2370482
A unified treatment of exactly solvable and quasi-exactly solvable quantum potentials
By exploiting the hidden algebraic structure of the Schrodinger Hamiltonian, namely the sl(2), we propose a unified approach of generating both exactly solvable and quasi-exactly solvable potentials. We obtain, in this way, two new classes of quasi-exactly solvable systems one of which is of periodic type while the other hyperbolic.
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.
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.
124385266
Mixing angles and decay constants of eta, eta-prime and eta(c)
122106765
More on meson decays of glueballs
Abstract In this letter, we observe that if the E(1440) is identified as a glueball with pseudoscalar quantum numbers then its decay width can be significantly large, about as broad as that of the ϱ meson, if not more. However, the possiblity of a narrow width cannot be rigorously ruled out. We also examine the sensitivity of the decay widths to the off-shell corrections as well as to the sign of the intermediate coupling constants.
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