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1.
Approximate analytical solutions describing the skyrmions given by rational-map ansatz are obtained. At large baryon numbers, these solutions are similar to the domain wall or to spherical bubbles with energy and baryon number density concentrated at their boundary. A rigorous upper bound is obtained for the masses of rational map multiskyrmions, which is close to known masses, especially at large B. The main properties of bubbles of matter are obtained for an arbitrary number of flavors.  相似文献   

2.
The Skyrme model provides a novel unified approach to nuclear physics. In this approach, single baryon, baryonic matter and medium-modified hadron properties are treated on the same footing. Intrinsic density dependence (IDD) reflecting the change of vacuum by compressed baryonic matter figures naturally in the approach. In this article, we review the recent progress on accessing dense nuclear matter by putting baryons treated as solitons, namely, skyrmions, on crystal lattice with accents on the implications in compact stars.  相似文献   

3.
The Atiyah-Manton (AM) construction based on instantons is used to construct skyrmions. For baryon number one, an analytic form for the skyrmion is obtained that compares well with the exact solution. For baryon number two, we study skyrmion interactions and distortion as a function of relative distance and orientation. From this we project out a nucleon-nucleon interaction. We find the principal features of the nuclear force but still no intermediate-range attraction. We compare the AM construction with the product ansatz.  相似文献   

4.
We show that many properties of the baby skyrmions, which have been determined numerically, can be understood in terms of an analytic approximation. In particular, we show that the approximation captures properties of the multiskyrmion solutions (derived numerically) such as their stability towards decay into various channels, and that it is more accurate for the “new baby Skyrme model” describing anisotropic physical systems in terms of multiskyrmion fields with axial symmetry. Some universal characteristics of configurations of this kind are demonstrated that are independent of their topological number.  相似文献   

5.
Due to the successes of the Skyrme model, we explore the possibility that other types of skyrmions exist, due solely to the existence of a pseudoscalar triplet with a Lagrangian of the Skyrme form. The physical meaning of other types of skyrmions is discussed.  相似文献   

6.
M. Kutschera   《Nuclear Physics A》1985,440(4):670-684
We consider the interaction between skyrmions at small separations, and argue that for identical skyrmions it varies as 1/r, where r is the distance between them. There are significant many-body forces which have the effect of making interaction energies small except for skyrmions in direct contact with one another. Our results differ considerably from those found using the product ansatz, in which the unitary matrix describing the pion field is taken to be a product of the matrices for free skyrmions, and we show how these differences may be resolved. We also show how the n4/3 behaviour of the energy density of dense matter at high baryon densities n may be understood in terms of the skyrmion-skyrmion interaction.  相似文献   

7.
8.
The energies of baryon states with positive strangeness, or anticharm (antibeauty), are estimated in the 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), and the states with heavy antiflavors can be bound with respect to strong interactions in the original Skyrme variant of the model (SK4 variant). The binding energies of antiflavored states are also estimated in the variant of the model with a sixth-order term in chiral derivatives added to the Lagrangian to stabilize solitons (SK6 variant). This variant is less attractive, and nuclear states with anticharm and antibeauty can be unstable relative to strong interactions. The chances of obtaining bound hypernuclei with heavy antiflavors increase within the “nuclear variant” of the model with a rescaled model parameter (the Skyrme constant e or e′ decreased by a out 30%), which is expected to be valid for baryon numbers greater than B ~ 10. The rational map approximation is used to describe multiskyrmions with a baryon number of up to about 30 and to calculate the quantities necessary for their quantization (moments of inertia, sigma term, etc.).  相似文献   

9.
The (2 + 1)-dimensional Skyrme gauge model with a Chern-Simons term is considered. The presence of the Chern-Simons term makes possible the existence of two-dimensional skyrmions in this model, which carry magnetic flux and have an electric charge and a nonzero angular momentum. It is shown that the model also admits the existence of two-dimensional skyrmions with a nonzero phase frequency of rotation. Due to the nontrivial topological properties of the model, the magnetic flux, the electric charge, and the angular momentum of a two-dimensional rotating skyrmion turn out to be interrelated. Analytic and numerical investigations of the properties of rotating two-dimensional skyrmions are carried out.  相似文献   

10.
We use the SU(3) Skyrme model to investigate the effects of symmetry breaking imposed by different pseudoscalar meson masses on the structure of baryons. Specifically, we calculate their mass splittings, magnetic moments, charge radii, semileptonic decays as well as different strangeness contents of the proton. Since the Skyrme soliton is allowed to deform under the pressure of the symmetry breaking we find significant variations in baryon sizes with respect to strangeness.  相似文献   

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