Selected problems of baryon spectroscopy: Chiral soliton versus quark models

Kopeliovich, V.B.

doi:10.1134/s1063776109050069

Cited by 3 publications

(7 citation statements)

References 27 publications

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“…equidistantly for all components. For positive strangeness components of exotic multiplets we obtain from our previous results [9,10]…”

Section: Features Of the Chiral Soliton Approachmentioning

confidence: 77%

“…There are no ss pairs in the QM wave functions of the 35-plet components. Table 2, given also previously in [8,10], summarizes these results, in comparison with the rigid rotator model calculations. The upper lines (for each of the SU(3) multiplets) in the table show the contribution of masses of the strange quark m s , antiquark m s and the quark-antiquark pair m ss into the mass of the quantized state in the simple quark model where the quark mass makes additive contribution to the mass of the baryon, according to wave functions given ib Eq.…”

Section: Comparison With Simple Quark Modelsmentioning

confidence: 79%

“…Besides the mentioned strange quark/antiquark masses these differences contain the differences of the rotation energies depending on the moments of inertia. Simple relations can be obtained from this table for the effective s−quark/antiquark masses, since in the differences of masses of states which belong to the same SU(3) multiplet the rotational energies cancel, according to previously given in [8,10] expressions, as well as the strange quarks sea contributions. From the total splitting of antidecuplet we obtain, before the SU(3) configurations mixing…”

Section: Comparison With Simple Quark Modelsmentioning

confidence: 94%

“…Minimization of the static energy (mass) functional M class provides three profiles and allows to calculate moments of inertia, etc. The details can be found in [3,8,9,10].…”

Section: Features Of the Chiral Soliton Approachmentioning

confidence: 99%

“…and is small at large N c , ∼ 1/N c , and for heavy flavors (see [18,8,10] where the hyperfine splitting constants c S , c S are presented). For anti-flavor (positive strangeness) certain changes should be done: ω S → ω S and c S → c S in the last term.…”

Section: The Bound State Modelmentioning

confidence: 99%

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Effective strange quark (antiquark) masses from the chiral soliton model for exotic baryons

Kopeliovich¹

2013

Proceedings of XTH Quark Confinement and the Hadron Spectrum — PoS(Confinement X)

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The effective strange quark and antiquark masses are estimated from the chiral soliton approach (CSA) results for the spectrum of exotic and nonexotic baryons. There are problems when one tries to project results of the CSA on the simple quark models (QM): the parameter in 1/N c expansion is so large for the case of baryon spectrum that extrapolation to the real N c = 3 world is not possible; rigid (as well soft) rotator model and the bound state model coincide in the first two orders in 1/N c , but differ in the next orders. There is correspondence of the CSA and simple QM predictions for pentaquarks (PQ) spectra in negative S sector of the {27} and {35}-plets: the effective mass of strange quark is about 135 − 130 M eV , slightly smaller for {35}. For positive strangeness components the link between CSA and QM requires strong dependence of the effectives mass on particular SU (3) multiplet. The SU (3) configuration mixing is important, it pushes the spectrum towards the simplistic model (with equal masses of the strange quark and antiquark), and explanation of this nice property is lacking still. The success of the CSA in describing many properties of baryons and light nuclei (hypernuclei) means that predictions of pentaquark states should be considered seriously. Existence of PQ by itself is without any doubt, although very narrow PQ may not exist. Wide, even very wide PQ should exist, therefore, searches for PQ remain to be an actual task.Alternative approaches, in particular, the chiral soliton approach (CSA) [1,2,3] has certain advantages. It is based on few principles and ingrediemts incorporated in the model lagrangian. Baryons and baryonic systems are considered on equal footing (the look "from outside"). CSA looks like a theory, but still it is a model, and some elements of phenomenology are present necessarily within the CSA. It has been noted first in [4] and, for arbitrary baryon number, in [5] that so called exotic (i.e. containing additional quarkantiquark pairs) states appear naturally within the CSA. More definite numerical predictions for the mass of exotic baryon with strangeness S = +1 were made somewhat later in [6] and (quite definite!) in [7]. Results obtained within CSA for the spectrum of baryons with different values of strangeness mimic some features of baryons spectrum within quark models due to Gell-Mann -Okubo relations.In the next section basic features and properties of the CSA are described and the Gell-Mann -Okubo relations for the spectrum of baryons within the rigid rotator model (RRM) of skyrmions quantization are presented at arbitrary number of colors N c . Section 3 describes the bound state model (BSM) results for the baryon spectrum, the differene between the RRM and the BSM results is fixed, and the way to remove it is discussed. First terms of the 1/N c expansion for the effective strange quark/antiquark masses are presnted here. Section 4 contains numerical estimates of the effetive strange quark/antiquark masses within simple quark model where the quark/antiquark mass...

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“…equidistantly for all components. For positive strangeness components of exotic multiplets we obtain from our previous results [9,10]…”

Section: Features Of the Chiral Soliton Approachmentioning

confidence: 77%

Section: Comparison With Simple Quark Modelsmentioning

confidence: 79%

Section: Comparison With Simple Quark Modelsmentioning

confidence: 94%

“…Minimization of the static energy (mass) functional M class provides three profiles and allows to calculate moments of inertia, etc. The details can be found in [3,8,9,10].…”

Section: Features Of the Chiral Soliton Approachmentioning

confidence: 99%

Section: The Bound State Modelmentioning

confidence: 99%

See 3 more Smart Citations