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International Journal of Modern Physics B

Investigating scattering properties of 20Ne–40Ar atoms mixture in the temperature range 90–120 K

Abdulrahman Akour, Emad Jaradat, Mohamed K. Al-Sugheir

Published Aug 7, 2026• 0 citations
Publisher

Abstract

Galitskii–Migdal–Feynman (GMF) model is employed to compute the total scattering cross section [Formula: see text] and the viscosity scattering cross section [Formula: see text] for a mixture of [Formula: see text]Ne and [Formula: see text]Ar atoms over a temperature range 90–120 K and at various number densities. Both [Formula: see text] and [Formula: see text] are determined as a function of relative momentum at different temperatures and densities. It is observed that, at higher density, both cross sections exceed their corresponding values at lower density. The influence of temperature on [Formula: see text] and [Formula: see text] is also examined to investigate the thermal effects on transport properties; no significant temperature-induced variation is detected between 90 and 120 K. Additionally, the contribution of partial scattering waves is analyzed. The results reveal a rich resonance spectrum with multiple sharp peaks corresponding to different partial waves. At low energy, the S-wave dominates the scattering. As the relative momentum increases, a D-wave resonance emerges. With further increase in relative momentum, additional quasi-states corresponding to [Formula: see text], [Formula: see text] and [Formula: see text] are also observed. Finally, the average values of [Formula: see text] and [Formula: see text] are computed as a function of temperature: [Formula: see text] decreases with increasing temperature, whereas [Formula: see text] shows a slight increase.

