Bass reads bass clef notation, but most players don’t read staff music.

Most will follow the same chord charts as a guitar player, but ignore any color tones (7th 9th etc). So you’d write G C D. Some will also read number charts (I IV V), but you’d be safer giving them G C D.
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What you’re trying to do is be the arranger for your song. Perfectly fine, since it’s your song…but with original music, sometimes it’s best to allow the bass player to come up with their own part.

If you have something specific in mind, you can tab it out by drawing 4 lines on paper, which indicate the 4 bass strings, and illustrating exactly what the bass should be playing.

I play in an all original rock band, and I never tell the bass player what to do…mostly because I respect his musicianship.

I have made suggestions….such as…”What do you think about dropping out in this area, and having it just be guitar and drums, until the singing starts again…and then the bass comes back in?”

If you listen to the Beatles, Paul played some amazing bass runs. If you have something specific…you’ll have to tab it out.

Best of luck
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Have the bassplayer arpeggiate the chords instead just playing the root, also adding rests and stuff in between notes can make it sound more interesting. Check out the bassline in Santeria by Sublime
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I would say to stick with the root notes and maybe the fifth notes or octaves to keep it funky….but ignore any color tones (7th 9th etc). So you’d write G C D.

Most players read tablature or you could just leave it as G,C,D

Most bass players are pretty good at hearing the song and picking up on the correct groove. Just make sure they know they key of the song and let things just fall in place.
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I’ve played bass for several years and I read exact notes, which is the quickest way for the songwriter or arranger to get EXACTLY what he wants the bass player to play and how to play it down in music.

But, many times, i’ve got to just read off of chords, because the actual bass line is not written out.
Another version of this would be to write out the chords being used ABOVE the staff, (or use the number system if you prefer), and then, when needed, write out the ‘feel’ you want the bass player to follow, and after just, just put “etc.” or “sim.” down, meaning of course that they follow the ‘feel’ that you noted, to the following chords.
When the feel changes, just write in another feel, like for instance, if you want the bass player to hold a long note or take a rest.

If you’re a songwriter, you may want to get a version of ‘BAND-IN-A-BOX;’; it is awesome software for doing demos by yourself.
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