Properties of excited charm and charm-strange mesons

Abstract

We calculate the properties of excited charm and charm-strange mesons. We use the relativized quark model to calculate their masses and wavefunctions that are used to calculate radiative transition partial widths and the 3 P0 quark-pair-creation model to calculate their strong decay widths. We use these results to make quark model spectroscopic assignments for recently observed charm and charm-strange mesons. In particular we find that the properties of the DJ (2550) 0 and D * J (2600) 0 are consistent with those of the 2 1 S0(cū) and the 2 3 S1(cū) states respectively, the D * 1 (2760) 0 , D * 3 (2760) − , and DJ (2750) 0 with those of the 1 3 D1(cū), 1 3 D3(dc), and 1D2(cū) states respectively. We tentatively identify the D * J (3000) 0 as the 1 3 F4(cū) and favour the DJ (3000) 0 to be the 3 1 S0(cū) although we do not rule out the 1F3 and 1F 3 assignment. For the recently observed charm-strange mesons we identify the D * s1 (2709) ± , D * s1 (2860) − , and D * s3 (2860) − as the 2 3 S1(cs), 1 3 D1(sc), and 1 3 D3(sc) states respectively and suggest that the DsJ (3044) ± is most likely the Ds1(2P 1 ) or Ds1(2P1) states although it might be the D * s2 (2 3 P2) with the DK final state too small to be observed with current statistics. Based on the predicted properties of excited states, that they not have too large a total width and they have a reasonable branching ratio to simple final states, we suggest states that should be able to be found in the near future. We expect that the tables of properties summarizing our results will be useful for interpreting future observations of charm and charm-strange mesons.

Study of D sJ (*) + mesons decaying to D ∗ + K S 0 and D *0 K + final states

“…We also show in figure 9(c) the cos θ H distribution for the enhancement at the D sJ (3040) + position and find it consistent with a UP assignment. This measurement is in agreement with expectations from recent calculations of the charm and charm-strange mesons spectra [21] which predict a value of 0.058 for this ratio. A spinparity analysis of the decay D * s2 (2573) + → D * + K 0 S supports the natural parity assignment.…”

“…The expected spectrum for D + s mesons has recently been recomputed in refs. [20,21]. In particular, ref.…”

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

“…The low-lying excitations are generally in agreement with expectations from quark-potential models [3] with some notable exceptions: the lightest scalar, D s0 (2317), and axial vector, D s1 (2460), charm-strange mesons were expected to be broad and above the relevant strong-decay threshold (DK and D K respectively), but they were both observed to be narrow and below threshold. A number of possible explanations have been put forward [2,4]. On the other hand, the corresponding charm-light mesons, D 0 (2400) and D 1 (2430), were both observed, as expected, to be broad resonances.…”

“…Above this, we do not have many energy levels to constrain the scattering amplitude and hence we see a dramatic reduction on the constraint we can place on the phases. 2 In the right panels of figure 10, we show the quantity ρ i ρ j |t ij | 2 , where the size of the bands include the parametrisations from table 11 with χ 2 /N dof < 1.9. There appears to be very little parametrisation dependence in this quantity with all features, including the large "peak" in the Dπ → Dπ channel just above the Dπ threshold, remaining intact.…”

“…Over the last few years, a number of new states have been observed in both the charm-light (isospin-1/2, strangeness-0) D meson and the charm-strange (isospin-0, strangeness-1) D s meson systems and experiments continue to investigate their properties and find additional states [1,2]. The intermediate mass scale of the charm quark means that these systems -1 -…”