Doubly excited^1,3P^emeta-stable bound states and resonance states of helium in weakly coupled plasmas

Abstract

The doubly excited 1,3 P e meta-stable bound states and resonance states of helium embedded in weakly coupled plasmas are calculated using Slater orbital basis functions. The plasma effects are taken care of by using the screened Coulomb potential obtained from the Debye model. We have calculated the 2pnp 1 P e (n = 3, 4) and 2pnp 3 P e (n = 2, 3, 4) meta-stable bound state energies of He in plasmas for various Debye lengths. In addition, a total of ten resonances (five each for 1 P e and 3 P e states) below the N = 3 He + thresholds has also been obtained by calculating the density of states using a stabilization method. For the 1 P e states, this includes three members from the 3pnp (n = 4, 5, 6) series, and two members from the 3dnd (n = 4, 5) series. For the 3 P e state, this includes three members from the 3pnp (n = 3, 4, 5) series, and two members from the 3dnd (n = 3, 4) series. The resonance energies and widths for the 1,3 P e resonances for different screening parameters below the He + (3S) threshold are reported along with the eigen-energies of the 1,3 P e meta-stable bound states lying below the He + (2S) threshold.

Doubly excited1,3Peresonance states of helium and the hydrogen negative ion interacting with Coulomb and screened Coulomb potentials

“…In the case of the screened helium atom, we compare our present results using correlated basis functions with those reported by us using CI-type basis functions [19]. In the present work, using correlated basis functions, we have obtained two series of resonance states of He, of which the 3dnd series shows some interesting behaviors in between the 3S and 3P thresholds of the He + ion.…”

“…In the past several years, we have initiated resonance calculations for different atomic and molecular systems [2,9,18]. We have also studied the doubly excited 1,3 P e resonance states of He interacting with screened Coulomb interactions using configuration interaction (CI)-type wave functions with some approximation in the atomic Hamiltonian [19]. In the present work, our main interest is to report the behavior of the 1,3 P e resonance parameters of helium in the stronger screening region and the 1,3 P e resonance states of the hydrogen negative ion interacting with screened Coulomb potentials using correlated wave functions.…”

Energies and transition wavelengths for Li II, Be III, B IV, C V embedded in Debye plasmas

“…6,10 In our earlier works, we reported the doubly excited P, D, G, F states energies of helium atom embedded in plasma environments. 5,47,48 In the present work, we have studied the doubly excited nonautoionizing P, D states of plasma embedded helium-like ions (Z ¼ 3-6) using the Ritz variational principle to obtain precise values of the 2p 2 3 P e , 2p3p 1 P e , and 2p3d 1,3 D o states energies and wavelengths for 2p3p 1 P e ! 2p3d 1 D o , 2p 2 3 P e !…”

Comment on “Doubly excited bound and resonance (3Pe) states of helium”

“…We have also reoptimized our calculation on the 2p 2 3 P e and 2p3p 3 P e state energies of the helium atom with an increasing number of basis terms [4,5]. Several theoretical works have been reported on the metastable bound 2p 2 3 P e states of helium [6][7][8][9][10][11][12][13][14][15]. The 3 P e resonance energies of He below the N = 3 He + threshold have also been reported [15].…”

“…Owing to experimental interest in 3 P e states, and to the discrepancy of a recent work [1] with previously published work [2], it is important to reinvestigate the doubly excited 3 P e states using a different type of correlated wave function. Details on the doubly excited nonautoionizing and autoionizing states can be found in earlier works [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”