Can you safely synchronize on a Java method parameter?

Take this code:

public class MyClass {
    private final Object _lock = new Object();
    private final MyMutableClass _mutableObject = new MyMutableClass()

    public void myMethod() {
        synchronized(_lock) { // we are synchronizing on instance variable _lock
            // do something with mutableVar 
            //(i.e. call a "set" method on _mutableObject)
        }
    }
}

now, imagine delegating the code inside myMethod() to some helper class where you pass the lock

public class HelperClass {
    public helperMethod(Object lockVar, MyMutableClass mutableVar) {
        synchronized(lockVar) { // we are now synchronizing on a method param, 
                                // each thread has own copy
            // do something with mutableVar 
            // (i.e. call a "set" method on mutableVar)
        }
    }
}

can "myMethod" be re-written to use the HelperClass by passing its lock var, so that everything is still thread safe? i.e.,

public void myMethod() {
    _helperObject.helperMethod(_lock, _mutableObject);
}

I am not sure about this, because Java will pass the lockVar by value, and every thread will get a separate copy of lockVar (even though each copy points to the same object on the heap). I guess the question comes down to how 'synchronized' keyword works -- does it lock on the variable, or the value on the heap that the variable references?