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- W4387495002 abstract "In present work, a relation that connects the integrated correlation function of a trapped two-particle system to infinite volume particles scattering phase shift is derived. It has the potential to provide an alternative approach for extracting two-particle scattering phase shift from integrated correlation function in lattice simulation at small Euclidean time region. Both (i) perturbation calculation of ($1+1$)-dimensional lattice Euclidean field theory model of fermions interacting with a contact interaction and (ii) Monte Carlo simulation of a 1D exactly solvable quantum mechanics model are carried out to test the proposed relation. In contrast to conventional two-step approach of extracting energy levels from temporal correlation function in lattice simulation at large Euclidean time first and then applying Luscher formula to convert energy levels into scattering phase shifts, we show that the difference of integrated correlation functions between interacting and noninteracting trapped systems converges rapidly to infinite volume limit that is given in terms of scattering phase shifts at small Euclidean time region." @default.
- W4387495002 created "2023-10-11" @default.
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- W4387495002 date "2023-10-10" @default.
- W4387495002 modified "2023-10-12" @default.
- W4387495002 title "Toward extracting the scattering phase shift from integrated correlation functions" @default.
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- W4387495002 doi "https://doi.org/10.1103/physrevd.108.074504" @default.
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