In this paper, the bond potential is FENE+LJ. Beyond that, I can also find paper using FENE+LJ potentials in https://aip.scitation.org/doi/10.1063/1.458541. What's more, in LAMMPS, it also uses the FENE+LJ type fene bond.
I will use the FENE+LJ bond with bonded beads and the LJ potential with nonbonded beads.