If the jurors shall report a sum in favor of the plaintiff or plaintiffs in said action, for the recovery of real property, on the assessment and valuation of the valuable and lasting improvements, and the assessment of damages for waste, and the net annual value of the rents and profits, the court shall render a judgment therefor without pleadings, and issue execution thereon as in other cases; or if no excess be reported in favor of said plaintiff or plaintiffs, then, and in either case, the said plaintiff or plaintiffs shall be thereby barred from having or maintaining any action for mesne profits.
R.L. 1910, § 4936.