  It is examined whether the relationship $ J \propto A/r^{\alpha}$, and the
subsequent coauthor core notion (Ausloos 2013), between the number ($J$) of
joint publications (JP) by a "main scientist" (LI) with her/his coauthors (CAs)
can be extended to a team-like system. This is done by considering that each
coauthor can be so strongly tied to the LI that they are forming {\it binary
scientific star} (BSS) systems with respect to their other collaborators.
Moreover, publications in peer review journals and in "proceedings", both often
thought to be of "different quality", are separetely distinguished. The role of
a time interval for measuring $J$ and $\alpha$ is also examined. New indirect
measures are also introduced.
  For making the point, two LI cases with numerous CAs are studied. It is found
that only a few BSS need to be usefully examined. The exponent $\alpha$ turns
out to be "second scientist" weakly dependent, but still "size" and
"publication type" dependent, according to the number of CAs or JP. The CA core
value is found to be (CA or JP) size and publication type dependent, but
remains in an understandable range. Somewhat unexpectedly, no special
qualitative difference on the binary scientific star CA core value is found
between publications in peer review journals and in proceedings.
  In conclusion, some remark is made on partner cooperation in BSS teams. It is
suggested that such measures can serve as criteria for distinguishing the role
of scientists in a team.
