In common discussions, the cosmological constant is identified with vacuum
energy. The idea here is to identify it with the Lorentz-invariant scalar a
risen by the contraction of the stress-energy tenser of ordinary matter whi
ch represents a form of the quintessence. We describe a quintessence cosmol
ogical scenario within the Friedmann universe and confront it with data. (C
) 2001 Elsevier Science B.V. All rights reserved.