how to \crossStaff?

[Jinsong Zhao]

Hi there,

I don’t know how to implement the cross staff as you see in the attached 
figure. Another question is how to tweak the staccato position?

What I have tried is following:

Thanks a lot in advance.

Best,
Jinsong

\version "2.19.83"

\layout {
  \context {
    \PianoStaff
    \consists #Span_stem_engraver
  }
}

\relative {
  \new PianoStaff <<
    \new Staff {
      \key g \major     
      \time 3/4
      <<
        {
          <g b e>8 e'16-. \p fis-. 
          g8-. g16-. a-. b8-. 
          <e, g b e>-. 
        }
        \\
        {
          s4. 
          \autoBeamOff 
          \crossStaff { e16 fis } 
          \autoBeamOn g8 s
        }
      >>

    }
    \new Staff {
      \clef bass
      \key g \major
      \time 3/4
      <e,, b'>8 g'16-. b-. e8-. 
      e16-. fis-.
      s8 <e,, e'>8-.
    }
  >>
}