Antihydrogen formation in low-energy antiproton collisions with excited-state positronium atoms

Kadyrov, Alisher; Rawlins, C. M.; Charlton, M.; Fabrikant, I. I.; Bray, Igor

doi:10.1007/s10751-018-1519-x

Cited by 3 publications

(8 citation statements)

References 51 publications

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“…Thus the main features of the dynamics of the collision are well described by classical physics down to very low energy and low n Ps and, as anticipated, it appears that, for n Ps 3, there is no quantum suppression of the anti-hydrogen production process related to a different scaling law of the classical and quantum cross section at low velocity as is suggested instead [13,14].…”

Section: Scaling Lawsupporting

confidence: 60%

“…Cross sections for H ¯production in collisions of slow (sub-eV energy in the centre of mass) Ps atoms in excited states with low principal quantum numbers (n 5 Ps  ) with p ōbtained using a full quantum mechanical approach (convergent close-coupling -CCC; see appendix B) have become available [13,14]. Results obtained with a similar method for n Ps =2, 3 were previously reported in [17].…”

Section: Scaling Lawmentioning

confidence: 88%

“…The goal of this paper is to compare the values of σ obtained with quantum and classical calculations. Quantum calculations extending up to n Ps =5 reported in [13] and [14] show results in the aforementioned low-energy collision regime and indicate a different scaling law than the classical and quantum cross sections. In particular the authors of [13] and [14] suggest that the quantum mechanical cross section grows at n E Ps cm 2 rather than at n E Ps cm 4…”

mentioning

confidence: 89%

“…, which is the behaviour expected from CTMC calculations. The authors of [13] and [14] interpreted this observation as a sign of quantum suppression. We show here that in the abovementioned lowenergy range, the classical treatment of the collision dynamic between Ps and p ¯predicts indeed the same energy dependence of the cross section obtained with the quantum method and also the same scaling law as a function of the principal quantum numbers of Ps.…”

mentioning

confidence: 99%

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Comparison of classical and quantum models of anti-hydrogen formation through charge exchange

Krasnický

Testera

Zurlo

2019

J. Phys. B: At. Mol. Opt. Phys.

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We compare classical and quantum predictions of the cross section for anti-hydrogen formation by charge exchange between Rydberg positronium and antiprotons as a function of the positronium energy. We show that these two highly different approaches furnish the same scaling law with the principal quantum number of positronium nPs and numerical values in agreement within some tens of percent for and down to very low collision energy of tens of μeV. We discuss these results in the context of a recently claimed hypothesis of quantum suppression of the reaction driven by supposedly different scaling law of classical and quantum predictions. Finally we underline how the basic agreement between classical and quantum results enforces the reliability of the classical calculations that, presently, are the only ones able to obtain the cross section for positronium initially in high Rydberg states and in the presence of external electric and magnetic fields.

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Section: Scaling Lawsupporting

confidence: 60%

Section: Scaling Lawmentioning

confidence: 88%

mentioning

confidence: 89%

mentioning

confidence: 99%

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Comparison of classical and quantum models of anti-hydrogen formation through charge exchange

Krasnický

Testera

Zurlo

2019

J. Phys. B: At. Mol. Opt. Phys.

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“…The description of CCC calculations are extensively described in references [11,12]. For specific applications of the CCC theory to the problem of interest see [13,14,20]. In CTMC calculations we follow a methodology similar to that described in reference [16] and use the microcanonical distribution [19,21] for initial states.…”

Section: Dependence On the Impact Parametermentioning

confidence: 99%

Charge transfer in positronium–proton collisions: comparison of classical and quantum-mechanical theories

Ambalampitiya

Fursa

Kadyrov

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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Charge transfer in positronium–proton collisions is calculated using the quantum-mechanical convergent close-coupling method and classical trajectory Monte-Carlo method. Previous calculations revealed that at low incident energy the cross section in both theories scales as , where nPs and EPs are the principal quantum number and the center-of-mass energy of the incident positronium atom, respectively. However, the quantum cross section is systematically lower than classical one in absolute magnitude. To investigate the origin of this quantum suppression effect, we compare the charge transfer probabilities as functions of the impact parameter. We show that the quantum suppression in the cross section is mainly due to the low-impact parameter behavior of the probabilities governed by the quantum uncertainty principle.

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Positron-hydrogen scattering: internal consistency and threshold behaviour for excited states

Bray,

Kalinkin,

Fursa

et al. 2023

Eur. Phys. J. D

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Antihydrogen formation in low-energy antiproton collisions with excited-state positronium atoms

Cited by 3 publications

References 51 publications

Comparison of classical and quantum models of anti-hydrogen formation through charge exchange

Comparison of classical and quantum models of anti-hydrogen formation through charge exchange

Charge transfer in positronium–proton collisions: comparison of classical and quantum-mechanical theories

Positron-hydrogen scattering: internal consistency and threshold behaviour for excited states

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