Erratum: Measurements of the Neutron-Proton and Neutron-Carbon Cross Sections at Electron Volt Energies

Abstract

Phys. Rev. 124, 519 (1961). T105 J. M. Trischuk and E. Kankeleit, Nucl. Phys. A90, 33 (i967). T106 E. A. Plassmann and L. M. Langer, Phys. Rev. 96, 1593 (i954) .

Determination of low-energy parameters of neutron-proton scattering on the basis of modern experimental data from partial-wave analyses

“…For the phase shifts of the Nijmegen group, this correction is negative and, in absolute value, is an order of magnitude smaller than the correction in ( Houk [12], and the experimental coherent-scattering-length value obtained by Houk and Wilson [9,10], f = −3.756(9) fm ,…”

“…Table 3 presents values obtained in a number of previous studies [9,10,13,18,21,22,[24][25][26][27][28] for the scattering lengths and effective ranges in the triplet and singlet spin states. All of them have been used as experimental values.…”

“…The coherent scattering length f , which is determined by relation (3), is found either from experiments where slow neutrons are scattered by pure para-hydrogen [8,14,15] or by crystals [16] or -and this is a more precise method -from experiments where neutrons are reflected by a liquid mirror and where use is made of a number of pure hydrocarbons [9,10,[17][18][19][20][21][22]. Also, a method for determining the coherent scattering length by means of neutron interferometry from experiments to study neutron scattering on molecular hydrogen was proposed in [23].…”

“…A number of significant simplifications and approximations are made in solving this problem [6]. A compendium of experimental results from [7][8][9][10][11][12][13] on the total cross section for the scattering of zero-energy neutrons by free protons, σ 0 , is given in Table 1.…”

Binding energy of3H andn−d doublet scattering length with charge-dependent forces

“…Best established is the charge-dependence in the 1S 0 state in which the n --p potential is about 2 ~ more attractive than the n-n potential (see, e.g., [10]). This conclusion is based on a comparison between the values of the n--p singlet scattering length and effective range [11], * An exception ate some of the results obtained in [7] and [8]. However, some of the two-body potentials applied in [8] have also been applied in [9] with the resuhing values for E T and 2a which differ from those of [8].…”