DOI
10.1142/s0217979226502322

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Galitskii–Migdal–Feynman (GMF) model is employed to compute the total scattering cross section [Formula: see text] and the viscosity scattering cross section [Formula: see text] for a mixture of [Formula: see text]Ne and [Formula: see text]Ar atoms over a temperature range 90–120 K and at various number densities. Both [Formula: see text] and [Formula: see text] are determined as a function of relative momentum at different temperatures and densities. It is observed that, at higher density, both cross sections exceed their corresponding values at lower density. The influence of temperature on [Formula: see text] and [Formula: see text] is also examined to investigate the thermal effects on transport properties; no significant temperature-induced variation is detected between 90 and 120 K. Additionally, the contribution of partial scattering waves is analyzed. The results reveal a rich resonance spectrum with multiple sharp peaks corresponding to different partial waves. At low energy, the S-wave dominates the scattering. As the relative momentum increases, a D-wave resonance emerges. With further increase in relative momentum, additional quasi-states corresponding to [Formula: see text], [Formula: see text] and [Formula: see text] are also observed. Finally, the average values of [Formula: see text] and [Formula: see text] are computed as a function of temperature: [Formula: see text] decreases with increasing temperature, whereas [Formula: see text] shows a slight increase.
Abstract The thermophysical properties of spin-polarized atomic tritum (T↓) are calculated in the temperature range 0.01 K–10 K using the Galitskii–Migdal–Feynman (GMF) formalism. The calculations are performed using Silvera and Born–Oppenheimer triplet-state potentials. It is concluded that T↓ may form a liquid at very low temperatures. At low T , the effective s-wave scattering length a 0 < 0, which corresponds to a very weak attractive interaction. There is no bound state for the T↓ dimer, but the negative a 0 indicates that it is only slightly short of binding. The transport properties of T↓ increase with increasing temperature. This behavior shows that T↓ remains as a gas in this T -range. The transport properties of 3 He and 4 He are included for comparison purposes. The difference in the transport properties of T↓ and 3 He is due to the fact that T↓ atoms obey Bose statistics while 3 He atoms obey Fermi statistics, whereas the difference with the 4 He (Boson) is due to the mass difference between T↓ and 4 He.
The scattering properties of spin-polarized Fermi gases are dominated by ppp-wave interactions. Besides their inherent angular dependence, these interactions differ from their sss-wave counterparts as they also require the presence of a finite effective range in order to understand the low-energy properties of the system. In this article we examine how the shear viscosity and thermal conductivity of a three-dimensional spin-polarized Fermi gas in the normal phase depend on the effective range and the scattering volume in both the weakly and the strongly interacting limits. We show that, although the shear viscosity and the thermal conductivity both explicitly depend on the effective range near resonance, the Prandtl number which parametrizes the ratio of momentum to thermal diffusivity does not have an explicit interaction dependence both at resonance and for weak interactions in the low-energy limit. In contrast to sss-wave systems, ppp-wave scattering exhibits an additional resonance at weak attraction from a quasi-bound state at positive energies, which leads to a pronounced dip in the shear viscosity at specific temperatures.
The elastic scattering properties in a mixture of sodium and cesium atoms are investigated at cold and ultracold temperatures. Based on the accurate interatomic potential for the NaCs mixture, the interspecies s-wave scattering lengths, the effective ranges and the p-wave scattering lengths are calculated by the quantal method and the semiclassical method, respectively. The s-wave scattering lengths are 512.7 a 0 for the singlet state and 33.4 a 0 for the triplet state. In addition, the spin-change and elastic cross sections are also calculated, and the g-wave shape resonance is found in the total elastic cross sections.
Results for elastic atom-atom scattering are obtained as a first practical application of RmatReact, a new code for generating high-accuracy scattering observables from potential energy curves. RmatReact has been created in response to new experimental methods which have paved the way for the routine production of ultracold (μK) atoms and molecules, and hence the experimental study of chemical reactions involving only a small number of partial waves. Elastic scattering between argon atoms is studied here. There is an unresolved discrepancy between different Ar2 potential energy curves which give different numbers of vibrational bound states and different scattering lengths for the Ar2 dimer. Depending on the number of bound states, the scattering length is either large and positive or large and negative. Scattering observables, specifically the scattering length, effective range, and partial and total cross-sections, are computed at low collision energies and compared to previous results. In general, good agreement is obtained, although our full scattering treatment yields resonances which are slightly lower in energy and narrower than previous determinations using the same potential energy curve.
Results for elastic atom-atom scattering are obtained as a first practical application of RmatReact, a new code for generating high-accuracy scattering observables from potential energy curves. RmatReact has been created in response to new experimental methods which have paved the way for the routine production of ultracold (μK) atoms and molecules, and hence the experimental study of chemical reactions involving only a small number of partial waves. Elastic scattering between argon atoms is studied here. There is an unresolved discrepancy between different Ar2 potential energy curves which give different numbers of vibrational bound states and different scattering lengths for the Ar2 dimer. Depending on the number of bound states, the scattering length is either large and positive or large and negative. Scattering observables, specifically the scattering length, effective range, and partial and total cross-sections, are computed at low collision energies and compared to previous results. In general, good agreement is obtained, although our full scattering treatment yields resonances which are slightly lower in energy and narrower than previous determinations using the same potential energy curve.
The scattering properties of pure gaseous methane and ethylene (CH 4 and C 2 H 4 ) are investigated in the temperature range 1–100 K. The s-wave scattering lengths ( a 0 ) for CH 4 and C 2 H 4 molecules are calculated for the first time. They are found to be 8.948 and 10.528 Å for CH 4 and C 2 H 4 molecules, respectively. Using these values of a 0 together with the dispersion coefficient C 6 , the binding energy ε 0s of the corresponding dimers is estimated. The binding energies between molecules are calculated using s-wave scattering lengths. It is found that CH 4 and C 2 H 4 can form weakly bound dimers. The binding energy ε 0s for (CH 4 ) 2 falls within the range −0.002 to −0.40 kcal/mol, whereas for (C 2 H 4 ) 2 it ranges from −0.003 to −0.2 kcal/mol. The total and viscosity cross-sections are computed to provide insight into the interaction dynamics governing the molecular systems. The cross-sections showed a minimum and maximum structure. The shape resonances are produced by centrifugal barriers (when [Formula: see text]). The peak of the resonance portion of the cross-section is close to energy, E R (when [Formula: see text]). The resonances can be interpreted as an indication of a quasibound state. The lifetime τ of the quasibound states for [Formula: see text]-wave [Formula: see text] is also computed and found to be in the range ~10 −11 s. The study of the molecular cross-sections of CH 4 and C 2 H 4 has provided valuable insights into the properties and behavior of these molecules. Also, the average cross-sections are obtained over 1–100 K. The present work establishes a unified framework linking long-range interactions to near-threshold bound states and scattering properties.