Momentum Distributions in Liquid
                    <sup>4</sup>
                    He

Sosnick, T. R.; Snow, W. M.; Sokol, P. E.; Silver, R.N.

doi:10.1209/0295-5075/9/7/016

Cited by 60 publications

(95 citation statements)

References 22 publications

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“…This includes the MARI [24][25][26][27][28][29] , PHOENIX [30][31][32][33][34] , and eVS 35 spectrometers. There is both convergence and divergence in the results of these studies.…”

Section: Introductionmentioning

confidence: 99%

The Momentum Distribution of Liquid $$^4\hbox {He}$$

et al. 2017

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We report high-resolution neutron Compton scattering measurements of liquid 4 He under saturated vapor pressure. There is excellent agreement between the observed scattering and ab initio predictions of its lineshape. Quantum Monte Carlo calculations predict that the Bose condensate fraction is zero in the normal fluid, builds up rapidly just below the superfluid transition temperature, and reaches a value of approximately 7.5% below 1 K. We also used model fit functions to obtain from the scattering data empirical estimates for the average atomic kinetic energy and Bose condensate fraction. These quantities are also in excellent agreement with ab initio calculations.The convergence between the scattering data and Quantum Monte Carlo calculations is strong evidence for a Bose broken symmetry in superfluid 4 He. 1 arXiv:1703.03018v1 [cond-mat.other]

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“…This includes the MARI [24][25][26][27][28][29] , PHOENIX [30][31][32][33][34] , and eVS 35 spectrometers. There is both convergence and divergence in the results of these studies.…”

Section: Introductionmentioning

confidence: 99%

The Momentum Distribution of Liquid $$^4\hbox {He}$$

et al. 2017

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“…1,2 They provide essential information on the correlations present in the system, which do not show up explicitly in other quantities. In the past years, accurate inelastic neutronscattering experiments have allowed for studying several aspects of the momentum distribution in helium liquids, 4 He, 3,4 3 He, 5 and 4 He- 3 He mixtures. 6,7 However, a clean extraction of information on the helium MD's is somehow tempered by the need of a sound theoretical understanding of the final-state effects in the analysis of the dynamic structure function, even at high momentum transfers.…”

Section: Introductionmentioning

confidence: 99%

“…The macroscopic occupation of the zero momentum state, as given by the condensate fraction n 0 (4) , characterizes the momentum distribution of bosonic, liquid 4 He and it is strictly linked to its superfluid behavior. On the other hand, the discontinuity Z F at the Fermi momentum k F is a characteristic of the 3 He system when it is studied as a normal Fermi liquid.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we consider the interesting case of isotopic 3 He- 4 He mixtures where, due to its fermion-boson nature, both quantities Z F and n 0 (4) are simultaneously present. Recent neutron-scattering experiments on helium mixtures at high momentum transfers 6,7 give additional motivation to undertake a microscopic, theoretical study of their momentum distributions and one-body density matrices.…”

Section: Introductionmentioning

confidence: 99%

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Momentum distributions in3He−4Heliquid mixtures

1997

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We present variational calculations of the one-body density matrices and momentum distributions for 3 He mixtures in the zero-temperature limit, in the framework of the correlated basis functions theory. The ground-state wave function contains two-and three-body correlations and the matrix elements are computed by ͑Fermi͒ hypernetted chain techniques. The dependence on the 3 He concentration (x 3 ) of the 4 He condensate fraction (n 0 (4) ) and of the 3 He pole strength (Z F ) is studied along the Pϭ0 isobar. At low 3 He concentrations, the computed 4 He condensate fraction is not significantly affected by the 3 He statistics. Despite the low x 3 values, Z F is found to be quite smaller than that of the corresponding pure 3 He because of the strong 3 He-4 He correlations and of the overall, large total density . A small increase of n 0 (4) along x 3 is found, which is mainly due to the decrease of with respect to the pure-4 He phase. ͓S0163-1829͑97͒03242-6͔

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“…Today, BEC can be observed directly in neutron scattering measurements. [4][5][6][7][8][9] . In bulk liquid 4 He at saturated vapor pressure (SVP) (p≃ 0), a fraction 9 n 0 = 7.25±0.75% condenses into the zero momentum (k = 0) state at low temperature.…”

mentioning

confidence: 99%