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Shiv Nadar University

(SoNS) School of Natural Sciences

Using infinite-momentum-frame techniques we generalize the Schwinger formula for the pseudoscalar nonets to include the effects of the (1460). By seeking consistency with its current rates we estimate the (1460) mixing angles. We also allow the possibility of nonet symmetry breaking in the couplings. Our results support a glueball interpretation of the with not inconsistent with quarkonium states. © 1988 The American Physical Society.

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Physics

Physical Review D

Glueball candidate (1460) and quarkonium-gluonium mixing

We construct a scenario of supersymmetry in quantum mechanics by imposing a structure on the raising and lowering operators. Possible consequences are worked out in one dimension which includes relating supersymmetry to the infinite deep well problem © 1988 Società Italiana di Fisica.

Il Nuovo Cimento A

A scenario of supersymmetry in quantum mechanics

Formulation of the expectations of eight operators required for the evaluation of the Born corrections, the Born couplings, and higher derivatives of the Born-Oppenheimer wave functions are derived for the case of a Gaussian-lobe orbital (GLO) basis. The relative simplicity of these analytical formulas is a special advantage of GLO and reduces the computer time in these calculations. Some operators treated here require a modification of the Slater rules. As examples of applications of these techniques, ab initio calculations of the orbital stresses and the Born corrections for the ground state X 1Sg+ and excited states 1Σ g+ (II), C, C′ 3Πu, and 3Πu (Π) of N2 are reported. The obtained results show that the Born correction near the avoided crossing region strongly depends upon the nuclear separation; in this region configuration interaction makes an important contribution. © 1988 American Institute of Physics.

Chemistry

Fulltext

The Journal of Chemical Physics

Ab initio evaluation of the Born correction, Born couplings, and higher derivative matrix elements with Gaussian-lobe orbitals

A ladder-operator technique for generating isospectral Hamiltonians is presented. The most attractive feature of the scheme is that the results are obtained without any specific realization of the ladder operators. The method is applied to the N-dimensional Coulomb and isotropic oscillator problems. Few new results are presented in addition to those obtained using supersymmetric quantum mechanics. © 1988 The American Physical Society.

Physical Review A

Isospectral Hamiltonians for potentials having rotational symmetry in N dimensions

A computational study of six nitramines, RiR2NNO2, has been carried out with the objective of gaining a better understanding of how the properties of the NNO2 group are affected by the natures of R1 and R2. An ab initio SCF procedure was used, with the initial step being the determination of each molecule's optimized geometry. This was subsequently used to compute its bond orders, dipole moment, and electrostatic potential. In most instances, the NNO2 portions of the molecules are planar, due to the strong electron-withdrawing effect of the nitro group; the amino-type nitrogen can better respond to this when in a planar configuration. One consequence is that the N-NO2 bonds possess some degrees of double bond character; their bond orders range from 1.36 to 1.63, with the weaker bonds corresponding to the more electron-withdrawing and R1 R2 groups. The strong negative electrostatic potentials normally associated with the lone pairs of amino-type nitrogens are greatly weakened or eliminated in most of these molecules; several of them show evidence of significant hyperconjugation, resulting in enhanced acidic character. © 1988, American Chemical Society. All rights reserved.

Journal of the American Chemical Society

Computational evaluation and comparison of some nitramine properties

A computational analysis of phenol and p-nitrophenol has been carried out with the objective of determining the extent to which the conjugation between the -OH group and the aromatic ring is affected by a 90° rotation of the former. The ab initio SCF-MO GAUSSIAN 82 procedure was used to compute optimized geometries, electronic densities and electrostatic potentials. The effect of rotation upon the structures and distributions of π electronic charge are rather small. However, the electrostatic potential reveals that as a consequence of rotation around the COH bond, there should be an overall preference for the ortho positions as the initial sites for electrophilic attack. The -NO2 group deactivates the aromatic ring toward electrophiles and increases the positive character of the hydroxyl hydrogen. © 1988.

Journal of Molecular Structure: THEOCHEM

An examination of some effects of OH rotation in phenol and p-nitrophenol

By transforming the radial equation of the isotropic oscillator to the Coulomb form, the authors show that the energy degeneracy of the three-dimensional oscillator may be understood on account of supersymmetry. © 1987, IOP Publishing Ltd.

Journal of Physics A: Mathematical and General

Supersymmetry and the three-dimensional isotropic oscillator problem

A correct procedure for constructing supersymmetry in three dimensions is presented. The degeneracies are found between states of the same l but different n and Z and the previous results on the Coulomb and the three-dimensional isotropic oscillator problems are reestablished. The authors also consider the hydrogen-helium problem and find supersymmetry to hold to a good approximation.

Supersymmetry in atomic physics and the radial problem

The SU(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′. © 1987 Springer-Verlag.

Zeitschrift für Physik C Particles and Fields

Nonet symmetry, anomalous Ward identities and meson-gluonium mixing

The short-time evolution of a class of nonlinear Klein-Gordon systems is studied. For nonzero mass, the short-time behavior of the field variable has an inverse-sine spectrum rather than an exponential one. © 1987 Plenum Publishing Corporation.