Proton-beam stopping in hydrogen

Abstract

The stopping cross section for protons passing through hydrogen is calculated for the energy range between 10 keV and 3 MeV. Both the positive and neutral charge-states of the projectile are accounted for. The two-centre convergent close-coupling method is used to model proton collisions with hydrogen. In this approach electron-capture channels are explicitly included by expanding the scattering wave function in a basis of both target and projectile pseudostates. Hydrogen collisions with hydrogen are modelled using two methods: the single-centre convergent close-coupling approach is used for the calculation of one-electron processes, while two-electron processes are calculated using the Born approximation. The aforementioned approaches are also applied to the calculation of the charge-state fractions. These are then used to combine the proton-hydrogen and hydrogen-hydrogen stopping cross sections to yield the total stopping cross section for protons passing through hydrogen.

Ionization Cross Sections in the Collision between Two Ground State Hydrogen Atoms at Low Energies

“…Figure 2 shows our total cross sections of the single electron loss of the projectile as a function of impact energy in comparison with the calculation of Bailey, et al [14], and with the experimental data of Wittkower, et al [15] and McClure [16]. Bailey et al used a single-center convergent close coupling (CCC) approach for the calculation of one-electron processes and the first Born approximation for the calculation of two-electron processes (B2e).…”

“…Red solid line: projectile ionization cross sections as a result of the sum of the one-step and two-step processes (CTMC EL). Dark brown double-dotted dashed line: the CCC+B2e calculations by Bailey et al[14]. Dark green dashed dotted line: Born calculations for total electron loss (Born EL).…”

Interstellar Gas Heating by Primordial Black Holes

“…The heat deposited is limited by the value of the energy loss per unit length x stopping power dE/dx = nS(E), which we take from Ref. [92] (see their Fig. 9),…”

Electron transfer in proton‐hydrogen collisions in nonideal classical plasmas

“…Over past few decades, the scattering of proton from hydrogen atom has been investigated quite elaborately [ 10–34 ] (and further references therein) by applying various techniques. Particular emphasis was given to obtain cross sectional data quite accurately for low to lower incident proton energies.…”