Radiative double-electron capture by bare nucleus with emission of one photon

Dual kinetic balance (DKB) technique was previously developed to eliminate spurious states in the finite-basis-set-based solution of the Dirac equation in central fields. In the present paper, it is extended to the Dirac equation for systems with axial symmetry. The efficiency of the method is demonstrated by the calculation of the energy spectra of hydrogenlike ions in presence of static uniform electric or magnetic fields. In addition, the DKB basis set is implemented to solve the timedependent Dirac equation making use of the split-operator technique. The excitation and ionization probabilities for the hydrogenlike argon and tin ions exposed to laser pulses are evaluated.

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“…With H 0 and S substituted from equations ( 23) and (24), respectively, the time-dependent Dirac equation (31) takes the form:…”

Section: This Workmentioning

confidence: 99%

“…This method is called the dual kinetic balance (DKB) approach. The efficiency of the DKB method was proved by the calculations of various relativistic and QED effects in atomic systems [18][19][20][21][22][23][24][25][26][27]. In the present work, the DKB method is generalized to the Dirac equation for systems with axial symmetry.…”

Section: Introductionmentioning

confidence: 97%

Dual-kinetic-balance approach to the Dirac equation for axially symmetric systems: Application to static and time-dependent fields

et al. 2014

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“…RDEC can be used to cleanly study electron correlation if the electrons are captured to a bare projectile ion, since the two captured ions are not influenced by the neighboring electrons. RDEC has been studied experimentally [9][10][11][12][13] and theoretically [14][15][16][17][18][19][20] for more than two decades, and the first successful measurement [11] was reported in 2010 for 2.38 MeV/u O 8+ ions colliding with a thin foil carbon target. Both the REC and RDEC processes are illustrated in Figure 1.…”

Section: Introductionmentioning

confidence: 99%

Observation of radiative double electron capture for

et al. 2019

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Radiative double electron capture (RDEC), occurring when two electrons are captured to a projectile ion with the simultaneous emission of a single photon, has been investigated. RDEC can be considered as the time inverse process of double photoionization. Strong evidence for RDEC is found in F 9+ + N 2 collisions, and additionally for one-electron F 8+ for which the probability for the process is expected to be considerably smaller. Preliminary values for the cross sections for RDEC have been determined. A significant advantage of the gas target is that multiple collision effects seen for a solid target are avoided due to the single collision conditions that prevail for gas targets.

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“…The emitted photon has approximately double the energy of the photon emitted due to REC. RDEC was first predicted by Mirag lia and Gravielle [5] and has been addressed over more than two decades theoretically [6][7][8][9][10][11][12] and experimentally [13][14][15][16][17][18]. Using bare ions as projectiles in the RDEC experiments allo ws the target electrons to be transferred without interaction with projectile electrons, enabling accurate investigation of the electron-electron interaction during the process.…”

Section: Introductionmentioning

confidence: 99%

Single-photon emission associated with double electron capture inF9++Ccollisions

et al. 2016

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Radiat ive double electron capture (RDEC), the one-step process occurring in ion-atom collisions, has been investigated for bare fluorine ions collid ing with carbon. RDEC is completed when two target electrons are captured to a bound state of a projectile s imu ltaneously with the emission of a single photon. This work is a follow-up to our earlier measurement of RDEC for bare o xygen projectiles, thus providing a recipient system free of electron-related Coulo mb fields in both cases and allowing for the compar ison between the two collision systems as well as with available theoretical studies. The most significant mechanisms of xray emission that may contribute to the RDEC energy region as background processes are also addressed.

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Radiative double-electron capture by bare nucleus with emission of one photon

Cited by 4 publications

References 22 publications

Dual-kinetic-balance approach to the Dirac equation for axially symmetric systems: Application to static and time-dependent fields

Dual-kinetic-balance approach to the Dirac equation for axially symmetric systems: Application to static and time-dependent fields

Observation of radiative double electron capture for

Single-photon emission associated with double electron capture inF9++Ccollisions

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