Does anyone know what the botanical name for this tree is, which produces
nuts people in all part of Asia chew?

The tree is Areca catechu. The nuts are chewed together with leaves of betel
pepper, Piper betel.
Iris,
Central NY, Zone 5a, Sunset Zone 40
"If we see light at the end of the tunnel, It's the light of the oncoming
train."
Robert Lowell (1917-1977)