vol. 22, p. 257 (11 pages)

•abstract

Classical Yang–Mills mechanics is shortly reviewed. The family of basic periodic orbits corresponding to different values of energy was found. Several unstable bifurcations existing in this family are presented in detail and compared with their counterparts from the ZOO of stable bifurcations. A brief discussion of the separatrix splitting is also included.

direct link to the full text (pdf)

https://www.actaphys.uj.edu.pl/R/22/3/257/pdf

link to the articles list

https://www.actaphys.uj.edu.pl/R/22/3/257

cite as

Acta Phys. Pol. B **22**, 257 (1991)

vol. 22, p. 269 (8 pages)

•abstract

An analogy is pointed out to exist between the algebraically deformed harmonic oscillator introduced by the author some years ago and the algebraically deformed rotators described by the examples of deformed or “quantum” Lie algebras originated in the last years from the “classical” algebra of SU(2). An experimental question is asked, if in fact physical harmonic oscillators are not (slightly) algebraically deformed. A loose relation to the Pöschl–Teller potential is discussed.

direct link to the full text (pdf)

https://www.actaphys.uj.edu.pl/R/22/3/269/pdf

link to the articles list

https://www.actaphys.uj.edu.pl/R/22/3/269

cite as

Acta Phys. Pol. B **22**, 269 (1991)

vol. 22, p. 277 (9 pages)

•abstract

An integrable Hamiltonian system in \(2N\) dimensions is constructed. It describes \(N\) interacting particles on a plane. Solutions to the equations of motion are also presented.

direct link to the full text (pdf)

https://www.actaphys.uj.edu.pl/R/22/3/277/pdf

link to the articles list

https://www.actaphys.uj.edu.pl/R/22/3/277

cite as

Acta Phys. Pol. B **22**, 277 (1991)

vol. 22, p. 287 (16 pages)

•abstract

A general Weyl’s recipe concerning studies on structural properties of physical models, has been applied to the case of a finite polymer chain, where translational symmetry is described by a cyclic group — the group of the obvious symmetry of the model. It has been shown that the hidden symmetry, imposed by this recipe as the group of all automorphisms of the cyclic group, involves some scaling operations, in addition to simple geometric transformations. Invariance of structure of the chain under nontrivial scaling operations allows us to interpret the chain as a self-similar object, with some fractal-like properties. A model of helical scaling has been proposed as a hypothetical possibility of realization of fractal scaling symmetry for polymer chains in constrained areas of three-dimensional space. General considerations are illustrated on an example of a chain composed of twelve elementary Brands cells, imitating the dock dial plate.

direct link to the full text (pdf)

https://www.actaphys.uj.edu.pl/R/22/3/287/pdf

link to the articles list

https://www.actaphys.uj.edu.pl/R/22/3/287

cite as

Acta Phys. Pol. B **22**, 287 (1991)

vol. 22, p. 303 (15 pages)

•abstract

In terms of an intergeneration U(3) algebra, a numerical model is constricted for quark mass matrices, predicting the top-quark mass around 170 GeV and the CP-violating phase around 750\(^{\circ }\). The CKM matrix is nonsymmetric in moduli with \(|V_{\rm ub}|\) being very small. All moduli are consistent with their experimental limits. The model is motivated by the author’s previous work on three replicas of the Dirac particle, presumably resulting into three generations of leptons and quarks. The paper may be also viewed as an introduction to a new method of intrinsic dynamical description of lepton and quark mass matrices.

direct link to the full text (pdf)

https://www.actaphys.uj.edu.pl/R/22/3/303/pdf

link to the articles list

https://www.actaphys.uj.edu.pl/R/22/3/303

cite as

Acta Phys. Pol. B **22**, 303 (1991)

vol. 22, p. 319 (6 pages)

•abstract

We check to what extent the assumptions of the vacuum insertion method, as used in the theory of \(K \to \pi \pi \) decays, can be derived from the high \(N_c\) approximation to the chiral perturbation theory. We find that, besides the well-known problem of Fierz terms, only the assumption for the \(K_{13}\) formfactor \((f_- = 0)\) does not follow. This assumption, however, affects the penguin contributions by less than four per cent and the nonpenguin contributions by less than two percent.

direct link to the full text (pdf)

https://www.actaphys.uj.edu.pl/R/22/3/319/pdf

link to the articles list

https://www.actaphys.uj.edu.pl/R/22/3/319

cite as

Acta Phys. Pol. B **22**, 319 (1991)

vol. 22, p. 325 (19 pages)

•abstract

We give the description of the computer program which simulates boost-invariant evolution of color flux tubes in high-energy processes. The program provides a graphic demonstration of space-time trajectories of created particles and can also be used as Monte Carlo generator of events.

direct link to the full text (pdf)

https://www.actaphys.uj.edu.pl/R/22/3/325/pdf

link to the articles list

https://www.actaphys.uj.edu.pl/R/22/3/325

cite as

Acta Phys. Pol. B **22**, 325 (1991)

▲ top

**PL ISSN 0587-4254** • APPB printed version

**PL ISSN 1509-5770** • APPB electronic version

**PL ISSN 1899-2358** • APPB Proc. Suppl. printed version

**PL ISSN 2082-7865** • APPB Proc. Suppl. electronic version

**Acta Physica Polonica B**

Faculty of Physics, Astronomy and Applied Computer Science

S. Łojasiewicza 11, 30-348 Kraków, Poland

phone: (+48) 12 664 49 68 • (+48) 12 664 46 46

e-mail: acta.phys.pol.b@uj.edu.pl