I am very sure that this is 100% accurate, and sounds just like the original song. 
no need to use capo.

INtro:  Gm Bb F C (repeat two times)

Gm
Untouchable like
  Bb             F        C
A distant diamond sky 
Gm
I'm reaching out
     Bb
And I just
                F         C
Can't tell you why
                Gm        Bb
I'm caught up in you
                F         C
I'm caught up in you
Gm                Bb
Untouchable burning brighter than the sun
F
And when you're close
           C (let it ring)
I feel like coming undone
          F
In the middle of the night
When I'm in this dream
               C
It's like A million little stars
Spelling out your name
          Gm
You gotta come on, come on
                          Bb                C (let it ring)
Say that we'll be together Come on, come on
Little taste of heaven

Gm Bb F C

Gm
It's half full
       Bb
And I won't wait here
        F             C
All day
Gm
I know you're saying
          Bb
That you'd be here
      F             C
Anyway
          Gm                  Bb
But you're Untouchable burning Brighter than the sun
F
Now that you're close
            C
I feel like coming undone
         F
In the middle of the night
When I'm in this dream
              C
It's like A million little stars
Spelling out your name
         Gm
You gotta, come on, come on
                         Bb                C
Say that we'll be together Come on, come on Oh
         F
In the middle of the night
Wakin from this dream
          C
I wanna feel you
By my side
Standing next to me
          Gm
You gotta, come on, come on
                          Bb                  C (let it ring)
Say that we'll be together Come on, come on
Little taste of heaven

Gm, Bb, F, C, (repeat two times)

                  Gm      Bb         F      C
I'm caught Up in you
            Gm                Bb
But you're Untouchable burning Brighter than the sun
F
And when you're close
              C
I feel like coming undone

(you can do some plucking here, sounds better)

         F
In the middle of the night
When I'm in this dream
         C
It's like A million little stars
Spelling out your name
          Gm
You gotta come on, come on
Say that we'll be together
Bb                  C
Come on, come on
Oh, ohwa, oh

(you can stop plucking here and do the strumming)
         F
In the middle of the night
When I'm in this dream
          C
It's like A million little stars
Spelling out your name
           Gm
You gotta, come on, come on
Say that we'll be together
Bb                C (let it ring)
Come on, come on
Little taste of heaven

Gm, Bb, F C (repeat two times)

End with F


Well, that's all...
comments and corrections are very much welcome! :)