Resonances in electron–hydrogen scattering in Debye plasmas

Abstract

We have investigated the influence of Debye plasmas on resonance states in electron-hydrogen scattering using highly correlated exponential wavefunctions in the framework of the stabilization method. Resonance parameters (resonance positions and widths) below the N = 2 H threshold are reported for selected screening parameters. Critical values of the screening parameters are reported from which S, P, D Feshbach resonances are transformed to shape resonances. Behaviour of the resonance widths obtained from this work as a function of screening parameters is in agreement with the recently reported work for weaker screening, but not in close agreement with those for stronger screening.

Complete supermultiplet structures for the doubly excited intrashell resonances ofH−associated with the H (N=2, 3, and 4) thresholds

“…They are our most recent complex-scaling calculations with a Hylleraas-type basis function for the 1 S e and 1 P o Feshbach and shape resonances [46,47], the complex scaling in a Sturmian-type basis by Bürgers and Lindroth [38] for the same configurations, and the lifetime matrix analysis of Dunseath et al [37] for shape resonances with higher angular momenta. For Feshbach resonances, the stabilization calculation with an exponential correlated basis of Kar and Ho [48][49][50], the complex-eigenvalue Schrödinger equation prediction of Bylicki and Nicolaides [39][40][41][42][43], a 15-state R-matrix calculation by Pathak [51], and the bound-state-like calculation of Themelis et al [52] with a doubly excited symmetry basis are also included for comparison when they are available. For some of the 1,3 P e,o and 1,3 D e,o shape resonances associated [53].…”

Doubly excited states of the hydrogen negative ion and helium atom in astrophysical plasmas

“…33,35 Kar and Ho 36,37 reported the resonance parameters of H À and He as functions of Debye length using exponential correlated wave functions within the framework of the stabilization method. Chakraborty and Ho 38,39 confirmed the results of Kar and Ho, 36,37 using the complex co-ordinate rotation method.…”

“…In this work, we investigate the plasma screening effects on the doubly excited resonance states of the hydrogen negative ion (H À ) and helium atom in Lorentzian plasmas using highly correlated wave functions. The stabilization method [29][30][31][32][33][34][35] is used to extract resonance parameters. Results are presented as functions of spectral index and plasma screening parameter.…”

Positron impact excitations of hydrogen atom embedded in dense quantum plasmas: Formation of Rydberg atoms

“…Atomic excitation and ionization processes play an essential role in the interpretation of various phenomena associated with astrophysics, hot plasma physics, and experiments performed with charged ions. Of particular importance is the collision phenomena involving positrons, [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] because positron collisions have several important applications in diverse fields of astrophysics [24][25][26][27][28][29][30][31] and plasma physics. [32][33][34] Recently, the authors have investigated the effects of screening of weakly coupled plasma on the formation of Rydberg atoms due to the positron impact excitations of hydrogen atom.…”