121058987
Quantitative measure of the SU(4) x SU(4) breaking, SU(2) mass splitting of the charmed hadrons, and quark masses
We investigate in a chiral SU(4) x SU(4) model the symmetry-breaking parameters, decay constants,D/sup +/-D/sup 0/ mass difference, quark masses, and electromagnetic mass splitting of the charmed baryons by assuming (i) that matrix elements of the type are SU(4) invariant and alternatively (ii) that these are dominated by the quark mass term. The two approaches are compared in this work and conclusions presented. We also mention possible extensions to the chiral SU(5) x SU(5) scheme and discuss some of the associated problems.
121535808
Estimate of strangeness content of the nucleon
Utilizing the quark-glue structure of the eta and eta ' mesons and exploiting the SU(3) relationships among the meson-baryon coupling constant, the authors show that the baryon loop calculation of the pi 0, eta , eta ' to gamma gamma amplitudes allows one a straightforward estimation of the strangeness content in the nucleon. The role of the gluonic couplings of the eta and eta ' is explored.
16287686
PT-symmetric sextic potentials
Abstract The family of complex PT-symmetric sextic potentials is studied to show that for various cases the system is essentially quasi-solvable and possesses real, discrete energy eigenvalues. For a particular choice of parameters, we find that under supersymmetric transformations the underlying potential picks up a reflectionless part.
118783546
Masslessness of the up quark and eta-->3pi0 decay
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.
124385266
Mixing angles and decay constants of eta, eta-prime and eta(c)
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
122098164
Analytic solutions in configuration space representation for scattering from a class of separable nonlocal potentials