Hi Krishanu, I’m Adv. Niharika and this is my take on your query.
Self-acquired property is one that is bought from a person with his own hard money. There is no restriction in the Hindu Succession Act as to whom a property can be willed to.
Self-acquired property can be willed away to the testator’s heirs or to just one heir excluding all others or even to a stranger/non-heir since the testator has absolute ownership over such property.
The father has the right to gift the property, or by way of will transfer the property to anyone irrespective of his own son. If a will has been executed, the other offsprings have no right to object to the same. Will or gift of the property can be to anyone, provided not done under undue influence, fraud, misrepresentation or coercion.
Thus the deed cannot be cancelled until and unless either of the above mentioned ground is proved.
I hope you find the information useful and for further query you can contact me at firstname.lastname@example.org