Mass splittings of nuclear isotopes in chiral solition approach

Kopeliovich, V.B.; Shunderuk, A. M.; Matushko, G. K.

doi:10.1134/s1063778806010169

Cited by 31 publications

(41 citation statements)

References 27 publications

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“…Similar differences for the odd-even or even-odd nuclei with half-integer isospins are shown in Fig.2. The differences of binding energies of other nuclei, besides those shown in Fig.1 and Fig.2, are also described well, see [2]. The change of the model parameter e is a natural way to take into account effectively the nonzero modes -breathing, vibration -which lead to the increase of dimensions of multiskyrmions (the natural unity of length in the model is ∼ 1/(F π e)).…”

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confidence: 57%

“…Notations for experimental data and calculation results as in Fig.1. Both Fig.1 and Fig.2 are taken from the paper [2].…”

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confidence: 99%

“…Many uncertainties and some specific corrections introduced in the nuclear mass formula are cancelled in such differences (see [2] for details and references). Similar differences for the odd-even or even-odd nuclei with half-integer isospins are shown in Fig.2.…”

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confidence: 99%

“…Since the orbital inertia Θ J is considerably greater than isotopical one Θ I (Θ J ≥ BΘ I ), this correction is not important for large enough baryon numbers and is not included in [2] and here. The success of the CSA in description the differences of binding energies of known nuclei allows to make predictions for the binding energies of still unknown neutron-rich nuclides (some examples were considered in [2]) and to go further to the consideration of different kinds of hypernuclei.…”

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confidence: 99%

“…The success of the CSA in description the differences of binding energies of known nuclei allows to make predictions for the binding energies of still unknown neutron-rich nuclides (some examples were considered in [2]) and to go further to the consideration of different kinds of hypernuclei.…”

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confidence: 99%

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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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confidence: 57%

“…Notations for experimental data and calculation results as in Fig.1. Both Fig.1 and Fig.2 are taken from the paper [2].…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

mentioning

confidence: 99%

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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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Realistic classical binding energies in the ω-Skyrme model

Gudnason

Speight

2020

J. High Energ. Phys.

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An omega-meson extension of the Skyrme model-without the Skyrme term but including the pion mass-first considered by Adkins and Nappi is studied in detail for baryon numbers 1 to 8. The static problem is reformulated as a constrained energy minimisation problem within a natural geometric framework and studied analytically on compact domains, and numerically on Euclidean space. Using a constrained second-order Newton flow algorithm, classical energy minimisers are constructed for various values of the omegapion coupling. At high coupling, these Skyrmion solutions are qualitatively similar to the Skyrmions of the standard Skyrme model with massless pions. At sufficiently low coupling, they show similarities with those in the lightly bound Skyrme model: the Skyrmions of low baryon number dissociate into lightly bound clusters of distinct 1-Skyrmions, and the classical binding energies for baryon numbers 2 through 8 have realistic values.

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Skyrmions, instantons and holography

Sutcliffe

2010

J. High Energ. Phys.

119

112

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Some time ago, Atiyah and Manton observed that computing the holonomy of Yang-Mills instantons yields good approximations to static Skyrmion solutions of the Skyrme model. This paper provides an extension and explanation of this result, by proving that instanton holonomies produce exact solutions of a BPS Skyrme model, in which the Skyrme field is coupled to a tower of vector mesons. Neglecting any (or indeed all) of the vector mesons breaks the scale invariance and removes the BPS property of the Skyrmions. However, it is shown that a truncation of the BPS Skyrme theory, in which only the first vector meson is included, already moves the Skyrme model significantly closer to the BPS system. A theory that is close to a BPS system is required to reproduce the experimental data on binding energies of nuclei. A zero-mode quantization of the Skyrmion is performed in the truncated BPS theory and the results are compared to the physical properties of the nucleon. The approach is an analogue in five-dimensional Minkowski spacetime of a recent holographic construction of a Skyrme model by Sakai and Sugimoto, based on a string theory derivation of a Yang-Mills-Chern-Simons theory in a curved five-dimensional spacetime.Comment: References added. Matches published versio

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Mass splittings of nuclear isotopes in chiral solition approach

Cited by 31 publications

References 27 publications

Strange and heavy flavoured hypernuclei in chiral soliton models

Strange and heavy flavoured hypernuclei in chiral soliton models

Realistic classical binding energies in the ω-Skyrme model

Skyrmions, instantons and holography

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