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′.
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)
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.
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.
18319013
Non-Hermitian Hamiltonians with real and complex eigenvalues: An sl(2,C) approach
Potential algebras are extended from Hermitian to non-Hermitian Hamiltonians and shown to provide an elegant method for studying the transition from real to complex eigenvalues for a class of non-Hermitian Hamiltonians associated with the complex Lie algebra A$_1$.
120952330
The Zero-Energy Continuum Bound State of the Saito Potential
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.