Characteristic predictions of topological soliton models

Abstract

The characteristic predictions of chiral soliton models - the Skyrme model and its extentions - are discussed. The chiral soliton models prediction of dibaryon states with masses below NN-pion threshold is in qualitative agreement with recent evidence for the existence of narrow dibaryons in reactions of inelastic proton scattering on deuterons and two-photon radiation in proton-proton scattering. The connection between isovector magnetic momentum operator and mixed tensor of inertia of multiskyrmion, as well as between isoscalar magnetic momentum and orbital tensor of inertia valid for skyrmions with any B-numbers allows to estimate the electromagnetic decay widths of some states of interest. Another kind of predictions are multibaryons with nontrivial flavour - strangeness, charm or bottom, which can be found, in particular, in high energy heavy ions collisions. It is shown that the large B multiskyrmions given by rational map ansaetze can be described reasonably well within the domain wall approximation, or as spherical bubble with energy and baryon number density concentrated at its boundary. A simple formula is obtained describing the masses of known RM multiskyrmions with good accuracy.Comment: 18 pages, 1 figure; abstract of paper is available in Cosy News, 9, pp. 5-7, October 200

Finkelstein–Rubinstein constraints for the Skyrme model with pion masses

“…Note that type (16) can only occur if B ≡ 0 mod n for the maximal C n subgroup. All symmetries are either D 2 or are of type (14), so that for B ≡ 2 mod 4 only symmetries with negative Finkelstein-Rubinstein phases have been observed. However, from symmetry arguments alone, it is not possible to exclude that the symmetries act in such a way that all the phases are positive.…”

“…This generates the group D n . For a C 1 2 symmetry it is important whether the C 1 2 isorotation axis is parallel to the C k n isorotation or orthogonal to it, and we will introduce the notation (C (14). Then an additional C 2 symmetry is only possible for 4 − k ≡ k mod 4 which excludes k = 1 and k = 3.…”

“…The classification of rational maps into type (14) and type (16) will become useful in section 5. Now, we assume that the rational map (12) is invariant under C k n .…”

“…Irwin performed a zero mode quantization for B = 4 − 9 [13] using the monopole moduli space as an approximation for the Skyrmion moduli space. The physical predictions of the Skyrme model for various baryon numbers were also discussed in [14]. Recently, the Finkelstein-Rubinstein constraints have been calculated for Skyrmions which are well-approximated by the rational map ansatz [15], and which we shall call rational map Skyrmions.…”

Multi-Skyrmions with vector mesons

“…These quantum energies are traditionally added via a zero mode quantization involving the calculation of inertia tensors from the classical solution [24]. Expressions for the required inertia tensors have been calculated in terms of rational maps and profile functions [25,26] and therefore the results in this paper could be used to calculate these quantum corrections to the presented classical energies.…”