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@ARTICLE{Frame:889246,
author = {Frame, Dillon and Lähde, Timo A. and Lee, Dean and
Meißner, Ulf-G.},
title = {{I}mpurity lattice {M}onte {C}arlo for hypernuclei},
journal = {The European physical journal / A},
volume = {56},
number = {10},
issn = {1434-601X},
address = {Heidelberg},
publisher = {Springer},
reportid = {FZJ-2021-00151},
pages = {248},
year = {2020},
abstract = {We consider the problem of including Λ hyperons into the
ab initio framework of nuclear lattice effective field
theory. In order to avoid large sign oscillations in Monte
Carlo simulations, we make use of the fact that the number
of hyperons is typically small compared to the number of
nucleons in the hypernuclei of interest. This allows us to
use the impurity lattice Monte Carlo method, where the
minority species of fermions in the full nuclear Hamiltonian
is integrated out and treated as a worldline in Euclidean
projection time. The majority fermions (nucleons) are
treated as explicit degrees of freedom, with their mutual
interactions described by auxiliary fields. This is the
first application of the impurity lattice Monte Carlo method
to systems where the majority particles are interacting.
Here, we show how the impurity Monte Carlo method can be
applied to compute the binding energies of the light
hypernuclei. In this exploratory work we use
spin-independent nucleon–nucleon and hyperon–nucleon
interactions to test the computational power of the method.
We find that the computational effort scales approximately
linearly in the number of nucleons. The results are very
promising for future studies of larger hypernuclear systems
using chiral effective field theory and realistic
hyperon–nucleon interactions, as well as applications to
other quantum many-body systems.},
cin = {IAS-4 / IKP-3 / JARA-HPC},
ddc = {530},
cid = {I:(DE-Juel1)IAS-4-20090406 / I:(DE-Juel1)IKP-3-20111104 /
$I:(DE-82)080012_20140620$},
pnm = {511 - Computational Science and Mathematical Methods
(POF3-511) / DFG project 196253076 - TRR 110: Symmetrien und
Strukturbildung in der Quantenchromodynamik (196253076) /
Nuclear Lattice Simulations $(jara0015_20200501)$},
pid = {G:(DE-HGF)POF3-511 / G:(GEPRIS)196253076 /
$G:(DE-Juel1)jara0015_20200501$},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000578412200002},
doi = {10.1140/epja/s10050-020-00257-y},
url = {https://juser.fz-juelich.de/record/889246},
}