Strong decays of $D_J(3000)$ and $D_{sJ}(3040)$

Abstract

In this paper, we systematically calculate two-body strong decays of newly observed D J (3000) and D sJ (3040) with 2P(1 + ) and 2P(1 +′ ) assignments in an instantaneous approximation of the Bethe-Salpeter equation method. Our results show that both resonances can be explained as the 2P(1 + ′ ) with broad width via 3 P 1 and 1 P 1 mixing in D and D s families. For D J (3000), the total width is 229.6 MeV in our calculation, close to the upper limit of experimental data, and the dominant decay channels are D * 2 π, D * π, and D * (2600)π. For D sJ (3040), the total width is 157.4MeV in our calculation, close to the lower limit of experimental data, and the dominant channels are D * K and D * K * . These results are consistent with observed channels in experiments. Given the very little information that has been obtained from experiments and the large error bars of the total decay widths, we recommend the detection of dominant channels in our calculation.

The charmed mesons in the region above 3.0 GeV

“…( 10). (11) and for the flattened CP with the parameters ( 14) (m q = 0, m c = 1.435 GeV), and the mass shifts ∆(nJ) (in MeV)…”

“…Recently new charmed mesons in the region (3.0 -3.2) GeV were observed [1-5] and theoretical studies of their quantum numbers, hadronic decays, and other properties were presented [6][7][8][9][10][11][12][13]. The new structures, D * 2 (3000) 0 with J P = 2 + , D(3000) 0 and D * J (3000) 0 , have rather large excitation energies (above the ground states), E ∼ 1 GeV, which, however, remain significantly smaller than those in the charmonium family, where the maximal excitation energy E max (cc) = M(ψ(4660)) − M(J/ψ) = 1.546(9) GeV and in light mesons M(ρ(2150)) − M(ρ(1S)) ∼ 1.40(5) GeV.…”

“…in the range up to 3.6 GeV and theoretical studies of the cq spectrum were already presented in different approaches: in relativistic potential models [6,10,13,14], the relativistic string model [15,16], and other approaches [9,11,12]. However, the predicted masses of high excitations, even within the same relativistic Hamiltonian, strongly depend on the parameters used [6,13,14], in particular, on the value of the string tension of the confining potential (CP).…”

“…The masses (in MeV) and the sizes d(nL) (in fm) of high D meson for the linear+ GE potential with the parameters from(11) …”