arXiv subjects

A. Acus

Publications and source records attributed to A. Acus.

24 records · Page 2Linked to original sources

arXiv2000

Nucleon form factors in the canonically quantized Skyrme model

The explicit expressions for the electric, magnetic, axial and induced pseudoscalar form factors of the nucleons are derived in the {\it ab initio} quantized Skyrme model. The canonical quantization procedure ensures the existence of stable soliton solutions with good quantum numbers. The form factors are derived for representations of arbitrary dimension of the SU(2) group. After fixing the two parameters of the model, $f_π$ and $e$, by the empirical mass and electric mean square radius of the proton, the calculated electric and magnetic form factors are fairly close to the empirical ones, whereas the the axial and induced pseudoscalar form factors fall off too slowly with momentum transfer.

nucl-th↗

arXiv2000

Can spontaneous symmetry breaking occur in potential with one minima?

Spontaneous symmetry breaking occurs when the symmetry that a physical system possesses, is not preserved for the ground state of the system. Although the procedure of symmetry breaking is quite clear from the mathematical point of view, the physical interpretation of the phenomenon is worth to be better understood. In this note we present a simple and instructive example of the symmetry breaking in a mechanical system. It demonstrates that the spontaneous symmetry breaking can occur for the spatially extended solutions in a potential characterised by a single minimum.

physics.ed-ph↗

arXiv1999

Barions as Solitons in Quantum SU(2) Skyrme Model

This paper is a PhD thesis defended at Institute of Theoretical Physics and Astronomy on 18 December, 1998. The following (abbreviated) statements represent the main results of the work: 1.Each of SU(2) representation j yields the different quantum Lagrangian density. As a consequence, theoretical observables depend on representation j which can be treated as a new phenomenological parameter. 2.Quantum chiral solitons exist and possess asymptotic behaviour consistent with the massive Yukawa field fall. The asymptotic shape and PCAC relation leads to the correct asymptotic equation coinciding with contribution of explicitly broken term. 3.A nucleon and Δ_{33}-resonance are the only stable states for irreducible representations j=3/2 and j=2. Unphysical tower of states l_{spin} =l_{isospin} is, therefore, terminated by choosing the appropriate SU(2) representations. 4.Higher spin l> 1/2 quantum states are not "spherically symmetric". The Hamiltonian density function depends on the polar angle theta. 5.Each of the spin-isospin state yields the different range of realizable values of the parameter e. 6.A very good agreement with experimental data is obtained for axial coupling constant g_A in higher representations of SU(2), the problem being previously unsolved by using various extensions of the model in the fundamental representation of SU(2). 7.The basic quantum Skyrme model provides considerable improvements in nucleon magnetic momenta and, especially, in neutron charge density distribution.

hep-ph↗

arXiv1997

Stability and Representation Dependence of the Quantum Skyrmion

A constructive realization of Skyrme's conjecture that an effective pion mass ``may arise as a self consistent quantal effect'' based on an ab initio quantum treatment of the Skyrme model is presented. In this quantum mechanical Skyrme model the spectrum of states with $I=J$, which appears in the collective quantization, terminates without any infinite tower of unphysical states. The termination point depends on the model parameters and the dimension of the SU(2) representation. Representations, in which the nucleon and $Δ_{33}$ resonance are the only stable states, exist. The model is developed for both irreducible and reducible representations of general dimension. States with spin larger than 1/2 are shown to be deformed. The representation dependence of the baryon observables is illustrated numerically.

nucl-th↗

arXiv1997

Stability of SU(2) Quantum Skyrmion and Static Properties of Nucleons

The Skyrme model is considered quantum mechanically ab initio in various irreducible representations of the SU(2) group. The canonical quantization procedure yields negative mass correction ensuring existence of stabile soliton solution even in chiral limit. The evaluated static properties of nucleons (masses, magnetic moments, radii etc.) are in a good agreement with experimental data.

hep-ph↗

arXiv1996

The Quantum Skyrmion in Representations of General Dimension

The representations of general dimension are constructed for the $SU(2)$ Skyrme model, treated quantum mechanically {\it ab initio. } This quantum Skyrme model has a negative mass term correction, that is not present in the classical Hamiltonian. The magnitude of the quantum mechanical mass correction increases with the dimension of the representation of the $SU(2)$ group. In the case of a 5-dimensional representation it is possible to obtain satisfactory predictions for the nucleon mass with the empirical value for the pion decay constant.

hep-ph↗