined. (C) 1999 American Institute of Physics. [S1063-7834(99)01103-X].