Soliton matter as a model of dense nuclear matter

Interaction energy in infinite nuclear matter in the hybrid soliton model

“…[10] for the hybrid soliton model, consisting of a kinetic energy term in the classical ( u, i) meson fields £1 = -1 Tr {uta~-'u uta~-'u} = ~ [8~-'u8~-'u + 8~-'i8~-'i] (2.1) and the Lagrangian of free quarks, Yukawa coupled to the u, i mesons: £2 = .q, [i,~-'8~-'-g(u + hsr · i)] w (2.2) 1ic is set equal to 1. The matrix U depends on the meson degrees of freedom u = !~ (u(r)+ir·i(r)) (2.3)…”

“…Quarks were explicitly introduced and coupled to the meson fields without being confined by an artificial bag. In previous papers [10], [11] this model was used to describe nuclear matter by placing the solitons on a cubic lattice. A transition mechanism from a phase with the quarks 'confined' (or deeply bound) to one where quarks could move freely through the lattice was obtained [10].…”

A chiral quark-soliton model with broken scale invariance for nuclear matter

“…Similar approaches to a finite density system have been investigated in the past [13][14][15][16][17][18][19]. A problem of those works is that the solitonic solutions are unstable and disappear already at moderate densities when e.g.…”

“…This approach is very common and it has already been widely applied to both non-linear [14,15,19] and linear-σ models [18]. Specifically, the Wigner-Seitz approximation consists of replacing the cubic lattice by a spherical symmetric one where each soliton sits on a spherical cell of radius R with specific boundary conditions imposed on fields at the surface of the sphere.…”

Nucleon-nucleon potential in finite nuclei

“…There are two known paths to nuclear matter aspects of the Skyrme model. The first one is based on studies of the crystalline ground state of the skyrmionic matter [8,9,10,11,12,13,14,15,16], while the second one is related to studies of Skyrme model on the hypersphere [17,18,19,20,21,22,23]. Especially in the first approach, the tensor part of the potential is found to be responsible for the crystalline structure of the ground state.…”