Download or read book Asymptotic Form of the Electron Capture Cross Section in the Impulse Approximation written by R. A. Mapleton and published by . This book was released on 1964 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Asymptotic Form of the Electron Capture Cross Section in the Impulse Approximation written by R. A.. Mapleton and published by . This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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).
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.
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 0 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)
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:
Download or read book Differential cross sections for high energy electron capture in the impulse approximation written by J. S. Briggs and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Science Reports written by Saitama Daigaku and published by . This book was released on 1961 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Download or read book Advances in Atomic and Molecular Physics written by and published by Academic Press. This book was released on 1970-09-30 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Atomic and Molecular Physics
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:
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).
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(+).
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:
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:
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on with total page 1284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
