Ionization of atomic hydrogen and He<sup>+</sup>by slow antiprotons

Sahoo, Sudhakar; Mukherjee, Soumava; Walters, H. R. J.

doi:10.1088/0953-4075/37/16/001

Cited by 27 publications

(32 citation statements)

References 25 publications

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“…This procedure is continued until the parameter-dependent variation of the results is reduced to a level of less than one percent. (8). Another parameter that determines the accuracy of the target structure calculations is the number of quadrature points for integration within each bin.…”

Section: Details Of Calculationsmentioning

confidence: 99%

“…Finally, we also obtained convergent results with respect to the parameters associated with the projectile. The set of coupled differential equations (8) was solved by varying the z-component (z ≡ vt) of the projectile position from −200 to +200 a.u. at all energies.…”

Section: Details Of Calculationsmentioning

confidence: 99%

“…From a theoretical point of view, accurate and reliable modeling of the relevant processes over a wide range of projectile energies requires the development of sophisticated computational approaches. The prototype of ion-atom collisions, which served as a starting point for many theoretical approaches [3][4][5][6][7][8][9][10][11], is the collision of antiprotons with atomic hydrogen. In the regions of practical interest, this process can safely be considered without accounting for rearrangement channels that lead to protonium formation.…”

Section: Introductionmentioning

confidence: 99%

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Wave-packet continuum-discretization approach to single ionization of helium by antiprotons and energetic protons

et al. 2017

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The recently developed wavepacket continuum-discretization approach [Phys. Rev. A 94, 022703 (2016)] is extended to antiproton-helium collisions. The helium target is treated as a three-body Coulomb system using a frozen-core approximation, in which the electron-electron correlation within the target is accounted for through the static interaction. The Schrödinger equation for the helium target is solved numerically to yield bound and continuum states of the active electron. The resulting continuum state is used to construct wavepacket pseudostates with arbitrary energies. The energies of the pseudostates are chosen in a way that is ideal for detailed differential ionization studies. Twoelectron target wave functions, formed from the bound and continuum wavepacket states of the active electron and the 1s orbital of He + , are then utilized in the single-center semiclassical impactparameter close-coupling scheme. A comprehensive set of benchmark results, from angle-integrated to fully differential cross sections for antiproton-impact single ionization of helium in the energy range from 1 keV to 1 MeV is provided. Furthermore, we use our single-center convergent closecoupling approach to study fully differential single ionization of helium by 1 MeV proton impact. The calculated results are in good agreement with recent experimental measurements by Gassert et al. [Phys. Rev. Lett. 116, 073201 (2016)] for all considered geometries.

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Section: Details Of Calculationsmentioning

confidence: 99%

Section: Details Of Calculationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Wave-packet continuum-discretization approach to single ionization of helium by antiprotons and energetic protons

et al. 2017

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“…The accurate theoretical results can also be used to extract nuclear quadrupole moments. A number of additional calculations have been performed more recently [100,101,102].…”

Section: W ômentioning

confidence: 99%

Atoms through the looking glass – a relativistic challenge

Pendrill¹

2008

Can. J. Phys.

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Abstract:The search for weak-interaction induced atomic parity non-conservation, initiated in the 70s, challenges both theory and experiment. Since the weak interaction is very short-range, the atomic effects increase rapidly with nuclear charge, as ¢ ¡. The focus has thus been on heavy atoms, where relativistic effects are essential, and nuclear size must be taken into account. The generalization of atomic many-body methods to relativistic systems involved both computational and formal difficulties, incorporating methods developed in quantum electrodynamics. Twenty years ago, the ability was emerging to treat atomic pair correlation in a relativistic framework. The application to many-electron systems opened for comparison with many atomic properties, such as isotope shifts, hyperfine structure and hyperfine anomalies, which reflect nuclear properties. In addition, the search for simultaneous violation of both parity and time reversal symmetry involves different types of effects, including nuclear "Schiff moments". Comparison between computed and experimental results for highly charged hydrogen-like systems provides a test of the theoretical and numerical treatment of the electron-nucleus interaction and of the description of nuclear distributions.

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“…Solving the FPE numerically using the B-spline method is a new development. The B-spline approximation is a very powerful numerical technique and has been widely applied in atomic physics for the calculations of the electronic structure of atoms, ions and plasmas [42,43].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Gompertzian tumour growth under environmental fluctuations

Sahoo

Shearer

2010

Physica A: Statistical Mechanics and its Applications

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a b s t r a c tWe investigate the effect of correlated additive and multiplicative Gaussian white noise on the Gompertzian growth of tumours. Our results are obtained by solving numerically the time-dependent Fokker-Planck equation (FPE) associated with the stochastic dynamics. In our numerical approach we have adopted B-spline functions as a truncated basis to expand the approximated eigenfunctions. The eigenfunctions and eigenvalues obtained using this method are used to derive approximate solutions of the dynamics under study. We perform simulations to analyze various aspects, of the probability distribution, of the tumour cell populations in the transient-and steady-state regimes. More precisely, we are concerned mainly with the behaviour of the relaxation time (τ ) to the steady-state distribution as a function of (i) of the correlation strength (λ) between the additive noise and the multiplicative noise and (ii) as a function of the multiplicative noise intensity (D) and additive noise intensity (α). It is observed that both the correlation strength and the intensities of additive and multiplicative noise, affect the relaxation time.

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Ionization of atomic hydrogen and He⁺by slow antiprotons

Cited by 27 publications

References 25 publications

Wave-packet continuum-discretization approach to single ionization of helium by antiprotons and energetic protons

Wave-packet continuum-discretization approach to single ionization of helium by antiprotons and energetic protons

Atoms through the looking glass – a relativistic challenge

Dynamics of Gompertzian tumour growth under environmental fluctuations

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Ionization of atomic hydrogen and He+by slow antiprotons

Cited by 27 publications

References 25 publications

Wave-packet continuum-discretization approach to single ionization of helium by antiprotons and energetic protons

Wave-packet continuum-discretization approach to single ionization of helium by antiprotons and energetic protons

Atoms through the looking glass – a relativistic challenge

Dynamics of Gompertzian tumour growth under environmental fluctuations

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Product

Resources

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Ionization of atomic hydrogen and He⁺by slow antiprotons