Investigating new type of doubly-charmed molecular tetraquarks composed of the charmed meson in $H$-doublet and the charmed meson in $T$-doublet

Abstract

Stimulated by the newly reported doubly-charmed tetraquark state T + cc by LHCb, we carry out a systematic investigation of the S -wave interactions between the charmed meson (D, D * ) in H-doublet and the charmed meson (D 1 , D *2 ) in T -doublet by adopting the one-boson-exchange model. Both the S -D wave mixing effect and the coupled channel effect are taken into account. By performing a quantitative calculation, we suggest that the S -wave D * D 1 states with I(J P ) = 0(0 − , 1 − ) and the S -wave D * D * 2 state with I(J P ) = 0(1 − ) should be viewed as the most promising candidates of the doubly-charmed molecular tetraquark states, and the S -wave DD 1 state with I(J P ) = 0(1 − ), the S -wave DD * 2 state with I(J P ) = 0(2 − ), and the S -wave D * D * 2 state with I(J P ) = 0(2 − ) are the possible doubly-charmed molecular tetraquark candidates. With the accumulation of experimental data at Run III and after High-Luminosity-LHC upgrade, these predicted doubly-charmed molecular tetraquark states can be accessible at LHCb in the near future.

Colour and baryon number fluctuation of preconfinement system in production process and T_cc structure

“…The static properties of this resonance have been well predicted by both assumptions as tetraquark or molecule [13][14][15] though some potential models of multiquark state fail to give the mass [16]. Since the observation of this T cc state, discussions of double-heavy four quark states in both molecular configuration [17][18][19][20][21][22][23][24][25][26][27][28][29] and tetraquark picture [30][31][32][33] are performed to explain the static and/or decay properties. However, T cc can be taken as an excellent example for the study of the production mechanism (rather than via decay or static properties) to gain insight on the hadronic structure, and to shed light on the confinement mechanism.…”

A survey of heavy-heavy hadronic molecules

“…It is much more difficult to produce the states with doubly heavy quarks than those with heavyantiheavy quarks since that require at least two heavy quark-antiquark pairs to be produced and two heavy (anti)quarks to move in a particular phase space region. It is only until very recently that the first experimental evidence for a double-charm tetraquark state was reported [39,40], which immediately stimulated a series of theoretical studies [41][42][43][44][45][46][47][48]. Despite that, many attempts have been made to investigate the possible states with doubly heavy quarks, see the discussions in Sec.…”

A new group of doubly charmed molecule with $T$-doublet charmed meson pair

“…Y(4390) [69], Z + (4430) [70] H S [71][72][73] Z + (4248) [60], Z + (4430) [70] T T [50,74] S S [75] Doubly charmed systems HH [3-14] T + cc [1] HT [14,76] long-range interaction for the D D * state with I(J PC ) = 0(1 ++ ) is exactly same as the DD * state with I(J P ) = 0(1 + ) [7]. Inspired by the X(3872), a zoo of hidden-charm molecular tetraquark has been formed [40].…”

“…[3], the authors predicted the possible dou-bly charmed molecular tetraquark candidates composed of a pair of charmed mesons in the H-doublet. Recently, we performed a systematic study of the HT -type meson-meson interactions, and predicted a series of possible HT -type doubly charmed molecular tetraquark candidates [76].…”

“…Before deducing the effective potentials, we first construct the flavor and spin-orbital wave functions for these discussed T T -type doubly charmed tetraquark systems. The isospin for the T T -type doubly charmed tetraquark systems can be either 0 or 1, and we collect the relevant flavor wave functions in Table II [3,5,8,76].…”