Variational calculation of 4He tetramer ground and excited states using a realistic pair potential

Abstract

We calculated the 4He trimer and tetramer ground and excited states with the LM2M2 potential using our Gaussian expansion method (GEM) for ab initio variational calculations of few-body systems. The method has extensively been used for a variety of three-, four- and five-body systems in nuclear physics and exotic atomic/molecular physics. The trimer (tetramer) wave function is expanded in terms of symmetric three-(four-)body Gaussian basis functions, ranging from very compact to very diffuse, without assuming any pair correlation function. Calculated results of the trimer ground and excited states are in excellent agreement with the literature. Binding energies of the tetramer ground and excited states are obtained to be 558.98 mK and 127.33 mK (0.93 mK below the trimer ground state), respectively. Precisely the same shape of the short-range correlation (r_ij < 4 Å) in the dimer appear in the ground and excited states of the trimer and tetramer. Analyzing the asymptotic wave functions (accurate up to 1000 Å) of those excited states, we propose a model which predicts the binding energy of the first excited state of 4He_N measured from the 4He_{N-1} ground state to be N/2(N-1)xB_2 using dimer binding energy B_2 only; fit in N=3 and 4 is excellent.

16 pages, 11 figures, to be published in Phys. Rev. A85 (2012), minor changes in the description of the dimerlike pair model, references renumbered

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Cited by in corpus (29)

• Observation of the Efimov state of the helium trimer
• Heavy Hadrons in Nuclear Matter
• On the possibility of generating a 4-neutron resonance with a {\boldmath $T=3/2$} isospin 3-neutron force
• Quark model estimate of hidden-charm pentaquark resonances
• Four-Body Scale in Universal Few-Boson Systems
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Linear correlations between 4He trimer and tetramer energies calculated with various realistic 4He potentials
• Enhancement of the CP-odd effect in the nuclear electric dipole moment of ${}^6$Li
• Effective Field Theory for Few-Boson Systems
• Study of various few-body systems using Gaussian expansion method (GEM)
• The quest for light multineutron systems
• Standard model contribution to the electric dipole moment of the deuteron, ${}^3$H, and ${}^3$He nuclei
• Universality in Efimov associated tetramers in 4He
• Electric dipole moment of ${}^{13}$C
• Momentum-space calculation of ${}^4$He triatomic system with realistic potential
• Electric dipole moment of the deuteron in the standard model with $NN-\Lambda N-\Sigma N$ coupling
• Universal Short Range Correlations in Bosonic Helium Clusters
• Tetramer Bound States in Heteronuclear Systems
• Six-bodies calculations using the Hyperspherical Harmonics method
• Subleading contributions to $N$-boson systems inside the universal window
• Calculation of Dissociation Temperature of Nucleon Using Gaussian Expansion Method
• Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• The Four-Boson First-Excited State Near Two-Body Unitarity
• Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Efimov universality with Coulomb interaction
• Four-body system of ${}^4\mathrm{He}$ atoms: Dimer-dimer scattering
• Second excited state of ${}^4\mathrm{He}$ tetramer