The baby body, born on November 30 at Max Hospital, died at a nursing home in Pitampura today.
The case involves a detailed investigation of the medical aspects, said a senior police officer.
It entails a long process in which the investigators will have to write to the Delhi government's health department, the Medical Council of India and the Delhi Medical Council to seek their opinions on certain aspects related to the case, he added.
A panel formed by the Delhi government to look into the case yesterday found Max Hospital guilty of not following prescribed medical norms in dealing with newborn infants.
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The case relates to the birth of twins (a boy and a girl) on November 30. The parents alleged the babies were declared dead by Max Hospital in Shalimar Bagh but they later discovered that the boy was alive.
The parents said they were told by the hospital that both the babies were stillborn. The infants were handed over to them in a polythene bag, they said.
On December 2, Delhi Health Minister Satyender Jain said the hospital's licence could be cancelled if a probe found it guilty of medical negligence.
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