Abstract
A simple model of quintessential inflation with the modified exponential potential e{sup -{alpha}}{sup {phi}}[A+({phi}-{phi}{sub 0}){sup 2}] is analyzed in the braneworld context. Considering reheating via instant preheating, it is shown that the evolution of the scalar field {phi} from inflation to the present epoch is consistent with the observational constraints in a wide region of the parameter space. The model exhibits transient acceleration at late times for 0.96 < or approx. A{alpha}{sup 2} < or approx. 1.26 and 271 < or approx. {phi}{sub 0}{alpha} < or approx. 273, while permanent acceleration is obtained for 2.3x10{sup -8} < or approx. A{alpha}{sup 2} < or approx. 0.98 and 255 < or approx. {phi}{sub 0}{alpha} < or approx. 273. The steep parameter {alpha} is constrained to be in the range 5.3 < or approx. {alpha} < or approx. 10.8.
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