Short range behaviour of the N-N potential within the quark Model

Abstract

The short range behaviour of the nucleon-nucleon (NN) potential is studied in terms of the quark model, where nucleons are assumed to consist of three colored quarks. By considering the overlap kernel of the wave function of the resonating group method (RGM), it is found that the Pauli effect does not produce a ~hard core'. Instead, the gluon exchange interaction with the confinement requirement suggests a rather soft one. The A-A isobar interaction is also considered. In the (S, T)=(3, 3), (3, 2) and (2, 3) channels we find a 'hard core', while calculations in some other cases indicate even strong short range attractions.

Extended Brueckner–Hartree–Fock theory with pionic correlation in finite nuclei

“…This strong short range repulsion is expressed phenomenologically in terms of a hard core or an omega meson exchange. The origin of the repulsion may be due to the internal structure of the nucleon [25,26]. It is important to introduce a short range correlation to treat the short range repulsion in order to describe quantitatively nuclear many body system [27].…”

“…(17) to solve for amplitudes C al and C 0 . We then insert these amplitudes in the EBHF equation (25) and the wave functions, we solve for new single particle wave functions w b (x) and their single particle energies e b . These new single particle wave functions provide new 2p-2h wave functions and we can iterate the procedure until the whole solutions become consistent.…”

Femtosecond-Soliton Switching in a Three-Core Coupler

“…We solve the RGM equation of the Hamiltonian to study the structure of dibaryon [9][10][11] . In RGM calculation, the trial wave function is taken to be…”

Neutron stars within a relativistic central variational method

“…The NN potentials, based on chiral low-momentum expansions, are soft cores at short distances due to pion exchange; whereas, in the meson-exchange potential, such as the Bonn potential, the ω and ρ meson exchanges are essential in the core region of the NN interaction, which generate very strong repulsive core. There are also other high-momentum effects at short distance, such as the strong tensor force, besides strong repulsion [20] which is related with the nucleon inner structure [21,22] in the realistic NN interaction. Since 1950, many microscopic many-body methods have been proposed to take such high momentum contributions into account.…”