Baryons in the Skyrme model

Holzwarth, G.; Schwesinger, B.

doi:10.1088/0034-4885/49/8/001

Cited by 171 publications

(109 citation statements)

References 69 publications

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“…The major focus of these three flavor soliton models is on the description of the low-lying J π = 1 2 + and 3 2 + baryons. These objects of interest are displayed in figure 1.1 in form of the popular representations of flavor SU (3). The baryons p, n, .…”

Section: 1mentioning

confidence: 99%

“…The ellipsis in eq (2.57) represent terms, which vanish when sandwiched between baryon states. According to the quantization prescription (2.34) the angular velocities Ω a are substituted by the right generators R a of SU (3). Taking the Fourier transform of the resulting matrix elements allows one to identify the magnetic form factor in the Breit frame [69,70] …”

Section: )mentioning

confidence: 99%

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Baryons as Three-Flavor Solitons

Weigel

1996

Int. J. Mod. Phys. A

139

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The description of baryons as soliton solutions of effective meson theories for three flavor (up, down, strange) degrees of freedom is reviewed and the phenomenological implications are illuminated. In the collective approach the soliton configuration is equipped with baryon quantum numbers by canonical quantization of the coordinates describing the flavor orientation. The baryon spectrum resulting from exact diagonalization of the collective Hamiltonian is discussed. The prediction of static properties such as the baryon magnetic moments and the Cabibbo matrix elements for semi-leptonic hyperon decays are explored with regard to the influence of flavor symmetry breaking. In particular, the role of strange degrees of freedom in the nucleon is investigated for both the vector and axial-vector current matrix elements. The latter are discussed extensively within in the context of the proton spin puzzle. The influence of flavor symmetry breaking on the shape of the soliton is examined and observed to cause significant deviations from flavor covariant predictions on the baryon magnetic moments. Short range effects are incorporated by a chiral invariant inclusion of vector meson fields. These extensions are necessary to properly describe the singlet axial-vector current and the neutron proton mass difference. The effects of the vector meson excitations on baryon properties are also considered. The bound state description of hyperons and its generalization to baryons containing a heavy quark are illustrated. In the case of the Skyrme model a comparison is performed between the collective quantization scheme and bound state approach. Finally, the Nambu-Jona-Lasinio model is employed to demonstrate that hyperons can be described as solitons in a microscopic theory of the quark flavor dynamics. This is explained for both the collective and the bound state approaches to strangeness.2

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Section: 1mentioning

confidence: 99%

Section: )mentioning

confidence: 99%

Baryons as Three-Flavor Solitons

Weigel

1996

Int. J. Mod. Phys. A

139

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“…Its connection to phenomenological nuclear forces is well established (Nyman & Riska 1990), and its justification based on large N c arguments ('t Hooft 1974) stemming from a quark-gluon picture indicates that it acts as a ''bridge'' between QCD and nucleonnucleon (n-n) forces. Several detailed reviews on the Skyrme model may be found in the literature (Holzwarth & Schwesinger 1986;Zahed & Brown 1986;Schechter & Weigel 1999).…”

Section: The Skyrme Modelmentioning

confidence: 99%

Skyrmion Stars: Astrophysical Motivations and Implications

Jaikumar

Ouyed

2006

ApJ

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We study mass-radius relations for compact stars employing an equation of state (EOS) of dense matter based on a Skyrme fluid. The zero-temperature mean-field model is based on mesonic excitations, incorporates the scale breaking of QCD, and accommodates baryons (nucleons) that arise as a solitonic configuration of mesonic fields. Stable configurations are obtained for central densities c / n 5:0, where n ¼ 2:575 ; 10 14 g cm À3 is the nuclear saturation density. These ''skyrmion stars'' are mostly fluid, with a crust that we describe by the EOS of Baym, Pethick, & Sutherland. Their masses and radii are in the ranges 0:4 M /M 3:6 and 13 km R 23 km, respectively. The minimum spin period is computed to be in the range 0:7 ms P 2:1 ms. They appear to have a mass-radius curve quite different from either neutron or quark stars and provide a suitable description of the heavier mass neutron stars discovered recently due to the inherently stiff EOS. Within the same model, we compute the dominant neutrino emissivity in neutron-rich -equilibrated matter and determine the cooling behavior of skyrmion stars.

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“…These quantities are simply related [3,4,5] to the proton and neutron electric and magnetic radii < r 2 E,M > p,n and respective magnetic moments µ p,n . We also include the axialvector coupling constant g A .…”

Section: Our Analysismentioning

confidence: 99%

“…General reviews of the Skyrme model have been written by Holzwarth and Schwesinger [3], Zahed and Brown [4] and Meissner [5], among others.…”

Section: Introductionmentioning

confidence: 99%

On the static properties of baryons in the Skyrme model

Battistel¹

2004

Braz. J. Phys.

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We use a modified version of the Skyrme model in which the stabilizing fourth-order term is separated in two parts with different parameters that are introduced in the Lagrangian and could vary independently. The predictions for the static properties of baryons are calculated and results are compared with the respective experimental values and those of other authors. We show that it possible to improve in an expressive way the results for the set of the important quantities at the same time.

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Baryons in the Skyrme model

Cited by 171 publications

References 69 publications

Baryons as Three-Flavor Solitons

Baryons as Three-Flavor Solitons

Skyrmion Stars: Astrophysical Motivations and Implications

On the static properties of baryons in the Skyrme model

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