115157156
Existence of Different Intermediate Hamiltonians in Type A N-Fold Supersymmetry II. The N=3 Case
Abstract We continue the previous study on the existence of different intermediate Hamiltonians in type A N -fold supersymmetric systems and carry out an exhaustive investigation on the N  = 3 case. In contrast with the N  = 2 case, we find various patterns in the existence of intermediate Hamiltonians due to the presence of two different intermediate positions in a factorized type A 3-fold supercharge. In addition, all the N  = 3 models are strictly restricted to at most elliptic type, which enables us to make the complete classification of the systems which admit intermediate Hamiltonians. Finally, we show realizations of third-order parasupersymmetry and variant generalized 3-fold superalgebras by such systems.
118783546
Masslessness of the up quark and eta-->3pi0 decay
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.
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)
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.
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