Theoretical study of electron-ion resonant recombination of Be-like Si¹⁰⁺ ion

Theoretical investigations of L-shell Δn = 1 (2s → 3l) and 2 (2s → 4l) as well as K-shell Δn = 1 (1s → 2l) electron-ion resonant recombination for both the ground state (2s²¹S₀) and the long-lived metastable state (2s2p ³P₀) of Be-like Si¹⁰⁺ are performed. The calculations include not only the dominant dielectronic recombination (DR), but also high-order trielectronic (TR) and quadruelectronic recombination (QR) processes. Level-by-level calculations are performed for resonance energies and resonance strengths using the relativistic configuration interaction method. The theoretical rate coefficients are presented and compared with the experimental results measured at the heavy-ion storage ring TSR. When considering fractional populations of 93% and 7% for the ground state 2s²¹S₀ and the metastable state 2s2p ³P₀, the present rate coefficients agree well with the experimental measurements. The contributions of TR are important, which is about 9.26% to the total rate coefficient of L-shell recombination. The plasma rate coefficients are also calculated, and an analytical formula is presented for convenient modeling of astrophysical and fusion plasmas.