Determination of the Bond Length and Binding Energy of the Helium Dimer by Diffraction from a Transmission Grating

Grisenti, R. E.; Schöllkopf, Wieland; Toennies, J. P.; Hegerfeldt, Gerhard C.; Köhler, Thorsten; Stoll, Martin

doi:10.1103/physrevlett.85.2284

Cited by 316 publications

(341 citation statements)

References 19 publications

Supporting

Mentioning

319

Contrasting

Unclassified

Order By: Relevance

“…Data in the literature [16][17][18][19][20] show that the He dimer potential well at 10.9 K and a nuclear equilibrium distance of 2.97 Å only support a single bound rovibrational state with a binding energy of approximately -1.176 mK, 34 which is the weakest bound state ever discovered. Due to this extremely weak interaction, the wave function must be delocalized over a large intermolecular distance.…”

Section: Potential Energy Functionmentioning

confidence: 99%

Quantum second virial coefficient calculation for the 4He dimer on a recent potential

Costa¹,

Lemes²,

Alves³

et al. 2013

J. Braz. Chem. Soc.

View full text Add to dashboard Cite

Este trabalho concentra-se no cálculo do segundo coeficiente virial quântico, a partir de um potencial desenvolvido recentemente. Este coeficiente foi determinado com 4-5 algarismos significativos na faixa de temperatura de 3 a 100 K. Nossos resultados estão dentro do erro experimental. Três contribuições para o valor total deste coeficiente são o espalhamento quântico (contribuição de estados no contínuo), o estado ligado (contribuição de estados discretos) e o gás ideal quântico; discutimos estas contribuições separadamente. A contribuição mais importante é do espalhamento quântico, enquanto que as contribuições menores são dos estados discretos. Uma análise da sensibilidade foi realizada em função da temperatura para um parâmetro na região de curto alcance do potencial e para três parâmetros na região de longo alcance do potencial. Para ambas as temperaturas consideradas, 10 e 100 K, o coeficiente de dispersão C 6 foi o mais significativo, e o termo dispersão C 10 foi o menos significativo para o resultado total. Em geral, a precisão exigida para descrever os potenciais diminui com o aumento da temperatura. A precisão total e a relação dos parâmetros com os erros experimentais são discutidas. This paper focuses on the calculation of the quantum second virial coefficient, under a recently developed potential. This coefficient was determined to within 4-5 significant figures in the temperature range from 3 to 100 K. Our results are within experimental error. The three contributions to the overall value of the coefficient are the quantum scattering (continuum state contribution), the bound state (discrete state contribution) and the quantum ideal gas; we discuss these contributions separately. The most significant contribution is from the scattering states, whereas the smaller contributions are from the discrete states. A sensitivity analysis was performed as a function of temperature for one parameter in the short-range region of the potential and for three parameters in the long-range regions of the potential. For both temperatures considered, 10 and 100 K, the C 6 dispersion coefficient was the most significant, and the C 10 dispersion term was the least significant to the overall result. In general, the precision required to describe the potential decays as the temperature increases. The overall accuracy and the relationship of the parameters to the experimental errors are discussed.

show abstract

Section: Potential Energy Functionmentioning

confidence: 99%

Quantum second virial coefficient calculation for the 4He dimer on a recent potential

Costa¹,

Lemes²,

Alves³

et al. 2013

J. Braz. Chem. Soc.

View full text Add to dashboard Cite

show abstract

“…The atom-atom scattering length a 2 = 104 +8 −18 Å and the dimer binding energy B 2 = 1.30962 mK were derived from measurements of the dimer bond length, and using the zerorange approximation [39] this gives an effective range of the order of 10Å. Therefore the EFT expansion parameter is l/a 2 ≈ 0.1 and the EFT expansion should converge rather ) 3 is used as input.…”

Section: The Three-boson System At Nnlomentioning

confidence: 99%

The Three-Boson System at Next-to-Next-to-Leading Order

2006

View full text Add to dashboard Cite

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces (range R ≪ a 2 , with a 2 the two-body scattering length). We show that forming a once-subtracted scattering equation yields a scattering amplitude whose low-momentum part is renormalization-group invariant up to corrections of O(R 3 /a 3 2 ). Since corrections of O(R/a 2 ) and O(R 2 /a 2 2 ) can be straightforwardly included in the integral equation's kernel, a unique solution for 1+2 scattering phase shifts and three-body bound-state energies can be obtained up to this accuracy. We use our equation to calculate the correlation between the binding energies of Helium-4 trimers and the atom-dimer scattering length. Our results are in excellent agreement with the recent three-dimensional Faddeev calculations of Roudnev and collaborators that used phenomenological inter-atomic potentials.

show abstract

“…7 Existence of the smallest clusters, dimer 4 He 2 , trimers 4 He 3 and 4 He 2 3 He, and tetramers 4 He 4 , 4 He 3 3 He and 4 He 2 3 He 2 , was predicted theoretically [8][9][10][11] and confirmed experimentally. [12][13][14][15][16][17][18] Their stability is affected by the different mass and quantum statistics of helium isotopes, 4 He and 3 He. Both helium dimers and trimers played a significant role in the research 7 of universal scaling laws of energy and size of two-and three-body halos.…”

Section: Introductionmentioning

confidence: 99%

Quantum Halo States in Helium Tetramers

2016

View full text Add to dashboard Cite

Universality of quantum halo states enables comparison of systems from different fields of physics, as demonstrated in two-and three-body clusters. In the present work, we studied weakly-bound helium tetramers in order to test whether some of these four-body realistic systems qualify as halos. Their ground-state binding energies and structural properties were thoroughly estimated using the diffusion Monte Carlo method with pure estimators. Helium tetramer properties proved to be less sensitive on the potential model than previously evaluated trimer properties. We predict the existence of the realistic four-body halo 4 He 2 3 He 2 , while 4 He 4 and 4 He 3 3 He are close to the border and thus can be used as prototypes of quasi-halo systems. Our results could be tested by experimental determination of tetramers' structural properties, using a similar setup to the one developed for the study of helium trimers.

show abstract

Determination of the Bond Length and Binding Energy of the Helium Dimer by Diffraction from a Transmission Grating

Cited by 316 publications

References 19 publications

Quantum second virial coefficient calculation for the 4He dimer on a recent potential

Quantum second virial coefficient calculation for the 4He dimer on a recent potential

The Three-Boson System at Next-to-Next-to-Leading Order

Quantum Halo States in Helium Tetramers

Contact Info

Product

Resources

About