Flavored exotic multibaryons and hypernuclei in topological soliton models

Kopeliovich, V.B.; Shunderuk, A. M.

doi:10.1134/1.1947317

Cited by 8 publications

(32 citation statements)

References 71 publications

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“…The moments of inertia of skyrmion, the isotopical Θ I ∼ (5 − 6)Gev −1 , the flavor Θ F ∼ (2 − 3)Gev −1 play an important role as well, see e.g. [7,8], and references here. All moments of inertia Θ ∼ N c , where N c is the number of colors of underlying QCD [2].…”

Section: Features Of the Chiral Soliton Approach And Some Static Propmentioning

confidence: 99%

“…For strangeness the effect takes place as well, but not so important -small enough in most of cases. In our estimates we used simple and transparent variant of the quantization procedure, originally proposed in [6] and modified later in [8]. It is quite obvious that the effect is important in any variant of the quantization scheme.…”

Section: Conclusion and Prospectsmentioning

confidence: 99%

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Rescaling of quantized skyrmions: From nucleon to heavy flavored baryons

Kopeliovich

Potashnikova

2017

Phys. Rev. D

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The role of rescaling (expansion or squeezing) of quantized skyrmions is studied for the spectrum of baryons beginning with nucleon and ∆(1232), and with flavors strangeness, charm or beauty. The expansion of skyrmions due to the centrifugal forces has influence on the masses of baryons without flavor (N and especially ∆). The rescaling of skyrmions has smaller influence on the spectrum of strange baryons, it is more important for the case of charm, and is crucial for baryons with beauty quantum number, where strong squeezing takes place. Two competing tendencies are clearly observed: expansion of skyrmions when isospin (or spin) increases, and squeezing with increasing mass of the flavor. For the case of beauty baryon Λ b satisfactory agreement with data can be reached for the value r b = F B /F π ≃ 2.6, for the case of Σ b there should be r b ∼ 2, so for the beauty flavor the method seems to be not quite satisfactory because of certain intrinsic discrepances. Some pentaquark states with hidden strangeness, charm or beauty are considered as well.

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Section: Features Of the Chiral Soliton Approach And Some Static Propmentioning

confidence: 99%

Section: Conclusion and Prospectsmentioning

confidence: 99%

Rescaling of quantized skyrmions: From nucleon to heavy flavored baryons

Kopeliovich

Potashnikova

2017

Phys. Rev. D

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“…Within the RR variant of the CSA the difference ω + − ω − is reproduced by difference of rotational energies of different SU(3) multiplets, due to difference of Casimir operators of exotic and nonexotic multiplets, and can be ascribed to the contribution of the effective mass of additional quark-antiquark pair, m qq ∼ 1/Θ K (see, e.g. Appendix of [34] and [8]). Within the bound state model and its RO variant calculations of spectra of exotic multiplets (not only positive strangeness components) are absent still, as mentioned above.…”

Section: Quark Wave Functions Of Pentaquarksmentioning

confidence: 99%

“…The mass splittings within multiplets of baryons are defined by the following relation [31], see also [32,33,26,34] where details of evaluation and expresiions for the moments of inertia can be found: Table 1. Strangeness contents of the "octet", "decuplet" and "antidecuplet" of baryons at arbitrary N = N c , for unmixed states.…”

Section: Strangeness Contents Of Baryons For Arbitrary Number Of Colorsmentioning

confidence: 99%

Baryon spectrum in largeNcchiral soliton and in quark models

Kopeliovich

Shunderuk

2006

Phys. Rev. D

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In memory of Karen Avetovich Ter-Martirosyan, the Teacher. IntroductionDescription of hadrons structure in terms of their quark constituents is generally accepted, but the alternative description within e.g. topological soliton (Skyrme) model [1,2] and its modifications also is useful and has certain advantages in comparison with traditional approaches. The chiral (topological) soliton approach is based on general principles and few ingredients incorporated in the effective chiral lagrangian, this is the reason for apparent simplifications in comparison, for example, with attempts to solve relativistic many-body problem. To simplify the latter, some additional objects like diquarks and triquarks have been phenomenologically introduced and discussed especially intensively after recent observations of the so called pentaquarks [3,4] 1 . Concept of diquarks "as an organizing principle for hadron spectroscopy" is considered in details in [12], see also [13]. The concepts of diquarks, triquarks or other correlated quark clusters are certainly of useful heuristic value, although their properties have not been deduced rigorously from basic QCD lagrangian. It should be noted that diquarks present in different physical states, baryons or mesons, can have different properties like the effective mass and size, even for same quantum numbers. 2In the present paper we perform explicit calculation of the strangeness contents of exotic and nonexotic baryon states at arbitrary number of colors N c , and discuss connection of the chiral soliton approach (CSA) and simple quark (pentaquark) model for exotic baryon states, 1 A contradictive present situation with experimental observation of possible pentaquark states is discussed, e.g. in [5,6]. Consideration of baryon states in the present paper is relevant independently on particular values of masses, widths and other properties of exotic baryon states measured experimentally. A detailed discussion of theoretical predictions of these states can be found in [7,8,9,10,11] 2 Some analogy with nuclei can be noted: two-, three-, etc. nucleon clusters play an important role in the structure of heavy nuclei, however, it is not possible to evaluate their properties from those of deuteron, helium etc., only. See, e.g. [14] for discussion of the role of femtometer toroidal structures in nuclei.

