You can use 1
lithium battery and 2
spacers.
3 lithium batteries will fry your headlamp.
oh crap. How can I use lithium rechargeable for my headlamp? It uses 3 AA NiMH at the moment.
Does this mean that lithium rechargeable batteries will fry my head lamp if I use it?

Marduke is almost right. You can use 3xNiMH or 1x14500.
NiMH
3x1.2v x 2700mAh = 9.72 watt hours
Li-Ion (AW's protected 14500)
1x3.7v x 750mAh = 2.775 watt hours
What's wrong with the NiMH? I think you're under the impression that they have vastly inferior energy, but in reality they actually have less than 14500 Li-Ion
NiMH
1.2v x 2700mAh = 3.24 watt hours
Li-Ion (AW's protected 14500)
3.7v x 750mAh = 2.775 watt hours
The main advantage of 14500 over AA is mainly in 1xAA torches. Modern LEDs require 3.4 to 3.6V to light up.
A 14500 has 3.6V and can direct drive the LED at 1000mA to give 200 lumens.
An AA is 1.2V and needs an expensive amplifier to boost the voltage to 3.6V. Also with few exceptions these amplifiers top out at 350mA giving only 90 lumens max.
With 3xAA your headlamp already has 3.6V. So it can direct drive the LED just like a lithium, no amplifier required.
Just swapping a lithium for your AA cells would not increase the brightness. To do that you have to:
1) Upgrade the LED,
2) Upgrade the heatsink to get rid of the extra heat generated,
3) Tweak the dropping resistor to give the right amount of current.
As headlamps are usually not easily mod-able I think you should just let the headlamp be.