URGENT! forgot to bring the student visa

I have a new passport but the student visa was still in the old one. I forgot to bring along the old passport with me.

Would it be possible that I go to heathrow without the visa (I dont need any visa for a trip to the UK), after receiving the old passport by courier, I go for a short trip and then re-enter the UK with both the old and new passport?

Thank you so much in advance!!!

Duplicate.