3He-3He and 4He-4He Cross Sections in Matter at Low Temperature

Joudeh, B. R.; Sandouqa, A. S.; Ghassib, H. B.; Al-Sugheir, M. K.

doi:10.1007/s10909-010-0211-6

Cited by 24 publications

(23 citation statements)

References 46 publications

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“…The validity of the GMF formalism in the low-density regime has been demonstrated repeatedly over the years [10][11][12][13][14]. The reason for this choice of temperature range is to enable us to compare our results to other results available in the literature, both experimental and theoretical.…”

Section: Introductionmentioning

confidence: 66%

“…However, this term can be neglected [26], as shown below. The third term represents the contribution of scattering states; it is the major term in B q (T ) [12,14].…”

Section: Effective Cross-sectionsmentioning

confidence: 99%

“…For a many-bosonic system, the operator Q Q is the product of two distributions as follows [12,13,28]:…”

Section: Gmf T -Matrixmentioning

confidence: 99%

“…In this paper, the Galitskii-Migdal-Feynman (GMF) formalism [10][11][12][13][14] is applied to Ar gas for studying its scattering and thermodynamic properties in the temperature range 87.3-120 K, using the Hartree-Fock dispersion (HFD-B3) interatomic potential, with special emphasis on the quantum second virial coefficient [15]. The validity of the GMF formalism in the low-density regime has been demonstrated repeatedly over the years [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…It can also be viewed as a generalized scattering amplitude, or as a "dressed" Lippmann-Schwinger t-matrix (which describes the scattering of two particles in free space). The GMF T -matrix was originally derived for many-fermionic systems, but was later adapted to manybosonic systems [12,13]. This formalism is used to calculate the "effective" phase shifts that incorporate manybody effects; they are functions of the density and temperature.…”

Section: Introductionmentioning

confidence: 99%

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Scattering Properties of Argon Gas in the Temperature Range 87.3-120 K

et al. 2016

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A theoretical model, based on the Galitskii-Migdal-Feynman formalism, is introduced for determining the scattering properties of argon gas, especially the "effective" total, viscosity and average cross-sections. The effective phase shifts are used to compute the quantum second virial coefficient in the temperature range 87.3-120 K. The sole input is the Hartree-Fock dispersion (HFD-B3) potential. The thermophysical properties of the gas are then calculated. The results are in good agreement with experimental data.

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Section: Introductionmentioning

confidence: 66%

“…However, this term can be neglected [26], as shown below. The third term represents the contribution of scattering states; it is the major term in B q (T ) [12,14].…”

Section: Effective Cross-sectionsmentioning

confidence: 99%

“…For a many-bosonic system, the operator Q Q is the product of two distributions as follows [12,13,28]:…”

Section: Gmf T -Matrixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scattering Properties of Argon Gas in the Temperature Range 87.3-120 K

et al. 2016

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Thermodynamic Properties and Critical Behavior of Spin-Polarized Atomic Hydrogen (H↓) Using the Quantum Second-Virial Coefficient

Joudeh

2023

Int J Thermophys

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The quantum-mechanical formulations for the second virial, and the acoustic virial, coefficients are derived for spin-polarized atomic hydrogen (H↓). The dependence of these coefficients on the temperature T as well as the nuclear polarization  is analyzed. This is done for the first time. The main inputs in these computations are the scattering phase shifts, which are obtained using the Lippmann-Schwinger equation, with the Silvera triplet-state potential.Starting with these phase shifts, comprehensive calculations of the thermophysical properties for this system are performed for T ranging from 1µK to 100 K, and  varying from 0 to 1. These properties include, in addition to the quantum second virial coefficient and the acoustic virial coefficient: the pressure-polarization-temperature ( )PT −  − behavior, the entropy (per atom), the speed of sound, the second virial correction (to the total internal energy per atom and unit density), and the specific heat capacity (per atom and unit density).The Boyle temperature and the Joule inversion temperature are determined. The Tdependence of these thermophysical properties, and related quantities, is explored. As expected, this dependence is most evident in the low-T limit, where quantum effects predominate. The corresponding  -dependence becomes noticeable at 80 K and below. It is observed that the virial coefficients tend to decrease with increasing  . Comparison of the present results to previous results are included whenever possible. The overall agreement is very good.As T is lowered, the disruptive effects of thermal energy are weakened relative to the attractive interactions between the atoms. Consequently, the H↓ gas makes a transition to a state of higher order and lower entropy -Bose-Einstein condensation (BEC). This is explored carefully.

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