Hi Debayan,
Tesseract does have a neural net implementation, called 'cube', and
it is used for Arabic and a few other scripts.
That said, it is now easier to add different classifier systems to
Tesseract; see some of the slides and code from Ray's recent talks:
https://drive.google.com/folderview?id=0B7l10Bj_LprhQnpSRkpGMGV2eE0&usp=sharing
So by all means have a go and see if you can do better than cube!
Also there are no training tools available for cube, which is a
pain, so a neural net implementation that included them would be a
good thing to have.
Nick