This is a Frame Challenge
Most SciFi writers stopped referring to the deadly light show as "lasers" a long time ago — for some very good reasons
And most of them boil down to economics.1
Any energy weapon fired inside an atmosphere loses energy to the atmosphere. Any energy weapon with enough strength to bring down, say, an Elk would loose a lot of energy to the atmosphere. Worst of all, everything affects the efficiency of the energy beam (humidity and precipitation, temperature, pressure, etc.) just costs more energy. That battery is getting big!
Add to this that all energy weapons require focus. There's no such thing as a columnar beam of energy that won't disperse over distance. Worse, if you don't focus, energy is lost due to the poor focus (there's that battery again). The ability to focus the weapon on your target is no small thing. Not impossible, but a big deal. With enough Clarkean Magic you can claim that the focus is, perhaps, magnetically achieved. But insofar as we understand energy today, your only option is to vary the distance between two lenses — a mechanical action that's more prone to dirt than the action on a projectile weapon.
And when it comes to electricity-based energy weapons, most people forget that electricity travels along the most conductive path to ground. That will almost never be your target (unless they happen to be standing in front of a copper rod pounded a couple of meters into the ground... and even then, hopefully you're not shooting over a ditch full of water or the humidity's high enough to make the path around the body more conductive than the path through the body).
How do you overcome all this? Better optics! Bigger power packs! money, money, money, money, money....
Bullets are cheap
To make a point, the only reason to use an RPG is because the object you're shooting at can't be brought down with a deer rifle. The only reason you use a howitzer is because the item you're shooting at can't be brought down by an RPG or a deer rifle. The only reason to use an ICBM....
You get my point.
If you're trying to be realistic (and judging from your desire for specifics about electron beams, you're trying to be realistic), then no energy weapon is practical. The cost of the high-density power pack, self-cleaning unbreakable optics, dynamic focusing... money, money, money, money, money....
And on top of that, guess what happens when some lucky bullet happens to strike the power pack for your pistol? Yeah. No more leg. Dirty optics? Useless weapon. And the ionization trail an energy bolt would leave behind might as well be an arrow pointing at you with a big sign that reads "this guy did it!"
Star Wars (1977) really popularized the idea of a "blaster"
...and nobody (until much later) had any idea how it worked. It did things no energy weapon should be able to do (like create a bolt that could be seen independent of the target and the gun for a period of time...). It was really bright and amazingly flashy and the idea was preposterously fun! Until later when people who had too much time on their hands who just couldn't leave good imagination alone had to try to explain the weapon as firing a plasma bolt.
But Lucas was a genius. He knew perfectly well that trying to explain the details of technology ruined a good story. And along with many other things, Lucas was in it for the money....
Conclusion
Economics, my friend, is why energy weapons won't be used anytime soon. They cost too much. And even if you overcome that, there's all the other problems.
You don't need to explain your energy weapon. It's not worth explaining it, because once you explain it, there are whole classrooms full of people who can and will explain to you why you can't use it. As I said, no energy weapon is practical.
But that doesn't mean they're not cool.
Go ahead and use an electron-beam pistol! But don't waste your time worrying about how they work or why they won't... because if you dive down that rabbit hole, you'll discover the ugly truth.
1 I'm a huge fan of pointing out how most worldbuilders and story tellers ignore economics. What's the biggest reason why something might not be done? It's too expensive. That's true in real life, too.