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“…π are omitted here (see [10,11,12] for details and references). Different quantization schemes have been used in literature: rigid rotator, soft rotator or bound state model.…”

Section: Strange Hypernuclei (S = −1); Binding Energies Of Ground Statesmentioning

confidence: 99%

Strange and heavy flavoured hypernuclei in chiral soliton models

Kopeliovicha

Shunderuk

Proceedings of the IX International Conference on Hypernuclear and Strange Particle Physics

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Abstract. The extention of the chiral soliton approach to hypernuclei -strange or heavy flavoured -becomes more reliable due to success in describing of other properties of nuclei, e.g. the symmetry energy of nuclei with atomic numbers up to ∼ 30. The binding energies of the ground states of light hypernuclei with S = −1 have been described in qualitative agreement with data. The existence of charmed or beautiful hypernuclei and Theta-hypernuclei (strange, charmed or beautiful) with large binding energy is expected within same approach. -PACS. 12.39. Dc , 21.60.Ev, 21.80.+a, 1 Main features of the chiral soliton approach.The chiral soliton approach (CSA) is based on few principles and ingredients incorporated in the truncated effective chiral lagrangian:or U ∈ SU (3)-unitary matrix depending on chiral fields, m π is the pion mass, F π -pion decay constant, e -the only parameter of the model.The soliton (skyrmion) is coherent configuration of classical chiral fields, possessing topological charge (or winding number) identified with the baryon number B (Skyrme, 1961). Important simplifying feature of this approach is that configurations with different baryon, or atomic numbers are considered on equal footing, when zero modes only are taken into account in the quantization procedure. Another feature is that baryons individuality is absent within the multiskyrmion, and can be recovered -as it is believed -due to careful consideration of the nonzero modes.The observed spectrum of baryon states is obtained by means of quantization procedure and depends on their quantum numbers (isospin, strangeness, etc) and static characteristics of classical configurations. For the B = 1 case this was made first in the paper [1]. Masses, binding energies of classical configurations with baryon number B ≥ 2, their moments of inertia Θ I , Θ J , Σ-term (Γ ), and some other characteristics of the chiral solitons contain implicitly information about interaction between baryons.They are obtained usually numerically and depend on parameters of the model F π , e and masses of mesons which enter the mass term in the effective lagrangian 1 .2 Ordinary (S = 0) nuclei; symmetry energy as quantum correctionIn the SU (2) case, which is relevant for description of nonstrange baryons and nuclei, the rigid rotator quantization model is most adequate when quantum corrections are not too large. The symmetry energy E sym = b sym (N − Z) 2 /(2A), b sym ≃ 50 M eV , within chiral soliton approach is described mainly by the isospin dependent quantum correctionΘ I ∼ A being isotopical moment of inertia, I = (N −Z)/2 for the ground states of nuclei. The SU (2) quantization method -simplest and most reliable -is used here according to [1]. The moment of inertia Θ I grows not only with increasing number of colours, but also with increasing baryon number (∼ B approximately), therefore this correction decreases like ∼ 1/B and such estimates become more selfconsistent for larger B.In Fig.1 the differences of binding energies between states with integer isospins ...

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Flavored exotic multibaryons and hypernuclei in topological soliton models

Cited by 8 publications

References 71 publications

Rescaling of quantized skyrmions: From nucleon to heavy flavored baryons

Rescaling of quantized skyrmions: From nucleon to heavy flavored baryons

Baryon spectrum in largeNcchiral soliton and in quark models

Strange and heavy flavoured hypernuclei in chiral soliton models

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