Some stable Skyrme configurations with B&gt;2

Sorace, E.; Tarlini, M.

doi:10.1016/0370-2693(89)91677-8

Physics Letters B

1989

DOI: 10.1016/0370-2693(89)91677-8

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Some stable Skyrme configurations with B>2

E. Sorace

M. Tarlini

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Cited by 3 publications

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“…Within the accuracy of our calculations we cannot be certain which configuration has the lowest energy in the chirally symmetrical limit. For B = 6 the torus-like SO(3) configuration has energy considerably higher than the energy of the SU (3) projector ansatz presented in the Table. Let us add here that the configuration of a double-torus form was considered also within the SU (2)-version of the model several years ago [14]. It has the energy somewhat higher than the energy of the known minimal energy configuration.…”

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confidence: 99%

“…To get (14) we have used the identity: s ab s cd − s ad s cb = s ac s bd . The formula (14) possesses remarkable symmetry relative to the different SU (2) subgroups of SU (3). The functions L 8 orL 8 do not enter (14) nor the expression (10) for the baryon number density.…”

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confidence: 99%

“…The analytical expressions for the moments of inertia are too lengthy to be reproduced here. Fortunately, it is possible to perform calculations without explicit analytical formulas, by substituting (15) into (14).…”

mentioning

confidence: 99%

“…Let us add here that the configuration of a double-torus form was considered also within the SU (2)-version of the model several years ago [14]. It has the energy somewhat higher than the energy of the known minimal energy configuration.…”

mentioning

confidence: 99%

“…g li are given in (15). To get (14) we have used the identity: s ab s cd − s ad s cb = s ac s bd . The formula (14) possesses remarkable symmetry relative to the different SU (2) subgroups of SU (3).…”

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Skyrmions from SU(3) harmonic maps and their quantization

2000

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Static properties of SU (3) multiskyrmions with baryon numbers up to 6 are estimated. The calculations are based on the recently suggested generalization of the SU (2) rational map ansätze applied to the SU (3) model. Both SU (2) embedded skyrmions and genuine SU (3) solutions are considered and it is shown that although, at the classical level, the energy of the embeddings is lower, the quantum corrections can alter these conclusions. This correction to the energy of the lowest state, depending on the Wess-Zumino term, is presented in the most general case.1. Topological soliton models, and the Skyrme model among them [1], have recently generated a fair amount of interest because they may be able to describe various properties of low energy baryons. So far, most of such studies have involved the SU (2) Skyrme model, whose solutions were then embedded into the SU (3) model. This is justified as the solutions of the SU (2) model are also solutions of SU (N ) models. However, there exist solutions of the SU (N ) models which are not embeddings of SU (2) fields and it is important to assess their contribution.As with solutions of the SU (2) Skyrme models, the solutions of the SU (3) model, with very few exceptions, can only be determined numerically. Like for the SU (2) case [2] one starts with a harmonic map ansatz which gives fields "close" to the genuine solutions [3,4]. Then one can use these fields as starting configurations of various numerical minimization schemes. For the SU (2) fields such an approach was carried out in [2] where it reproduced the results of the earlier numerical approaches [5,6] and so showed that the harmonic map approximations are very close to the final fields. The real solutions have energies only few hundreds of M eV lower than the harmonic approximations and the baryonic charge and energy distributions do not look very different etc. This has justified the use of harmonic field approximants in calculating various quantities when estimating quantum corrections to the classical results.In this paper we take a look at the nonembedding solutions of the SU (3) model. First we recall the results of [3] and use them in a SU (3) numerical minimization program to estimate the values of energies of true solutions. The SU (3) variational minimization program [7] has been rearranged for this purpose to allow the consideration of quite general field ansätze. This is discussed in the next section.In the following section we discuss various quantum corrections and compare our results with the similar results for the embeddings. The paper ends with a short section presenting our conclusions.2. The Lagrangian of the SU (3) Skyrme model, in its well known form, depends on the parameters F π and e and is given by [8,9]:

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Skyrmions from SU(3) harmonic maps and their quantization

2000

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Strange systems of baryons in chiral soliton models

Kopeliovich

1992

Nuclear Physics A

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The structure of multiskyrmion configurations

Nikolaeva

Nikolaev

Tkachev

1992

J. Phys. G: Nucl. Part. Phys.

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AbslrneLThe gcncral struclurc of tlie solitons with baryon numbcr 1-12 has k e n investigaled in Ihe [ramwork of tlie variational approach 10 the SLyyrme model. Some of the mlilons h a w a toroidal slruc~ure and some of them are much more complicaled. lhe masses of 1hr obtained solilons are also given. After quanlization lhese solilons can be interpreted as nuclear sta~es. Some of them could have isomer sales which differ bj lheir form.

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Some stable Skyrme configurations with B>2

Cited by 3 publications

References 16 publications

Skyrmions from SU(3) harmonic maps and their quantization

Skyrmions from SU(3) harmonic maps and their quantization

Strange systems of baryons in chiral soliton models

The structure of multiskyrmion configurations

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