Next step:
measure a freshly charged 9V NiMh block battery (actually 9.3V).
There are some short (0.25m) cables to connect the 9V block within the (metal) cookies box to the amplifier.
And the input capacitor (leakage currents) are also expected to increase the noise.
But what I had not expected are the 50 Hz mains frequency + harmonics.
They could be only switched off by fully switching off the complete lab.
(except the battery supplied laptop and USB-supplied oscilloscope).
So the 50 Hz seems to be some magnetic coupling from a analog transformer.
(The wall of the cookies box should be enforced to some feet thickness).
But since switching off the lab supply does not influence signifficantly the RMS value
I decided to keep my lab supplied through the further measurements.
Result: 9V Block NiMh
Lab Supply on: 5.398 uVpp 639.2nV Eff -142.5 dBV@50 Hz
Lab Supply off 5.242 uVpp 630.5nV Eff -173.2 dbV@50 Hz
noise floor with DC input voltage 2 nV/sqrt(Hz)
So obviously sufficient for many measurement tasks.
with best regards
Andreas