Properties of multi-Skyrmions and their quantization within a generalized chiral soliton model

Shunderuk, A. M.

doi:10.1134/1.1707136

Cited by 3 publications

(9 citation statements)

References 11 publications

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“…The coefficients in the quadratic form (9) in ω i ω k define the SU(2) (isotopic) moments of inertia of arbitrary systems of SU(2) skyrmions. In the axially symmetrical case and in RM approximation they are not complicated and were written explicitly in [8,25,26].…”

Section: Theoretical Backgroundmentioning

confidence: 99%

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Mass splittings of nuclear isotopes in chiral solition approach

2006

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The differences of the masses of isotopes with atomic numbers between ∼ 10 and ∼ 30 can be described within the chiral soliton model in satisfactory agreement with data. The rescaling of the model is necessary for this purpose -decrease of the Skyrme constant by ∼ 30%, providing the "nuclear variant" of the model. The asymmetric term in Weizsacker-Bethe-Bacher mass formula for nuclei can be obtained as the isospin dependent quantum correction to the nucleus energy. Some predictions of the binding energies of neutron rich isotopes are made in this way from, e.g. 16 Be, 19 B to 31 Ne or 32 Na. The neutron rich nuclides with high values of isospin are unstable relative to the decay due to strong interactions. The SK4 (Skyrme) variant of the model, as well as SK6 variant (sixth order term in chiral derivatives in the Lagrangian as solitons stabilizer) are considered, the rational map approximation is used to describe multiskyrmions. * 1) Probably, one of the first attempts to include the sixth order term was made in [7] where the bound B = 2 torus-like configuration was found, similar to the case of fourth order, or Skyrme term.

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Section: Theoretical Backgroundmentioning

confidence: 99%

“…U ij ≃ uδ ij , V ij ≃ vδ ij , W ij ≃ wδ ij . Moreover, in many cases of interest the interference tensor of inertia is negligibly small, w ≪ u and w ≪ v [26,27]; the relative magnitude of this interference inertia decreases with increasing baryon number, and we shall neglect it for numerical estimates.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Mass splittings of nuclear isotopes in chiral solition approach

2006

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“…It defines the SU(3) rotational energy E rot (SU 3 ) = Θ F (Ω 2 4 + Ω 2 5 + Ω 2 6 + Ω 2 7 )/2 with Ω a , a = 4, ...7 being the angular velocities of rotation in SU(3) configuration space. For SU(2) skyrmions as starting configurations and the RM ansatz describing classical field configurations Θ F is given by [63,64]:…”

Section: Properties Of Multiskyrmionsmentioning

confidence: 99%

“…Considerable deviations take place for the torus with B = 2, smaller ones for B = 4, 5, 6, and generally, they decrease with increasing B-number. We shall use for our estimates very simple expression obtained within rational map approximation [63,64]…”

Section: Properties Of Multiskyrmionsmentioning

confidence: 99%

“…and J = 1/2 for odd values of the B-number. There are some deviations from this simple law for the ground states of real nuclei, but anyway, the correction to the energy of quantized states due to collective rotation of solitons is small and decreases with increasing B since the corresponding moment of inertia increases proportionally to ∼ B 2 [63,64]. Moreover, the J-dependent correction to the energy may cancel in the differences of energies of flavored and flavorless states, so, we neglect these contributions for our rough estimates.…”

Section: The Binding Energies Of θ + -Hypernuclei and Anti-charmed (Amentioning

confidence: 99%

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Flavored exotic multibaryons and hypernuclei in topological soliton models

Kopeliovich

Shunderuk

2005

J. Exp. Theor. Phys.

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The energies of baryon states with positive strangeness, or anti-charm (-beauty) are estimated in chiral soliton approach, in the "rigid oscillator" version of the bound state soliton model proposed by Klebanov and Westerberg. Positive strangeness states can appear as relatively narrow nuclear levels (Θ-hypernuclei), the states with heavy anti-flavors can be bound with respect to strong interactions in the original Skyrme variant of the model (SK4 variant). The binding energies of anti-flavored states are estimated also in the variant of the model with 6-th order term in chiral derivatives in the lagrangian as solitons stabilizer (SK6 variant). The latter variant is less attractive, and nuclear states with anti-charm and anti-beauty can be unstable relative to strong interactions. The chances to get bound hypernuclei with heavy anti-flavors increase within "nuclear variant" of the model with rescaled model parameter (Skyrme constant e or e ′ decreased by ∼ 30%) which is expected to be valid for baryon numbers greater than B ∼ 10. The rational map approximation is used to describe multiskyrmions with baryon number up to ∼ 30 and to calculate the quantities necessary for their quantization (moments of inertia, sigma-term, etc.).

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Examination of quantized multiskyrmions as possible nuclear bound states of antikaons

Kopeliovich

Potashnikova

2011

Phys. Rev. C

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Properties of multi-Skyrmions and their quantization within a generalized chiral soliton model

Cited by 3 publications

References 11 publications

Mass splittings of nuclear isotopes in chiral solition approach

Mass splittings of nuclear isotopes in chiral solition approach

Flavored exotic multibaryons and hypernuclei in topological soliton models

Examination of quantized multiskyrmions as possible nuclear bound states of antikaons

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