Three-body JP=0+ , 1+<

Abstract

Three-body systems with short-range interactions display universal features that have been extensively explored in atomic physics, but apply to hadron physics as well. Systems composed of two noninteracting identical particles (species H) of mass M and a third particle (species P) of mass m that interacts attractively with the other two have the property that they are more likely to bind for larger values of the mass ratio M=m. This is particularly striking if the HHP system is in P-wave (while the interacting pair is in S-wave), in which case one would not normally expect the formation of a three-body state. If we assume that the B ÃK binds to form the B denotes the Ξ bbK bound state). We indicate the possibility of analogous P-wave three-body bound states composed of two heavy baryons and a kaon or antikaon and investigate the conditions under which the Efimov effect could appear in these systems.

D*D*D¯ and D*D*Valderrama1 2018Phys. Rev. DSelf Cite164110View full textAdd to dashboardCite

“…The discrete scaling factor is between 65-70, indicating that the binding of the excited Efimov state should be 4000-5000 times shallower than the fundamental state. Independently of this, it is worth noticing that three body systems with a large mass imbalance are more likely to bind, as illustrated with the B Ã B ÃK [22] We stress the theoretical nature of the present work. The 2 þþ partner of the Xð3872Þ has not been observed yet neither ruled out.…”

“…There is the interesting question of whether there are three hadron systems (besides the three nucleon system) where the Efimov effect might play a role [19][20][21][22]. This is particularly relevant in view of the recent renaissance of hadron spectroscopy triggered by the discovery of the Xð3872Þ by the Belle collaboration more than one decade ago [23].…”

Exotic doubly charmed Ds0*(2317)D and Sánchez1, Geng2, Lu3 et al. 2018Phys. Rev. DSelf Cite303160View full textAdd to dashboardCite

“…Finally the inclusion of relativistic kaon kinematics (in the formalism of Refs. [59][60][61]) and the correct energy dependence of the Weinberg-Tomozawa term for the DK interaction give modest corrections to the numbers above, about ΔE B ¼ þ5 MeV for a noninteracting DD pair and ΔE B ¼ þ1 MeV if we include DD repulsion.…”

Bound state formation in the DDK system

“…[17][18][19][20][21][22][23][24][25][26][27]). The existence of triple charm states has also been claimed [28], and doubly charmed/bottom three body systems have been studied [29][30][31][32]. However, in spite of all these efforts, the present available information about these states is still too preliminary to reach strong conclusions about their properties, and it still remains in the agenda of high energy physics to clarify the formation and nature of such states.…”