Why when people/textbooks talk about strong interaction, they talk only about bound states of 2 or 3 quarks to form baryons and mesons?
Does the strong interaction allow bound states of more than 3 quarks?
If so, how is the stability of a bound state of more than 3 quarks studied?
Answer
There is no known reason that you can't have bound states like qqˉqˉq or qqqqˉq or higher number excitations, but none have been observed to date.
You do have to make a color-neutral state, of course.
In the mid-2000 some folks thought that they had of pentaquark states (that the qqqqˉq) for a while, but it was eventually concluded that they were wrong.
Added June 2013: Looks like we may have good evidence of four-quark bound states, though the detailed structure is not yet understood, and in the comments Peter Kravchuk points out that pentaquarks have come back while I wasn't paying attention (and the same state, too). Seem some egg may have moved from face to face.
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