Hybrid Theory of Scattering and Its Applications

Bhatia, A. K.

doi:10.3390/atoms6020027

Cited by 4 publications

(2 citation statements)

References 46 publications

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“…Excitation of the 1S state of atomic hydrogen to the 2S state has been calculated using the hybrid theory in the distorted-wave approximation [23]. The total excitation cross section is written in the form Interactions of Positrons and Electrons with Hydrogenic Systems, Excitation, Resonances… DOI: http://dx.doi.org/10.5772/intechopen.91763…”

Section: Excitationmentioning

confidence: 99%

Interactions of Positrons and Electrons with Hydrogenic Systems, Excitation, Resonances, and Photoabsorption in Two-Electron Systems

Bhatia¹

2020

Recent Advances in Nanophotonics - Fundamentals and Applications

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There are a number of approaches to study interactions of positrons and electrons with hydrogenic targets. Among the most commonly used are the method of polarized orbital, the close-coupling approximation, and the R-matrix formulation. The last two approaches take into account the short-range and long-range correlations. The method of polarized orbital takes into account only long-range correlations but is not variationally correct. This method has recently been modified to take into account both types of correlations and is variationally correct. It has been applied to calculate phase shifts of scattering from hydrogenic systems like H, He + ,andLi 2+ . The phase shifts obtained using this method have lower bounds to the exact phase shifts and agree with those obtained using other approaches. This approach has also been applied to calculate resonance parameters in two-electron systems obtaining results which agree with those obtained using the Feshbach projection-operator formalism. Furthermore this method has been employed to calculate photodetachment and photoionization of twoelectron systems, obtaining very accurate cross sections which agree with the experimental results. Photodetachment cross sections are particularly useful in the study of the opacity of the sun. Recently, excitation of the atomic hydrogen by electron impact and also by positron impact has been studied by this method.

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Section: Excitationmentioning

confidence: 99%

Interactions of Positrons and Electrons with Hydrogenic Systems, Excitation, Resonances, and Photoabsorption in Two-Electron Systems

Bhatia¹

2020

Recent Advances in Nanophotonics - Fundamentals and Applications

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“…For high-energy scattering (far above the ionization threshold), perturbative approaches, e.g. the second-order Born [24], distorted-wave Born [25], continuum distorted-wave [26], and polarized orbital [27] methods can be applied reasonably well to capture the asymptotic behavior of the scattering wave function. So far these time-independent methods have produced accurate scattering amplitudes, phase shifts, and cross sections in the elastic, excitation, ionization, and Ps formation channels, for a variety of atoms and in a wide range of impact energies [3,4].…”

Section: Introductionmentioning

confidence: 99%

Quantum dynamics of positron-hydrogen scattering and three-body bound state formation with an assisting laser field: predictions of a reduced-dimensionality model

Ji,

Jiao,

Liu

et al. 2024

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

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We investigate the quantum dynamics of target excitation and positronium formation in the positron-hydrogen atom scattering without and with an external assisting laser ﬁeld within a reduced-dimensionality quantum model. Strong interference fringes between the incident and reﬂected positron wave packets are observed in the reaction region. We further investigate the critical behavior of transition probabilities near the channel-opening thresholds for hydrogen excitation and positronium formation, and ﬁnd a strong competition between channels with similar threshold energies but diﬀerent parities. The transmission ratios of the incident positron in diﬀerent reaction channels are calculated and it is shown that only positronium formation in the ground state prefers forward scattering. Our simulation of the positron-hydrogen scattering with an assisting laser ﬁeld indicates that the three-particle bound states can be formed during the collisions due to the photon emission induced by the external laser ﬁeld.

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Negative ion of hydrogen in dense semi-classical plasmas: Stability and zero-energy resonances

2021

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The effects of dense semi-classical plasma (DSCP) on the ground state of the negative ion of hydrogen (H−) and on the dynamics of electron–hydrogen scattering have been investigated. DSCP is described by an effective potential which takes care of the collective effects of the plasma at large distances as well as the quantum mechanical effects of diffraction at small distances. An elaborative wave function is employed in the Rayleigh–Ritz variational method to compute the ground state energy of H− for various values of the plasma parameters. In particular, critical values of the plasma parameters are calculated accurately to make a detailed study on the stability of the ion embedded in DSCP. Furthermore, parameters related to the ground state of H− and H are used in the effective range theory to study the effects of DSCP on the dynamics of low-energy e − H(1s) scattering. Special emphasis is given to investigate the phenomenon of zero-energy resonances by computing the singlet scattering length near the critical values of the plasma parameters.

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Hybrid Theory of Scattering and Its Applications

Cited by 4 publications

References 46 publications

Interactions of Positrons and Electrons with Hydrogenic Systems, Excitation, Resonances, and Photoabsorption in Two-Electron Systems

Interactions of Positrons and Electrons with Hydrogenic Systems, Excitation, Resonances, and Photoabsorption in Two-Electron Systems

Quantum dynamics of positron-hydrogen scattering and three-body bound state formation with an assisting laser field: predictions of a reduced-dimensionality model

Negative ion of hydrogen in dense semi-classical plasmas: Stability and zero-energy resonances

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