Novel coupled channel framework connecting quark model and lattice QCD: an investigation on near-threshold $D_s$ states

Abstract

A novel framework is proposed to extract near-threshold resonant states from finite-volume energy levels of lattice QCD and is applied to elucidate structures of the positive parity Ds. The quark model, the quark-pair-creation mechanism and D ( * ) K interaction are incorporated into the Hamiltonian effective field theory. The bare 1 + cs states are almost purely given by the states with heavy-quark spin bases. The physical D * s0 (2317) and D * s1 (2460) are the mixtures of bare cs core and D ( * ) K component, while the D * s1 (2536) and D * s2 (2573) are almost dominated by bare cs. Furthermore, our model reproduces the clear level crossing of the D * s1 (2536) with the scattering state at a finite volume.

Mass spectra and strong decays of charmed and charmed-strange mesons

“…The study of DK scattering in full lattice QCD supports the interpretation of the D * s0 (2317) as a DK molecule [145]. Recently, Zhi Yang et al studied the positive parity D s resonant states within the Hamiltonian effective field theory by combining it with the quark model, they found that D * s0 (2317) may consist of the D s (1 3 P 0 ) state, but at the same time couple to the DK channel [95], which may naturally explain why the D s (1 3 P 0 ) is still missing if D * s0 (2317) is a state out of quark model prediction. Since the mass of D * s0 (2317) is below the mass threshold of the DK channel, its extremely narrow width can be understood in theory.…”

“…Considering the positive parity resonances D s0 (2317) and D s1 (2460) first reported by BaBar [93] and CLEO [94] as the D s (1 3 P 0 ) and D s (1P 1 ) assignments, one finds their masses are too low to be comparable with the theoretical expectations. A recent study shows that D s0 (2317) and D s1 (2460) are the mixtures of bare 1P c s core and D ( * ) K component [95]. The new resonance D s0 (2590) + with J P = 0 − is suggested to be a strong candidate of the radial excitation D s (2 1 S 0 ) by the collaboration [15], however, its measured mass and width are inconsistent with the recent theoretical predictions in Ref.…”

$X$ structures in $B^+\to J/ψϕK^+$ as one-loop and double-triangle threshold cusps

“…Conversely, our result implies that 1 + of X(4274) might be a first experimental indication of D * s0 (2317) mainly being a DK molecule, shedding light on the controversial nature of D * s0 (2317)[46]. On the other hand, D s1 (2536) have been mostly considered to have a p-wave cs structure[57,71] and, thus, the assumption is not understandable intuitively. Yet, D s1 (2536) is known to have a strong coupling to D * K, which has been utilized in our model.…”

“…The assumption naturally leads to the DT mechanisms that cause anomalous threshold cusps consistent with the LHCb data. For D ( * ) sJ = D * s0(2317), the assumption is partly supported by previous works that analyzed lattice QCD energy spectrum and found D * s0 (2317) to be mainly a DK molecule[54][55][56][57]. Conversely, our result implies that 1 + of X(4274) might be a first experimental indication of D * s0 (2317) mainly being a DK molecule, shedding light on the controversial nature of D * s0 (2317)[46].…”

The $D_{s0}(2590)^+$ as the dressed $c\bar s(2^1S_0)$ meson in a coupled-channels calculation

“…Such discrepancy led to many theoretical interpretations of their inner structure, ranging from conventional cs states [6][7][8] to molecular or compact tetraquark interpretations [9][10][11][12][13][14][15][16]. In Ref.…”