This gorgeous little boy - named Charlie by nurses - was left in Newham University Hospital in East London by his mum last week.
Police have released his picture in the hope his mummy will come forward.
He was born after his mum was brought to the hospital by ambulance after going into labour outside a shop in East Ham. She gave what is believed to be a false name - Katalena Sctarra - and disappeared around midnight after the birth, saying she was going out for a cigarette.
The mum is thought to be from Birmingham and around 25. She spoke broken English with an eastern European accent.
Detective Sergeant Gerard Healy from the Newham Missing Persons Unit described the situation as 'heartbreaking' and he hoped to reunite the woman with her little boy, saying "This is a heartbreaking case and we hope that Charlie's mother comes forward to be reunited with her baby boy."
Mr Healy added that whilst little Charlie was receiving the best possible care, the hospital were concerned that his mum might need medical attention and support, saying he 'urged'
anyone who has seen her or been in contact with her to contact police.