On Possible S -Wave Bound States for an N N System Within a Constituent Quark Model

We try to apply a constituent quark model (a variety chiral constituent quark model) and the resonating group approach for the multi-quark problems to compute the effective potential between the N in S -wave (the quarks in the nucleons N and , and the two nucleons relatively as well, are in S wave) so as to see the possibility if there may be a tight bound state of six quarks as indicated by a strong enhancement at threshold of p in J /ψ and B decays. The effective potential which we obtain in terms of the model and approach shows if the experimental enhancement is really caused by a tight S -wave bound state of six quarks, then the quantum number of the bound state is very likely to be I = 1, J PC = 0 −+ .