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In a previous work [Phys. Rev. A 85, 022502 (2012)] we calculated, with theuse of our Gaussian expansion method for few-body systems, the energy levelsand spatial structure of the 4He trimer and tetramer ground and excited statesusing the LM2M2 potential, which has a very strong short-range repulsion. Inthis work, we calculate the same quantities using the presently most accurate4He-4He potential [M. Przybytek et al., Phys. Rev. Lett. 104, 183003 (2010)]that includes the adiabatic, relativistic, QED and residual retardationcorrections. Contributions of the corrections to the tetramerground-(excited-)state energy, -573.90 (-132.70) mK, are found to be,respectively, -4.13 (-1.52) mK, +9.37 (+3.48) mK, -1.20 (-0.46) mK and +0.16(+0.07) mK. Further including other realistic 4He potentials, we calculated thebinding energies of the trimer and tetramer ground and excited states, B_3^(0),B_3^(1), B_4^(0) and B_4^(1), respectively. We found that the four kinds of theenergies for the different potentials exhibit perfect linear correlationsbetween any two of them over the range of binding energies relevant for 4Heatoms (namely, six types of the generalized Tjon lines are given). Thedimerlike-pair model for 4He clusters, proposed in the previous work, predictsa simple universal relation B_4^(1)/B_2 =B_3^(0)/B_2 + 2/3, which preciselyexplains the correlation between the tetramer excited-state energy and thetrimer ground-state energy, with B_2 being the dimer binding energy.

Linear correlations between 4He trimer and tetramer energies calculated with various realistic 4He potentials