18633717
CPT-conserving Hamiltonians and their nonlinear supersymmetrization using differential charge-operators C
A brief overview is given of recent developments and fresh ideas at the intersection of - and/or -symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). Within the framework of the resulting supersymmetric version of -symmetric quantum mechanics we study the consequences of the assumption that the "charge" operator is represented in a differential-operator form of the second or higher order. Besides the freedom allowed by the Hermiticity constraint for the operator , encouraging results are obtained in the second-order case. In particular, the integrability of intertwining relations proves to match the closure of our nonlinear (viz., polynomial) SUSY algebra. In a particular illustration, our form of -symmetric SUSY QM leads to a new class of non-Hermitian polynomial oscillators with real spectrum which turn out to be -asymmetric.
123060597
Aq deformation of Gell-Mann-Okubo mass formula
We explore the possibility of deforming Gell-Mann-Okubo (GMO) mass formula within the framework of a quantized enveloping algebra. A small value of the deformation parameter is found to provide a good fit to the observed mass spectra of theπ, K andη mesons.
119341722
Nonet symmetry, anomalous Ward identities and meson-gluonium mixing
TheSU(3) flavour structure of ι(1460) is exploited to seek consistency between vector meson dominance and anomalous Ward identities. Our analysis shows that a minimum of 10 to 20% breaking in nonet symmetry is necessary to get an overall fit with the radiative rates of low-lying η and η′.
118783546
Masslessness of the up quark and eta-->3pi0 decay
36046285
Flavor violation in Higgs-boson couplings to baryons.
The 1/2{sup +} baryon mass spectrum is studied to determine the {ital {bar u}u}, {ital {bar d}d}, and {ital {bar s}s} contents in the nucleon. We find that higher-order symmetry-breaking terms in the mass operator are necessary to estimate {l angle}{ital p}{vert bar}{ital {bar u}u}{vert bar}{ital p}{r angle}, {l angle}{ital p}{vert bar}{ital {bar d}d}{vert bar}{ital p}{r angle}, and {l angle}{ital p}{vert bar}{ital {bar s}s}{vert bar}{ital p}{r angle} in a self-consistent way. We also assess the scalar (pseudoscalar) Higgs-boson couplings to baryons.
6034013
Zero-energy states for a class of quasi-exactly solvable rational potentials
Abstract Quasi-exactly solvable rational potentials with known zero-energy solutions of the Schrodinger equation are constructed by starting from exactly solvable potentials for which the Schrodinger equation admits an so(2,1) potential algebra. For some of them, the zero-energy wave function is shown to be normalizable and to describe a bound state.
122334428
Integral equations and the bound‐state problem
An integral equation for the s‐wave bound‐state solution is derived and then solved for a square‐well potential. It is shown that the scattering solutions continue to exist at negative energies, and when evaluated at the energy of a bound state these solutions do reduce to the bound‐state solution. The bound‐state energies of a square‐well potential are deduced also from orthogonality considerations. Finally, the existence of bound states for an arbitrary short‐range potential is related to the occurrence of zeros of the Jost function or poles of the S matrix for that potential.
120952330
The Zero-Energy Continuum Bound State of the Saito Potential