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  • Electronic Resource  (5)
  • 1965-1969  (5)
Material
  • Electronic Resource  (5)
Years
Year
  • 1
    Electronic Resource
    Electronic Resource
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Nuclear and Particle Science 17 (1967), S. 129-188 
    ISSN: 0066-4243
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 187 (1965), S. 411-420 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In the classical collision theory the scattering angleϑ depends on the impact parameterb and on the kinetic energyE r of the relative motion. This angleϑ(b, E r ) is expanded for two limiting cases: 1. Expansion in powers of the potentialV(r)/E r (momentum approximation). 2. Expansion in powers of the impact parameterb (central collision approximation). The radius of convergence of the series depends onb andE r . It will be given for the following potentialsV(r): $$A\left( {\frac{a}{r}} \right)^\mu ;Ae^{ - \frac{r}{a}} ;A\frac{a}{r}e^{ - \frac{r}{a}} ;A\left( {\frac{a}{r}} \right)^2 e^{ - \left( {\frac{r}{a}} \right)^2 } .$$ . For case 1 ab-dependent criterion is deduced for the alternating of the series. Then the error is smaller than the first neglected term.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 218 (1969), S. 1-24 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The cross section for particle exchange from ground state to ground state in a three-particle collision is investigated. An asymptotic expansion for high incident energies can be given if the Fourier transforms of the interaction potentials allow an expansion in powers of 1/k for largek, which includes Coulomb interaction. It is shown that in general the first and second Born approximations provide the asymptotically leading terms. For special mass ratios, scattering into special (critical) angles becomes predominant. These angles, which are independent of energy, can also be determined employing classical arguments. Near the critical angles single terms of either the first or second Born approximation become dominant. If the exchanged mass is small, the interaction between the two heavy masses cancels near forward direction, implying the validity of the impact parameter theory. The results are discussed for Coulomb interaction as the simplest example (electron exchange). Here, the contributions by critical scattering are small unless the energies become exceedingly large.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 184 (1965), S. 521-526 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A simple approximation forn-quantum transitions between spin-Zeeman levels of protons is discussed giving the same result as the calculations of S.Wilking.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 210 (1968), S. 43-59 
    ISSN: 1434-601X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The high energy behaviour of the cross section for particle exchange in a three particle collision is investigated for arbitrary masses and a rather general class of potentials. For convenience we use a linear model. It is shown that in general the first and second Born approximation provide the leading terms for high energies. If the exchanged mass is “small” the interaction between the two heavy masses cancels. The wave treatment and the impact parameter version give identical results. For particular mass ratios either the first or the second Born approximation provides the leading term. Then even backscattering can be dominant. The high energy results agree with the asymptotic expansion for two exactly solvable cases.
    Type of Medium: Electronic Resource
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