Electron-positron pair creation with capture and ionization in relativistic heavy-ion collisions by the finite-difference method

Thiel, Joachim; Bunker, Alex; Momberger, K.; Grün, N.; Scheid, W.

doi:10.1103/physreva.46.2607

Cited by 30 publications

(19 citation statements)

References 26 publications

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“…A considerable number of approaches has been developed to attack this problem, we refer the readers to the review article by Greiner & Reinhardt [142] Fig. 62 shows the result of a calculation in which the time-dependent two-center Dirac equation was solved with a finite-difference method (Thiel et al [367]). The calculation demonstrates that the mean binding energy increases very strongly and well exceeds the critical value 2m e c 2 .…”

Section: Numerical Simulationsmentioning

confidence: 99%

The Blackholic energy and the canonical Gamma-Ray Burst

Ruffini¹,

Bernardini²,

Bianco³

et al. 2007

AIP Conference Proceedings

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Abstract. Gamma-Ray Bursts (GRBs) represent very likely "the" most extensive computational, theoretical and observational effort ever carried out successfully in physics and astrophysics. The extensive campaign of observation from space based X-ray and γ-ray observatory, such as the Vela, CGRO, BeppoSAX, HETE-II, INTEGRAL, Swift, R-XTE, Chandra, XMM satellites, have been matched by complementary observations in the radio wavelength (e.g. by the VLA) and in the optical band (e.g. by VLT, Keck, ROSAT). The net result is unprecedented accuracy in the received data allowing the determination of the energetics, the time variability and the spectral properties of these GRB sources. The very fortunate situation occurs that these data can be confronted with a mature theoretical development. Theoretical interpretation of the above data allows progress in three different frontiers of knowledge: a) the ultrarelativistic regimes of a macroscopic source moving at Lorentz gamma factors up to ∼ 400; b) the occurrence of vacuum polarization process verifying some of the yet untested regimes of ultrarelativistic quantum field theories; and c) the first evidence for extracting, during the process of gravitational collapse leading to the formation of a black hole, amounts of energies up to 10 55 ergs of blackholic energy -a new form of energy in physics and astrophysics. We outline how this progress leads to the confirmation of three interpretation paradigms for GRBs proposed in July 2001. Thanks mainly to the observations by Swift and the optical observations by VLT, the outcome of this analysis points to the existence of a "canonical" GRB, originating from a variety of different initial astrophysical scenarios. The communality of these GRBs appears to be that they all are emitted in the process of formation of a black hole with a negligible value of its angular momentum. The following sequence of events appears to be canonical: the vacuum polarization process in the dyadosphere with the creation of the optically thick self accelerating electron-positron plasma; the engulfment of baryonic mass during the plasma expansion; adiabatic expansion of the optically thick "fireshell" of electronpositron-baryon plasma up to the transparency; the interaction of the accelerated baryonic matter with the interstellar medium (ISM). This leads to the canonical GRB composed of a proper GRB (P-GRB), emitted at the moment of transparency, followed by an extended afterglow. The sole parameters in this scenario are the total energy of the dyadosphere E dya , the fireshell baryon loading M B defined by the dimensionless parameter B ≡ M B c 2 /E dya , and the ISM filamentary distribution around the source. In the limit B → 0 the total energy is radiated in the P-GRB with a vanishing contribution in the afterglow. In this limit, the canonical GRBs explain as well the short GRBs. In these lecture notes we systematically outline the main results of our model comparing and contrasting them with the ones in the current literature. In both cases, we have li...

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Section: Numerical Simulationsmentioning

confidence: 99%

The Blackholic energy and the canonical Gamma-Ray Burst

Ruffini¹,

Bernardini²,

Bianco³

et al. 2007

AIP Conference Proceedings

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“…For excitation and ionization such a calculation has been performed by Becker et al [23], where the differential Operators were replaced by finite differences. An extension to pair creation is presented by Thiel et al [24]. One difficulty in performing this procedure is introduced by the finite grid size and by the finite number of grid points.…”

Section: Introductionmentioning

confidence: 99%

Ionization and pair creation in relativistic heavy-ion collisions

1993

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Ionization, pair creation, and electron excitations in relativistic heavy-ion collisions are investigated in the framework of the coupled-channel formalisrn. Collisions between heavy projectiles and pb8*+ are considered for various bombarding energies in the region E =500 up to 2000 MeV/u. Useful symmetry relations for the matrix elements are derived and the influence of gauge transformations onto the coupled-channel equations is explored. PACS nurnber(s): 34.90. +q, 36.10.Dr,

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“…To date many approaches were employed to treat such collisions [2][3][4][5][6][7][8][9][10][11][12][13][14]. In our previous work [14,15] a method of solving the timedependent Dirac equation in the basis of atomic-like Dirac-Fock-Sturm orbitals was developed.…”

Section: Introductionmentioning

confidence: 99%

Relativistic calculations of charge transfer probabilities inU⁹²⁺–U⁹¹⁺(1s)collisions using the basis set of cubic Hermite splines

Maltsev¹,

Deyneka²,

Tupitsyn³

et al. 2013

Phys. Scr.

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Electron-positron pair creation with capture and ionization in relativistic heavy-ion collisions by the finite-difference method

Cited by 30 publications

References 26 publications

The Blackholic energy and the canonical Gamma-Ray Burst

The Blackholic energy and the canonical Gamma-Ray Burst

Ionization and pair creation in relativistic heavy-ion collisions

Relativistic calculations of charge transfer probabilities inU⁹²⁺–U⁹¹⁺(1s)collisions using the basis set of cubic Hermite splines

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Electron-positron pair creation with capture and ionization in relativistic heavy-ion collisions by the finite-difference method

Cited by 30 publications

References 26 publications

The Blackholic energy and the canonical Gamma-Ray Burst

The Blackholic energy and the canonical Gamma-Ray Burst

Ionization and pair creation in relativistic heavy-ion collisions

Relativistic calculations of charge transfer probabilities inU92+–U91+(1s)collisions using the basis set of cubic Hermite splines

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Relativistic calculations of charge transfer probabilities inU⁹²⁺–U⁹¹⁺(1s)collisions using the basis set of cubic Hermite splines