An l-window formalism for elastic heavy-ion scattering

Rowley, N.

doi:10.1088/0305-4616/6/6/008

Cited by 14 publications

(10 citation statements)

References 33 publications

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“…When we have a full PWS with J i = 0 and J f = J max , the term "window representation" is also used in the literature in a different, although related, context. 19,88,89 It is used when an exact rearrangement of the full PWS results in the main numerical contribution coming from a subset of S matrix elements -also called the window region. 19,88,89 Using the definition above, we can now write the window scattering amplitude for r…”

Section:  mentioning

confidence: 99%

Glories, hidden rainbows and nearside–farside interference effects in the angular scattering of the state-to-state H + HD → H₂ + D reaction

Xiahou

Connor

2021

Phys. Chem. Chem. Phys.

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Section:  mentioning

confidence: 99%

Glories, hidden rainbows and nearside–farside interference effects in the angular scattering of the state-to-state H + HD → H₂ + D reaction

Xiahou

Connor

2021

Phys. Chem. Chem. Phys.

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“…Appendix A deduces identities for the Hatchell NF resummed subamplitudes needed in section II. In Appendix B we derive an interesting result: the ''l window representation'', as used to analyse elastic scattering in the presence of strong absorption, 73,74 is a special case of the more general resummation theory presented in this paper.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of the I + HI → IH + I reaction: application of nearside–farside, local angular momentum and resummation theories using the Fuller and Hatchell decompositions

Totenhofer

Noli

Connor

2010

Phys. Chem. Chem. Phys.

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The differential cross section (DCS) for the I + HI(v(i) = 0, j(i) = 0) --> IH(v(f) = 0, j(f) = 2) + I reaction at a translational energy of 21.3 meV is studied, where v(i), j(i) and v(f), j(f) are vibrational, rotational quantum numbers for the initial and final states respectively. We apply new theoretical developments (since 2001) in nearside-farside (NF) theory to provide insights into intricate oscillatory structures in its DCS. It is shown that a simple physically-meaningful parameterization of the scattering (S) matrix, using a background Gaussian term plus a single Regge pole and a quadratic phase, can reproduce, in the forward and sideward directions, the intricate angular scattering obtained from numerical S matrix elements computed from a quantum Born-Oppenheimer-Centrifugal-Sudden scattering technique. This encouraging result suggests that many S matrix elements obtained from computer-intensive calculations can be parameterized in a similar physically-meaningful way. The manner in which the full and NF DCSs change when the Regge pole becomes progressively less important compared to the Gaussian term is also investigated. We report the first application to reactive scattering of the Hatchell NF decomposition, including resummations of the Legendre partial wave series for the scattering amplitude. The Hatchell NF resummed DCSs are compared with the corresponding Fuller NF resummed DCSs for resummation orders of r = 0, 1, 2 and 3. We find that the Fuller NF decomposition always provides a better physical interpretation of the angular scattering. Resummation usually cleans the NF DCSs of unphysical oscillations, especially in the farside (F) DCSs, with the greatest cleaning effect on going from no resummation (r = 0) to first order resummation (r = 1). Identities are derived which relate the Fuller and Hatchell NF subamplitudes for resummation orders, r > 0, to the NF unresummed subamplitudes, r = 0. These identities help us understand the origin of unexpected peaks, which sometimes appear in NF resummed DCSs, together with a simple procedure to remove them. We report Local Angular Momentum (LAM) and DCS x LAM (CLAM) analyses of the angular scattering for r = 0 and r = 1 using the Fuller NF decomposition. The LAM and CLAM analyses provide complementary (yet consistent) information to that obtained from the NF resummed DCSs. It is shown that the "l window representation", as used to analyse elastic scattering in the presence of strong absorption, is a special case of the general resummation theory developed in this paper.

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“…Our implementation of GCMC is based on well known techniques [6], with modifications to improve the sam-pling efficiency in a system with a free surface. In particular, taking inspiration from an idea previously used for bulk liquids [8], we have restricted attempts to create or destroy particles to a region near the surface, where they are much more likely to be accepted.…”

Section: Grand Canonical Monte Carlo Surface Simulation: Technical Dementioning

confidence: 99%

“…The acceptance probability of creation and destruction, p c and p d have then been finally normalized in the form [6]:…”

Section: Grand Canonical Monte Carlo Surface Simulation: Technical Dementioning

confidence: 99%

“…In other words, that surface will not even remain macroscopically homogeneous. Classical off-lattice GCMC [6] has so far be succesfully applied to simulate different systems such as capillary condensation in nanopores [7]. However difficulties appear when one tries to simulate a denser system [8] and the classical GCMC technique requires modifications.…”

Section: Introductionmentioning

confidence: 99%

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Realistic grand canonical Monte Carlo surface simulation: application to Ar(111)

et al. 1998

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Most realistic, off-lattice surface simulations are done canonically-conserving particles. For some applications, however, such as studying the thermal behavior of rare gas solid surfaces, these constitute bad working conditions. Surface layer occupancies are believed to change with temperature, particularly at preroughening, and naturally call for a grand canonical approach, where particle number is controlled by a chemical potential. We report preliminary results of novel realistic grand canonical Monte Carlo simulations of the Lennard-Jones (LJ) fcc(111) surface, believed to represent a quantitative model of e.g. Ar(111). The results are successful and highly informative for temperatures up to roughly 0.8 Tm, where clear precursor signals of preroughening are found. At higher temperatures, convergence to equilibrium is hampered by large fluctuations.

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An l-window formalism for elastic heavy-ion scattering

Cited by 14 publications

References 33 publications

Glories, hidden rainbows and nearside–farside interference effects in the angular scattering of the state-to-state H + HD → H₂ + D reaction

Glories, hidden rainbows and nearside–farside interference effects in the angular scattering of the state-to-state H + HD → H₂ + D reaction

Dynamics of the I + HI → IH + I reaction: application of nearside–farside, local angular momentum and resummation theories using the Fuller and Hatchell decompositions

Realistic grand canonical Monte Carlo surface simulation: application to Ar(111)

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An l-window formalism for elastic heavy-ion scattering

Cited by 14 publications

References 33 publications

Glories, hidden rainbows and nearside–farside interference effects in the angular scattering of the state-to-state H + HD → H2 + D reaction

Glories, hidden rainbows and nearside–farside interference effects in the angular scattering of the state-to-state H + HD → H2 + D reaction

Dynamics of the I + HI → IH + I reaction: application of nearside–farside, local angular momentum and resummation theories using the Fuller and Hatchell decompositions

Realistic grand canonical Monte Carlo surface simulation: application to Ar(111)

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Glories, hidden rainbows and nearside–farside interference effects in the angular scattering of the state-to-state H + HD → H₂ + D reaction

Glories, hidden rainbows and nearside–farside interference effects in the angular scattering of the state-to-state H + HD → H₂ + D reaction