Multibaryons with strangeness, charm and bottom

Abstract

Static properties of multiskyrmions with baryon numbers up to 8 are calculated, including momenta of inertia and sigma-term. The calculations are based on the recently suggested SU(2) rational map ansaetze. Minimization with the help of SU(3) variational minimization program shows that these configurations become local minima in SU(3) configuration space. The B-number dependence of the so called flavour moment of inertia of multiskyrmions playing an important role in the quantization procedure is close to the linear one. The spectra of baryonic systems with strangeness, charm and bottom are considered within a "rigid oscillator" version of the bound state soliton model. The binding energies estimates are made for the states with largest isospin which can appear as negatively charged nuclear fragments, as well as for states with zero isospin - light fragments of "flavoured" nuclear matter. Our results confirm the previously made observation that baryonic systems with charm or bottom quantum numbers have more chance to be stable with respect to strong interactions than strange baryonic systems.Comment: 13 pages, no figures. Submitted to Eur. Phys.

Flavored exotic multibaryons and hypernuclei in topological soliton models

“…The properties of multiskyrmion configurations, necessary for these numerical estimates, have been calculated within the rational map approximation [46] which provides remarkable scaling laws for the excitation energies of heavy antiflavors. This scaling property of heavy flavors (antiflavors) excitation energies, noted previously [43,63], and confirmed in present paper by numerical calculations, is fulfilled with good accuracy. The relative role of the quantum correction of the order ∼ 1/N c (hyperfine splitting) decreases with increasing baryon number like 1/B, therefore, besides 1/N C expansion widely used and discussed in the literature, the 1/B expansion and arguments can be used to justify the chiral soliton approach at large enough values of baryon number.…”

“…The oscillation time can be estimated as τ osc ∼ π/ω F,B ∼ 2π(Θ B /Γ B ) 1/2 /m D , so, it decreases with increasing m D . As was observed in [63,43], the differenceω F,B − ω F,B = N c B/(4Θ F,B ) coincides, to the leading order in N c , with the expression obtained in the collective coordinate approach [61,60], see Appendix. At large m D using (21) for the difference ω F,1 − ω F,B we obtain (N c = 3):…”

“…In the Skyrme model this fact leads to the increase of the flavor excitation frequencies which changes the spectra of flavored (c, b) baryons and puts them in a better agreement with the data [40]. It also leads to some changes of the total binding energies of BS [43]. This is partly due to the large contribution of the Skyrme term to the flavor moment of inertia Θ F .…”

“…The SU(3) effective action defined by (1,3) leads to the collective lagrangian obtained in [61]. To quantize the solitons in their SU(3) configuration space, in the spirit of the bound state approach to the description of strangeness proposed in [45,44] and used in [63,43], we consider the collective coordinate motion of the meson fields incorporated into the matrix U:…”

Heavy-Quark Skyrmions

“…36 The radiative decays of excited Λ Q have been also considered. 37 Finally, the possible existence of multibaryons with heavy flavors 38,39 and other exotic states [40][41][42] have also been investigated.…”