Retrieving a file in git that was deleted and committed

[biswaranjan panda <biswaranjan.nitrkl@xxxxxxxxx>]

I have the following scenario:

On a branch A, I deleted a file foo.txt and committed the change. Then
I did a bunch of other changes.
Now I want to undelete foo.txt.

One way is to checkout a separate branch B where the file is present.
Then checkout A. Then do
git checkout B -- path_to_file

While this does gets the file back, the file shows up as a new file to
be committed. Once I commit it, git blame doesn't show the old history
for the file.

I would appreciate if anyone knows how to preserve git blame history.