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Equation of State of a Strongly Interacting many-Boson System from an Effective Interaction

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arxiv 2211.00165 v1 pith:T7ZJI3QF submitted 2022-10-31 cond-mat.quant-gas

classification cond-mat.quant-gas
keywords resultsdistributioneffectiveenergyequationfunctioninteractionlambda
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abstract

A contact potential describing an effective interaction between atomic $^4$He reproducing the results obtained with the HFDHE2 potential by Aziz et al. is employed to study the resulting equation of state by means of Quantum Monte Carlo calculations. \cblack The energy per particle and the pair distribution functions were investigated as a function of the ultraviolet cutoff $\Lambda$. The results suggest that not only the mean field properties of the system, such as the energy and the saturation density, are correctly reproduced, but also very microscopic quantities such as the pair distribution function are seen to converge towards the exact results when extrapolating for $\Lambda\rightarrow\infty$.

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Cited by 1 Pith paper

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  1. A renormalizable theory for not-so-light nuclei

    nucl-th 2025-05 conditional novelty 6.0 of 10

    An improved effective field theory with artificial interaction ranges yields stable, cutoff-independent ground-state energies for 6Li, 12C, and 16O for the first time.

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