abstract

The statistical hadronization model ThermalFist was applied to numerous hadron yields measured in \(p\)+\(p\) collisions at \(\sqrt {s} = 8.8\), 12.3, and 17.3 GeV, including recently published yields of \(\phi \) and \(K^0_{\mathrm {S}}\)-mesons, measured by the NA61/SHINE Collaboration. We consistently used the energy-dependent widths of Breit–Wigner mass distributions of hadronic resonances. The canonical treatment of particles with open strangeness combined with the grand canonical approach for non-strange particles gave a moderately reasonable agreement with the measured yields, quantified by \(\chi ^2/{\mathrm {NDF}} \approx 2\)–7, only when the volume of strange particles was allowed to vary freely. This volume is found to be greater than the one for non-strange matter for all the studied energies. The predicted yields of some of not yet measured particles are provided.

abstract

An infinite-equilibria memristive chaotic system (MCS) with plentiful parameter-relied and initial-relied dynamics is constructed from a six-term three-dimensional (3D) system by leading into a flux-controlled memristor. The stabilities of equilibria and dynamical behaviors are discussed. Period-doubling bifurcation corresponds to system parameters and initial values are investigated to reveal its chaos generation. Infinite coexisting chaotic and periodic attractors are discovered in the system by using bifurcation diagrams and phase portraits. Changing multiple parameters of the system, the oscillation amplitude of variables increase or decrease accordingly, yielding the amplitude control feature. Not only the parameter-relied amplitude control, but also the initial-relied amplitude control is found as well. Moreover, the circuit implementation is given to support the physical existence and reliability of the system.

abstract

We present a new transformation method in the framework of higher-dimensional relativistic Quantum Mechanics of the Klein–Gordon equation for the generation of exactly solvable quantum mechanical potentials from the already known exactly solvable centrally symmetric power-law potentials. The method is based on a coordinate transformation supplemented by a functional transformation along with a set of indispensable ansatzes. The efficacy of our method is investigated by (re)generating two of the most fundamental potentials — harmonic oscillator and Coulomb potentials in \(D\)-dimensional Euclidean space. The pertinent issue of normalisability for the generated wavefunctions can be elegantly examined in our formalism. The present work reveals a relative parent–daughter family relationship between the Coulomb and harmonic oscillator potentials in the relativistic regime of higher-dimensional quantum mechanics.