LXX International conference "NUCLEUS – 2020. Nuclear physics and elementary particle physics. Nuclear physics technologies"

The properties of the $^4$He$_3$ and $^3$He$^4$He$_2$ three - atomic systems

17 Oct 2020, 12:35

25m

Online

Oral report Section 1. Experimental and theoretical studies of the properties of atomic nuclei. Section 1. Experimental and theoretical studies of the properties of atomic nuclei

Speaker

Artem Korobitsin (JINR)

Description

Clusters of gas atoms are a large class of molecules interacting via van der Waals type potentials. Some weakly bound clusters show universal characteristics and scale invariants related to the famous Efimov effect [1], which was experimentally confirmed in an ultracold gas of the Cs atoms [2]. The helium trimer system has been long considered as an ideal candidate for observing Efimov states. Only recently, after a long and continued research, the Efimov state as the excited state of the $^4$He$_3$, was detected [3]. Also, the wave function of the $^4$He dimer has been measured via Coulomb explosion technique which enabled to determine its very small binding energy - 151.9 (13.3) neV [4].
There are many realistic He-He potential models which are more and more accurate reproduce two-body data [5]. Very accurate calculation needed in order to evaluate the effect of potential models on the characteristic of three-body system. One of the effective methods for studying triatomic clusters is based on the differential Faddeev equations.
In this work we develop an application based on the Faddeev differential equations for studying the properties of the $^4$He$_3$ and $^3$He$^4$He$_2$ three - atomic systems using modern realistic potentials constructed by M. Przybytek et al. in 2010 [6] and 2017 [7] years, as well as older potentials – LM2M2 [8] and TTY [9]. The calculated results we compare with the results obtained using different methods by other authors and with the experiment.
[1] V.N.Efimov // Phys. Atom. Nucl. 1970. V.12. P.1080; Phys. Lett. B. 1970. V.33. P.563.
[2] T.Kraemer et al. // Nature. 2006. V.440. P.315.
[3] M.Kunitski et al. // Science. 2015. V.348. P.551.
[4] S.Zeller, et al. // Proc. Nat. Acad. Sci. 2016. V.113. P.14651.
[5] E.A.Kolganova et al. // Few-Body Syst. 2017. V.58. P.35.
[6] M.Przybytek et al. // Phys. Rev. Lett. 2010. V.104. P.183003.
[7] M.Przybytek et al. // Phys. Rev. Lett. 2017. V.119. P.123401.
[8] R.A.Aziz et al. // J. Chem. Phys. 1991. V.94. P.8047.
[9] K.T.Tang et al. // Phys. Rev. Lett. 1995. V.74. P.1546.