(e, 2e) on hydrogen minus,

Abstract

For the first time theoretical predictions for (e, 2e) on a hydrogen minus, , target are presented. This study shows that the size and shape of the TDCS for this process is extremely sensitive to the form of the approximation used for the wavefunction. In particular, the TDCS is enormously model sensitive in the Bethe ridge region (when the recoil ion momentum is zero).

Electron detachment from the negative hydrogen ion by proton impact

“…It has recently been shown [26] that the terms V 2 and u φ do not play a very important role for transfer ionization in the H + -He collision at high energies. We shall assume that a similar conclusion would hold true in the present application of the MCB approximation to detachment (1). Therefore, the terms V 2 and u φ will hereafter be neglected in (25).…”

“…The role played by negative atomic hydrogen H − in three-body Coulombic bound systems is comparable to the central place reserved for neutral atomic hydrogen H in two-body quantum mechanics. Structural and collisional studies on this ion in atomic physics find a rich area of applications in astronomy, astrophysics, plasma physics and accelerator physics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. In the Sun's atmosphere, the negative atomic hydrogen ion represents a primary source of continuous opacity in the visible spectrum.…”

“…The neutral hydrogen H in the exit channel of ( 1) is assumed to be in a general bound state specified by the set {n, } of the principal (n) and angular ( ) momentum quantum numbers. The entrance and exit channels of reaction (1) will be designated by α and β, respectively. We adopt the nonrelativistic spin-independent formalism in which two electrons in (1) can be considered distinguishable from each other.…”

“…The matrix element ( 8) is appropriate for a charged projectile impinging on a neutral target, in which case φ α is the asymptotically correct α-channel state. However, this is not true for process (1) where the projectile and target are both charged, so that their Coulomb interaction must asymptotically yield χ + α instead of φ α . This fact requires the following reintroduction of the T -matrix:…”

Formation of negative hydrogen ion in positronium-hydrogen collisions

“…However, the correlated wave function is expected to be more suitable and in fact unavoidable for the two electron transition processes that are mainly governed by the e -e correlation [ 17,18 ] . Since the present work refers to single electron capture and the − H ion is formed in the final state, to our belief , the use of this simpler representation of the − H ion [ 4 ] which partly takes account of the e -e correlation [ 13,14 ] is quite justified and is supposed to give reasonable description of the physics of the target for this particular process where the electron is transferred from the Ps atom to the one electron target to form the − H ion in the final state. In fact , the choice of this simpler wave function is mainly dictated by the feasibility of the present calculation which is already quite involved for a four body problem.…”