A variational wave function constructed with correlated hyperspherical harmonic functions is used to describe the Helium trimer. This system is known to have a deep bound state. In addition, different potential models predict the existence of a shallow excited state that has been identified as an Efimov state. Using the Rayleigh-Ritz variational principle, the energies and wave functions of both bound states have been obtained by solving a generalized eigenvalue problem. The introduction of a suitable correlation factor reduces considerably the dimension of the basis needed to accurately describe the structure of the system. The most recent helium-helium interactions have been investigated.A variational wave function constructed with correlated hyperspherical harmonic functions is used to describe the Helium trimer. This system is known to have a deep bound state. In addition, different potential models predict the existence of a shallow excited state that has been identified as an Efimov state. Using the Rayleigh-Ritz variational principle, the energies and wave functions of both bound states have been obtained by solving a generalized eigenvalue problem. The introduction of a suitable correlation factor reduces considerably the dimension of the basis needed to accurately describe the structure of the system. The most recent helium-helium interactions have been investigated.

Conference on Theoretical Nuclear Physics in ItalyApr 1, 20030 citations

Effective-field-theory analysis of boson-trimer bond lengths to next-to-leading order

Julia Ya Qin, Jared Vanasse

Cold helium atoms are a unique system in which a single excited three-body Efimov bound state occurs, naturally, without the need for an external magnetic field. While three-body bound-state energies of cold helium atoms have previously been investigated, recent experimental techniques have allowed their structure to also be studied. The weak interaction between helium atoms leads to a helium-helium (dimer) scattering length $a$ much larger than the helium-helium effective range of interaction $r$ . This feature is exploited in a theory that systematically expands observables in powers of $r/a$ , known as short-range effective field theory (SREFT), which has been used successfully to investigate properties of cold-atom systems. Using SREFT, we investigate the average bond length of atoms in the three-body ground state and excited Efimov bound state of cold helium atoms. At leading-order (next-to-leading order) in SREFT, we find the average bond length of the $^{4}\mathrm{He}$ trimer ground state is 8.35(33) $\AA{}$ (10.29(2) $\AA{}$ ) and the average bond length of the excited $^{4}\mathrm{He}$ trimer Efimov bound state is 103(4) $\AA{}$ (105.3(2) $\AA{}$ ).Cold helium atoms are a unique system in which a single excited three-body Efimov bound state occurs, naturally, without the need for an external magnetic field. While three-body bound-state energies of cold helium atoms have previously been investigated, recent experimental techniques have allowed their structure to also be studied. The weak interaction between helium atoms leads to a helium-helium (dimer) scattering length $a$ much larger than the helium-helium effective range of interaction $r$. This feature is exploited in a theory that systematically expands observables in powers of $r/a$, known as short-range effective field theory (SREFT), which has been used successfully to investigate properties of cold-atom systems. Using SREFT, we investigate the average bond length of atoms in the three-body ground state and excited Efimov bound state of cold helium atoms. At leading-order (next-to-leading order) in SREFT, we find the average bond length of the $^{4}\mathrm{He}$ trimer ground state is 8.35(33) $\AA{}$ (10.29(2) $\AA{}$) and the average bond length of the excited $^{4}\mathrm{He}$ trimer Efimov bound state is 103(4) $\AA{}$ (105.3(2) $\AA{}$).

arXiv:2010.06105Physical Review AFeb 25, 20212 citations

Theoretical Study of Triatomic Systems Involving Helium Atoms

Hiroya Suno, Emiko Hiyama, M. Kamimura

Few-Body SystemsApr 8, 201314 citations

Experimentally Testing for Wavefunctions of Ground State of Helium

Xiangdong Xu, Qian Qing, Bo Li +1 more

Acta Physico-Chimica SinicaJan 1, 19950 citations

a

much larger than the helium-helium effective range of interaction

r

. This feature is exploited in a theory that systematically expands observables in powers of

r/a

, known as short-range effective field theory (SREFT), which has been used successfully to investigate properties of cold-atom systems. Using SREFT, we investigate the average bond length of atoms in the three-body ground state and excited Efimov bound state of cold helium atoms. At leading-order (next-to-leading order) in SREFT, we find the average bond length of the

^{4}\mathrm{He}

trimer ground state is 8.35(33)

\AA{}

(10.29(2)

\AA{}

) and the average bond length of the excited

^{4}\mathrm{He}

trimer Efimov bound state is 103(4)

\AA{}

(105.3(2)

\AA{}