Prefab's Script affecting all the Prefab

Hello everyone, i am confused on the static variable that im using, i just can't answer my problem clearly.

I am doing a Lumberjack game, All of the trees are just prefab with a script, then every time i cut down one tree, all of the tree will fall too.

here's the first method, i think the Global variable that im using affects all the scripts in the tree's prefab. the problem here is when i cut down one tree, all of the tree will fall down.

this is the script in my Player.

static var CutTree = false;

function Update () 
    {
        var hit : RaycastHit;

        if(Physics.Raycast(transform.position, transform.forward, hit, 10))
            {
            if(hit.collider.gameObject.name == "PalmTree")
                {
                print("Tree on Range ");

                if (Input.GetButton("Fire1"))
                    {
                    CutTree = true;
                    }

                }

            }

    }

then this one is for my Prefab Palm Trees

var fallenBOOL = false;
var treelife = 100;

function Update ()
{

if(Tree.CutTree == true)
    {

    print("Treelife" + treelife);

        if(!fallenBOOL)
            {
            treelife = treelife - 1;
            print("Treelife" + treelife);

            if(treelife == 1)
                {
                animation.Play("PalmFall");
                fallenBOOL = true;
                }
            }

        if(fallenBOOL)
            {
            print("Tree is Dead!! U can chop chop it now " + treelife);
            }

    }

}

I think that everytime that the Variable CutTree is set to True, then all trees will Set to true that will cause all of them to fall, is there a way to prevent that?

Don't use static variables unless there will be only one of that variable in the entire game. So, make it a regular non-static variable.