Relativistic calculations of the U91+(1s)–U92+ collision using the finite basis set of cubic Hermite splines on a lattice in coordinate space

Deyneka, G. B.; Maltsev, I. A.; Tupitsyn, I. I.; Shabaev, V. M.; Bondarev, A. I.; Kozhedub, Y. S.; Plunien, G.; Stöhlker, Thomas

doi:10.1140/epjd/e2013-40441-6

Cited by 5 publications

(9 citation statements)

References 53 publications

(69 reference statements)

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“…For these studies, more elaborated full three-dimensional methods are needed. To date, such methods have been developed for calculations of the electron-excitation and charge-transfer probabilities only [17][18][19][20][21][22]. The extension of these methods to calculations of pair-production probabilities is one of the main goals of our future work.…”

Section: Discussionmentioning

confidence: 99%

“…For the central field (17), the Dirac wave function can be written as and /Vmon (r,t) + me -J r + 7 \ H{t)=\ (21) V Tr + 7 Knon(cO -meJ is the radial Dirac Hamiltonian. For large nuclear separation, the one-electron energy levels of the monopole Hamiltonian H(t) are quite different from the real two-center ones.…”

Section: A Pair Creation In External Fieldmentioning

confidence: 99%

“…We solve the system (24) employing the iterative biconjugate gradient squared (BiCGS) algorithm [32], It should be noted that the Crank-Nicolson method conserves the norm of the wave function at each time step [21]. In order to obtain the initial states, one can start from the variational principle…”

Section: Dirac Equation In a Finite Basis Setmentioning

confidence: 99%

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Electron-positron pair creation in low-energy collisions of heavy bare nuclei

et al. 2015

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A method for calculations of electron-positron pair-creation probabilities in low-energy heavy-ion collisions is developed. The approach is based on the propagation of all one-electron states via the numerical solving of the time-dependent Dirac equation in the monopole approximation. The electron wave functions are represented as finite sums of basis functions constructed from B-splines using the dual-kinetic-balance technique. The calculations of the created particle numbers and the positron energy spectra are performed for the collisions of bare nuclei at the energies near the Coulomb barrier with the Rutherford trajectory and for different values of the nuclear charge and the impact parameter. To examine the role of the spontaneous pair creation, the collisions with a modified velocity and with a time delay are also considered. The obtained results are compared with the previous calculations and the possibility of observation of the spontaneous pair creation is discussed.

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Section: Discussionmentioning

confidence: 99%

Section: A Pair Creation In External Fieldmentioning

confidence: 99%

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Electron-positron pair creation in low-energy collisions of heavy bare nuclei

et al. 2015

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“…Taking into account that for the processes under consideration P ≪ 1, we will refer to this value as the paircreation probability. For the calculations of n k andn p it is convenient to use the finite basis set method [39,40,[42][43][44]51,52]. With this method, one gets a spectrum consisting of a finite number of states, including both bound and continuum (positiveand negative-energy) pseudostates.…”

Section: A General Formalismmentioning

confidence: 99%

“…To carry out these studies, first of all it was necessary to develop the theoretical and computational methods beyond the approximation made by the Frankfurt group. To this end, more than a decade ago new efforts have been initiated by the St. Petersburg group [37][38][39][40][41][42][43][44]. These methods allowed the calculations of the charge-transfer, electron-excitation, ionization, and pair-production processes.…”

Section: Introductionmentioning

confidence: 99%