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.
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
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.
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.
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.
122098164
Analytic solutions in configuration space representation for scattering from a class of separable nonlocal potentials