Nucleon-nucleon interaction with one-pion exchange and instanton-induced interactions

Singlet $\left({}^{1}S_0\right)$ and triplet $\left({}^{3}S_1\right)$ nucleon-nucleon potentials are obtained in the framework of the SU(2) nonrelativistic quark model using the resonating-group method in the Born-Oppenheimer approximation. The full Hamiltonian used in the investigation includes the kinetic energy, two-body confinement potential, one-gluon-exchange potential (OGEP), one-pion exchange potential (OPEP), and instanton induced interaction (III), which includes the effect of quark exchange between the nucleons. The contribution of the OGEP, III, and OPEP to the nucleon-nucleon adiabatic potential is discussed.

Figure 1

Adiabatic direct and exchange potentials.

Figure 2

Color magnetic exchange potential.

Figure 3

Adiabatic potential for singlet and triplet states (a) without OPEP and (b) with OPEP.