Minimum-principle calculation of the positron- hydrogen s-wave phase shift.
Minimum principle for single channel scattering applied to S-wave elastic-scattering phase shift of positrons by atomic hydrogen
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Minimum principle for single channel scattering applied to S-wave elastic-scattering phase shift of positrons by atomic hydrogen
Variational bound method applied to calculation of lower bounds on S-wave phase shifts for scattering of electrons by hydrogen atoms
Neutron-neutron S-wave scattering length from neutron spectra of deuterium bombardment by negative pion giving 2 neutrons and gamma ray
Monte Carlo analysis of gold sphere transmission experiments at 24 keV neutron energy using S wave spin state data
Calculations on S wave I equals 0 pion pion resonance
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Nonadiabatic theory application to inelastic S-wave scattering of low energy electrons from atomic hydrogen
Positron s-wave elastic scattering by atomic hydrogen below inelastic threshold analyzed, using Dalgarno-Lynn second order adiabatic potential
Schroedinger equation for S-wave scattering of electrons from hydrogen expressed in partial differential equations
Normal scalar nonet, K1 meson-2 pion decay, K1-K2 mass difference and S-wave pi-pion scattering
Three-body problem application to nuclear reactions involving neutron, proton and heavy nucleus, parametrizing two-body interactions in terms of s-wave separable potentials
Scattering matrix noniterative integral solutions applied to singlet and triplet s-wave Hartree-Fock phase shifts for electron-H-atom scattering
A generalized many-electron pseudopotential approach is presented for electron-neutral-atom scattering problems. A calculation based on this formulation is carried out for the singlet s-wave and p-wave electron-hydrogen phase shifts with excellent results. We compare the method with other approaches as well as discuss its applications for inelastic and rearrangement collision problems.
In this study of molecular dissociation produced by electron impact, diatomic systems and polyatomic molecules are considered, and attention is given to the effects of thermal motion and of momentum transfer in the collision process. A procedure is described which makes it possible to 'construct' both the laboratory angular distribution and velocity distribution of the atomic fragments (or, alternatively, the time-of-flight distribution). The calculation assumes that s-wave electron scattering predominates, i.e., that excitation occurs near threshold. The computational procedure may also be reversed to allow construction of possible molecular models to fit given experimental angular and velocity distribution data.
The quantum mechanical theory of scattering of a particle by a spherically symmetrical potential is presented. As in the inverse scattering problem, the input of the calculation is the scattering and bound-state data, and the output is data on the potential. The results discussed are explicit expressions for the values of the potential and its derivatives at the origin in terms of the scattering and boundstate data. Various methods to obtain these results are outlined. The presentation is aimed at introducing these various approaches. The simplest scattering problem (nonrelativistic S-wave scattering on a holomorphic potential without bound states) is used as the basis for discussion, and technicalities are omitted whenever possible without loss of clarity. A complete compilation is given of the results obtained to date in this field, including the treatment of higher partial waves and the Klein-Gordon and Dirac equations.
The compressional- and shear-wave velocities of Apollo 14 lunar rocks 14311,50 and 14313,27 as functions of pressure up to 10 kb and the thermal diffusivity of sample 14311,50 over the temperature range 100 to 550 K have been measured. Both samples 14311 and 14313 are polymict fragmental rocks. The overall elastic and anelastic behavior of the Apollo 14 samples are similar to those of Apollo 11 and 12 samples; low velocity and low Q at pressures below 1 kb and rapid increase of velocity and Q with pressure are also typical of the Apollo 14 rocks. The available data of P- and S-wave velocities of lunar rocks show that Birch's law holds for the lunar rocks. The thermal diffusivity of a lunar rock in vacuum is found to be significantly lower than that in air at one atmospheric pressure.
Ultrasonic P- and S-wave velocities of lunar samples 14310,72 and 15418,43 and P-wave velocities of sample 15015,18 were measured at room temperature to 5 kb confining pressure. The velocities of both igneous and breccia samples increased sharply over this pressure range. At low confining pressures, the shape of velocity-pressure curves of rocks is determined by the distribution function of crack aspect ratios. We suggest that analogue studies on terrestrial rocks having a wide assortment of crack parameters may be used to infer the nature of cracks in lunar rocks.
The projection of the target wave function on the total wave function of a scattered particle interacting with the target system is used to define an absolute phase shift including any multiples of pi. With this definition of the absolute phase shift, one can prove rigorously in the limit of zero energy for s-wave electrons scattered from atomic hydrogen that the triplet phase shift must approach a nonzero multiple of pi. One can further show that at least one pi of this phase shift is not connected with the existence of a bound state of the H- ion.