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Book Asymptotic Form of the Electron Capture Cross Section in First Born and Distorted Wave Approximations

Download or read book Asymptotic Form of the Electron Capture Cross Section in First Born and Distorted Wave Approximations written by R. A. Mapleton and published by . This book was released on 1964 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first Born approximation with both the proton-proton and proton-electron interaction is used to calculate the high energy electron capture cross section. It is shown that the high energy proton-nucleus amplitude has a dominant peak for backward scattering (centre-of-mass system). As a consequence of this peak, if the protons are treated as distinguishable particles, the cross section depends upon the impact energy E as E(3- ) in contrast to the commonly accepted E(6- ) dependence. When the protons are treated as indistinguishable particles, the electron capture cross section is not defined at sufficiently high energies. This same cross section is also calculated using the distorted wave approximation as developed by Bassel and Gerjuoy in 1960. It is shown that the proton-nucleus amplitude is only cancelled in the forward direction, and consequently the electron capture cross section is again not defined at high energies. (Author).

Book Calculated Cross Sections for Atomic Displacements Produced by Electrons in the 1 0 3 0 MeV Energy Range

Download or read book Calculated Cross Sections for Atomic Displacements Produced by Electrons in the 1 0 3 0 MeV Energy Range written by Edward A. Burke and published by . This book was released on 1965 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Asymptotic Form of the Electron Capture Cross Section in the Classical Approximation

Download or read book Asymptotic Form of the Electron Capture Cross Section in the Classical Approximation written by D. R. Bates and published by . This book was released on 1964 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been shown that if the protons are regarded as distinguishable particles the asymptotic form of the cross section for H(+) + H(1s) to H(1s) + H(+) in the (nonrelativistic) First Born and distorted wave approximations is Q(1s-1s) = 2Mpi(a-squared) /3m (E-cubed), where E is the energy of the incident proton in atomic units, M is its mass and m is the mass of the electron. A simple classical treatment of this problem is given.

Book Monthly Catalog of United States Government Publications

Download or read book Monthly Catalog of United States Government Publications written by United States. Superintendent of Documents and published by . This book was released on 1965-07 with total page 1320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Classical Calculations on Electron Capture

Download or read book Classical Calculations on Electron Capture written by David Robert Bates and published by . This book was released on 1966 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Technical Abstract Bulletin

Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Asymptotic Solutions of Dipoles in a Semi infinite Medium

Download or read book Asymptotic Solutions of Dipoles in a Semi infinite Medium written by Kondagunta U. Sivaprasad and published by . This book was released on 1965 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theoretical analysis is made of the electromagnetic fields in two homogeneous media separated by a plane interface with a point source located in the denser medium. The solution is expressed in the form of integrals which cannot be evaluated explicitly. Asymptotic evaluations of the integrals have been made by many investigators using the saddlepoint technique. In the present work, all known asymptotic results are presented in one comprehensive form, using a modification of the method suggested by Lighthill for the asymptotic evaluation of the Fourier integrals. The regions of validity of the solutions are indicated wherever possible. The advantage of this method over others is its ease and simplicity. The present results agree term by term with the earlier ones of Banos and Wesley (1953-1954), and Paul (1959), who investigated the case of a source and receiver close to the interface, and an arbitrary location of source and receiver, respectively. The results obtained in the report are also compared with those of Stein (1955). (Author).

Book Classical and Quantal Calculations on Electron Capture

Download or read book Classical and Quantal Calculations on Electron Capture written by Robert A. Mapleton and published by . This book was released on 1967 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical and quantal nonrelativistic scattering between simple atomic systems is reviewed, and most approximations currently used in calculations on electron capture are discussed. The OBK interaction is generalized to include capture from neutral atoms by singly charged many-electron ions; the sum over the squares of the vector coupling coefficients is affected in the formula for the OBK cross section for p-orbital capture by protons into H(ns). The cross section for H(+) + H(1s) to H(Sigma n1) + H(+) at high impact energies is determined classically. The second Born amplitudes at high impact energies for H(+) + H(1s) to H(1s) + H(+) and H(+) + D(1s) to H(1s) + D(+) are evaluated approximately using the Green's function of the post Hamiltonian. Two modifications of Thomas' classical model for heavy atoms are proposed, and corresponding cross sections are calculated for H(+) + B to H(Sigma n1) + B(+) with B = O, N, Ne, A, Kr, Xe. A semiclassical theory is developed for charge transfer in alkali atom-alkali-ion collision at low impact velocities, and cross sections are obtained for H, Li, Na, K, Rb, Cs. OBK cross sections are calculated for s-orbital capture from He(1s(2)), N((4)S), O((3)P), and p-orbital capture from N((4)S), O((3)P), all for incident protons capturing into H(1s). Born prior and post cross sections are calculated for H(+) + O((3)P) to H(1s) + O(+)((4)S) and H(1s) + H(1s) to H( - )(1s(2)) + H(+).

Book Monthly Catalog of United States Government Publications Cumulative Index

Download or read book Monthly Catalog of United States Government Publications Cumulative Index written by United States. Superintendent of Documents and published by . This book was released on 1979 with total page 1250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Electron Capture from Atomic Nitrogen and Oxygen by Protons

Download or read book Electron Capture from Atomic Nitrogen and Oxygen by Protons written by R. A. Mapleton and published by . This book was released on 1965 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nuclear Science Abstracts

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975-02 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Nonlinear Terms in the Generalized Ohm s Law

Download or read book Nonlinear Terms in the Generalized Ohm s Law written by Noel Stone and published by . This book was released on 1965 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is shown that a spatial gradient in the steady flow of an ionized gas introduces terms into the generalized Ohm's law that represent an exchange of momentum between the electrons and the gas flow. Depending upon the flow geometry and gas compressibility this electrokinetic exchange can behave like a generator, a Hall current, or a resistive current. The scale of the phenomenon is L = +/V, where V is fluid velocity, + is electron-positive charge collision time. Electrokinetic conditions apply largely at boundaries. In a resistive medium with a static B-field, the principal condition for electron-flow interchange is that magnetic pressure dominate dynamic pressure. At the boundary of a plasma jet the scale over which EK terms are important is of the order of 1 mm. Only geometry and scale considerations are used in the momentum equation. The electrokinetic generation of surface currents is as fundamental for describing moving media as spacecharge effects are in the static case. (Author).

Book A Method for Estimating Atmospheric Noise Amplitudes and Phase Errors in Quenched High Q Receiving Circuits

Download or read book A Method for Estimating Atmospheric Noise Amplitudes and Phase Errors in Quenched High Q Receiving Circuits written by E. A. Lewis and published by . This book was released on 1965 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very narrow-band quenched filters used for studying VLF radio signals differ from conventional narrow-band circuits in that both signal and atmospheric noise impulses cause only brief quasi-sinusoidal outputs instead of a prolonged ringing. The random overlapping of these short noise and signal bursts can cause errors in phase measurements. It is shown that the distribution of phase errors can be calculated from the amplitude distribution of the output noise envelope. The properties of the phase distribution are discussed in detail, the computation required in the general case is illustrated by means of a numerical example. A simple 'time-sequential' method for experimentally obtaining typical amplitude distributions is suggested. (Author).