Exotic baryon states in topological soliton models

Walliser, Hans; Kopeliovich, V.B.

doi:10.1134/1.1618331

Cited by 82 publications

(203 citation statements)

References 13 publications

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“…[15] (fits A and B in Figure 4) with our results from Table II, we have found that our case (iii) with 4.3 ≤ e ≤ 4.7 supports fit B, and for 4.4 ≤ e ≤ 4.6 agrees nicely with fit A. Both fits A and B from [15] lie between 4.0 ≤ e ≤ 4.6 for case (ii). Case (iii) with 4.2 ≤ e ≤ 4.7 also supports the results presented in Table 1.…”

supporting

confidence: 75%

“…We hope that the present calculation, taken together with the analogous calculation in [7,13,15,16,26,27,28,29] will contribute to the understanding of the overall picture of the baryonic mass spectrum and mass splittings in the Skyrme model, as well as to further computations of other nonperturbative, dimension-6 operator matrix elements between different baryon states [43,44].…”

mentioning

confidence: 99%

“…To estimate baryon multiplets (8, 10, 10, 27, etc.) mass spectra, relevant mass differences and other baryon properties, various authors employed different types of methods and models [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33].…”

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confidence: 99%

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Skyrme model predictions for the27J=3/2mass spectrum and the273/2
Duplančić
¹
,
Pašagić
²
,
Trampetić
³

2004
Phys. Rev. D
1
0
0
0
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The 27 J =3/2 -plet mass spectrum and the 27 3/2 -10 mass splittings are computed in the framework of the minimal SU(3) f extended Skyrme model. As functions of the Skyrme charge e and the SU(3) f symmetry breaking parameters the predictions are presented in tabular form. The predicted mass splitting 27 3/2 -10 is the smallest among all SU(3) f baryonic multiplets, confirming earlier findings. 12.39Dc, The discovery [1] of the exotic baryon Θ + , with strangeness +1 and probable spin 1/2, recently supported by the observations of Θ + in various experiments [2,3,4,5], and the discovery [6] of the exotic isospin 3/2 baryon with strangeness -2, Ξ −− 3/2 , have produced huge excitement in the high energy physics community.The Θ + -baryon mass was successfully predicted in the "model-independent" way for the first time in Ref. [7]. However, it was the prediction of the narrow width of Θ + in the chiral quark-soliton model of Ref.[8] that stimulated experimental searches. To estimate baryon multiplets (8, 10, 10, 27, etc.) mass spectra, relevant mass differences and other baryon properties, various authors employed different types of methods and models [9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33].The main aim of this Brief Report is the application of the minimal SU(3) f extended Skyrme model [13] in an attempt to predict the 27 3/2 -10 mass splitting and the 27 3/2 -plet mass spectrum. The minimally extended Skyrme model uses only one free parameter, the Skyrme charge e, and only flavor symmetry break-, and L SB denote the σ-model, Skyrme, Wess-Zumino and SB terms [34,35,36,37,38,39,40], respectively. For the profile function in L we use the arctan ansatz [41] which makes possible to evaluate relevant overlap integrals analytically. The classical soliton mass M csol receives too large a value producing an unrealistic baryonic mass spectrum. We are using it only to obtain the dimensionless size of the skyrmion x 0 by minimizing M csol (x 0 ). The dimensionless size of the skyrmion x 0 includes the dynamics of SB effects, which takes place within the skyrmion. It follows that [29

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confidence: 75%

mentioning

confidence: 99%

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Skyrme model predictions for the27J=3/2mass spectrum and the273/2
Duplančić
¹
,
Pašagić
²
,
Trampetić
³

2004
Phys. Rev. D
1
0
0
0
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“…Exotic multiquarks are expected since the early works of Jaffe [5,6], and some years ago Diakonov, Petrov and Polyakov [7] applied skyrmions to a precise prediction of Θ + . Very recent studies suggest that Θ + is a pentaquark state [8]. The nature of this particle, its isospin, parity [9] and angular momentum, are yet to be determined.…”

mentioning

confidence: 99%

Θ+(1540)as a heptaquark with the overlap of a pion, a kaon, and a nucleon

Bicudo¹,

Marques²

2004

Phys. Rev. D

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We study the very recently discovered Θ + (1540) at SPring-8, at ITEP and at CLAS-Thomas Jefferson Lab. We apply the same RGM techniques that already explained with success the repulsive hard core of nucleon-nucleon, kaon-nucleon exotic scattering, and the attractive hard core present in pion-nucleon and pion-pion non-exotic scattering. We find that the K − N repulsion excludes the Θ + as a K − N s-wave pentaquark. We explore the Θ + as a heptaquark, equivalent to a N + π + K borromean bound-state, with positive parity and total isospin I = 0. We find that the kaon-nucleon repulsion is cancelled by the attraction existing both in the pion-nucleon and pion-kaon channels. Although we are not yet able to bind the total three body system, we find that the Θ + may still be a heptaquark state. We conclude with predictions that can be tested experimentally.

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“…Some features of exotic baryon spectra obtained previously within topological soliton model [26,7,27,28,29] can be understood in the framework of pentaquark model, independently of its particular variant (see, e.g. [30]).…”

mentioning

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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Exotic baryon states in topological soliton models

Cited by 82 publications

References 13 publications

Skyrme model predictions for the27J=3/2mass spectrum and the273/2
Duplančić
¹
,
Pašagić
²
,
Trampetić
³

2004
Phys. Rev. D
1
0
0
0
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Skyrme model predictions for the27J=3/2mass spectrum and the273/2
Duplančić
¹
,
Pašagić
²
,
Trampetić
³

2004
Phys. Rev. D
1
0
0
0
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Θ+(1540)as a heptaquark with the overlap of a pion, a kaon, and a nucleon

Baryon spectrum in largeNcchiral soliton and in quark models

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Exotic baryon states in topological soliton models

Cited by 82 publications

References 13 publications

Skyrme model predictions for the27J=3/2mass spectrum and the273/2Duplančić1, Pašagić2, Trampetić3 2004Phys. Rev. D1000View full textAdd to dashboardCite

Skyrme model predictions for the27J=3/2mass spectrum and the273/2Duplančić1, Pašagić2, Trampetić3 2004Phys. Rev. D1000View full textAdd to dashboardCite

Θ+(1540)as a heptaquark with the overlap of a pion, a kaon, and a nucleon

Baryon spectrum in largeNcchiral soliton and in quark models

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Product

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About

Skyrme model predictions for the27J=3/2mass spectrum and the273/2
Duplančić
¹
,
Pašagić
²
,
Trampetić
³

2004
Phys. Rev. D
1
0
0
0
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Skyrme model predictions for the27J=3/2mass spectrum and the273/2
Duplančić
¹
,
Pašagić
²
,
Trampetić
³

2004
Phys. Rev. D
1
0
0
0
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