The nuclear lattice effective field theory(NLEFT)is an important method for nuclear ab initio calculations.The NLEFT combines the chiral effective field theory and the Monte Carlo method to exactly solve the nuclear many-body problem starting from the single nucleon degree of freedom.In numerical calculations of NLEFT,we should regularize the chiral effective nuclear force and introduce a finite momentum cutoff to eliminate unphysical divergences.In principle,the results of NLEFT should not depend on this cutoff scale.In other words,the effective field theory calculations should respect renormalization group invariance.By contrast,in recent years,many calculations using chiral effective nuclear forces have found that the results are sensitive to the momentum cutoff.In this article,we will employ the perturbative quantum Monte Carlo method and study the influence of the momentum cutoff on the ground-state properties of 3H,4He,and 16O.We construct chiral nuclear forces corresponding to different momentum cutoffs and systematically calculate the ground-state energy,ground-state charge distribution,and root-mean-square radius of these nuclei.We find that the lattice regularization scheme is advantageous in eliminating the momentum cutoff dependencies of the results than the commonly used nonlocal regularization schemes.
lattice effective field theoryground-state energycharge radiuscharge densityrenormalization group invariance
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