The nucleon-nucleon potential in the chromodielectric soliton model: Statics

Abstract

We study the nucleon-nucleon interaction in the framework of the chromodielectric soliton model (CDM). Here, the long-range parts of the nonabelian gluon self-interactions are assumed to give rise to a color-dielectric function which is parameterized in terms of an effective scalar background field. The six-quark system is confined in a deformed mean field through an effective nonlinear interaction between the quarks and the scalar field. The CDM is covariant, respects chiral invariance, leads to absolute color confinement and is free of the spurious long range Van der Waals forces which trouble non-relativistic investigations employing a confining potential. Six-quark molecular-type configurations are generated as a function of deformation and their energies are evaluated in a coupled channel analysis. By using molecular states instead of cluster model wave functions, all important six-quark configurations are properly taken into account. The corresponding Hamiltonian includes the effective interaction between the quarks and the scalar background field and quark-quark interactions generated through one gluon exchange treated in 1 Coulomb gauge. When evaluating the gluonic propagators, the inhomogeneity and deformation of the dielectric medium are taken into account. Results for the adiabatic nucleon-nucleon potential are presented, and the various contributions are discussed. Finally, an outlook is given on how, in the next stage of our investigation, the dynamical effects will be incorporated by employing the generator coordinate method.PACS number(s): 24.85.+p, 21.30.+y, 13.75.Cs, 12.39.Ba Typeset using REVT E X

Important configurations forNNprocesses in a Goldstone boson exchange model

“…We diagonalize the Hamiltonian (22) in the six-quark basis (7)(8)(9)(10)(11)(12)(13)(14)(15) and calculate the NN interaction potential in the Born-Oppenheimer approximation…”

Interactions of multiquark states in the chromodielectric model

“…In the same work, the flux tube structure of a baryon like qqq-bag has been studied. Further, within the model, the interactions between qq-strings [23] and the nucleon-nucleon interaction in vacuum and in nuclear matter [24][25][26][27][28] has been discussed. In another approach the model has been used in a transport theoretical framework to describe the dynamics of quarks bound in nucleons and strings [29,30].…”

Hadronization of a quark-gluon plasma in the chromodielectric model

“…So in this simulation, hadronization looks like a slow evaporation effect, while in principle pre-hadrons could already form in the plasma but re-main undetected by our program. An effective, quantummechanical, repulsive force between white clusters, as computed by Koepf et al [31], could change this picture, if a consistent way of including this in our simulation can be found.…”

“…We attribute this partly to the missing repulive interaction between the white clusters in our simulation [31]. In addition, it is well known from nuclear fragmentation studies that the mean field tends to prevent clusterization [39].…”

“…In the model flavor presented here, there is neither an attractive nor repulsive classical force between cold (fieldfree) hadrons. It is interesting to note in this context that Koepf et al [31] have found a soft and short-ranged N N −repulsive potential in a quantum mechanical investigation within certain approximations of the very same model.…”