Showing papers by "Herman Feshbach published in 1952"
TL;DR: The total cross section and differential cross section for the inelastic scattering of neutrons are considered in this article, where it is assumed that the compound nucleus is sufficiently excited so that the statistical model may be applied.
Abstract: The total cross section and the differential cross section for the inelastic scattering of neutrons are considered. It is assumed that the compound nucleus is sufficiently excited so that the statistical model may be applied. If the statistical model may be applied as well to the residual nucleus, it is shown that the angular distribution of the inelastically scattered neutrons is isotropic. If only a few levels of the target nucleus can be excited, the angular distribution is anisotropic. Tables are provided which permit the calculation of the angular distribution if the incident and emergent neutron angular momenta are less than or equal to $3\ensuremath{\hbar}$. Examples of the evaluation of total cross sections are given, providing examples of the sensitivity of the results to the quantum numbers of the excited state.
1,609 citations
TL;DR: In this article, the binding energy of the triton has been calculated by the variational method, where the forces between the particles are assumed to be charge independent and to be composed of central and tensor parts, the radial dependence of each being given by Yukawa wells.
Abstract: The binding energy of the triton has been calculated by the variational method. The forces between the particles are assumed to be charge independent and to be composed of central and tensor parts, the radial dependence of each being given by Yukawa wells. The binding energy calculation is employed to determine the range of the tensor component; the other constants are fixed by the low energy two-body data. The effective triplet range, the percentage $D$ state in the triton, and the Coulomb energy of ${\mathrm{He}}^{3}$ are then predicted. The first two of these are in satisfactory agreement with experiment; the third is in error by twentyfive percent. The final "best" potential contains only four constants, the ranges and depths of the central and tensor potentials. The triplet and singlet central forces are equal.
47 citations
TL;DR: The Mott series for the Coulomb scattering of electrons and positrons of high energy is summed numerically for angles varying from 30\ifmmode^\circ\else\textdegree\fi{} to 150\ifmode^ \circ\except\text degree\fi {} and for nuclear charge varying from 13 to 80.
Abstract: The Mott series for the Coulomb scattering of electrons and positrons of high energy is summed numerically for angles varying from 30\ifmmode^\circ\else\textdegree\fi{} to 150\ifmmode^\circ\else\textdegree\fi{} and for nuclear charge varying from 13 to 80.
37 citations
TL;DR: In this paper, the meson spectrum at a given angle to the incident photon beam is evaluated at high photon energies by the closure approximation, but the neutron-neutron force in the final nucleon state is neglected.
Abstract: The production of positive mesons by photons incident on deuterium is calculated in terms of an effective Hamiltonian containing one term which is independent of and another which depends upon the nucleon spin. The meson spectrum at a given angle to the incident photon beam is evaluated at high photon energies by the closure approximation. At low and intermediate energies the closure approximation is not made, but the neutron-neutron force in the final nucleon state is neglected. These spectra have been integrated over a bremsstrahlung spectrum. The total cross section is found at high photon energies and near the threshold for meson production. It is found that the meson spectrum for small angles is sensitive to the relative size of the spin dependent and spin independent terms.
18 citations
TL;DR: In this paper, a variational principle is presented for the phase shifts of a central force scattering problem, which is applicable to states of higher angular momentum and depends explicitly on the "inside" wave function only.
Abstract: A variational principle is presented for the phase shifts ${\ensuremath{\delta}}_{l}$ of a central force scattering problem. This generalizes the principles of Schwinger and Hulth\`en for $S$-state scattering in that (a) it is applicable to states of higher angular momentum, and (b) it depends explicitly on the "inside" wave function only. The Born approximation may be obtained with the choice of an appropriate trial function. Illustrative calculations have been made for the $S$- and $P$-state scattering states for an exponential well nucleon-nucleon interaction potential. A simple one-parameter trial function was utilized. The results are in excellent agreement with previously given exact calculations.
11 citations