executing SHFT J on certain lines of a visual selection

Hi,

I want to apply SHFT-J (join lines) on those lines starting with a number
which are followed by a line not starting with a number.

Example:

This lines:

3003 blurb foo gnats
alice bob
3409 netrino boson lightspeed
3500 icecrean I scream

will become

3003 blurb foo gnats alice bob
3409 netrino boson lightspeed
3500 icecrean I scream

I tried

:/^[0-9/normal J

but this joins all lines even when followed by a line starting with a
number

How can I acchieve this trick?

Thank you very much in advance for any help ! :)

Best regards,
mcc

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