The charmed mesons in the region above 3.0 GeV

Abstract

The masses of excited charmed mesons are shown to decrease by ∼ (50−150) MeV due to a flattening of the confining potential at large distances, which effectively takes into account open decay channels. The scale of the mass shifts is similar to that in charmonium for ψ(4660) and χ c0 (4700). The following masses of the first excitations:MeV, and M (2 3 D 3 ) = 3187 MeV, and second excitations: M (3 1 S 0 ) = 3008 MeV, M (3 3 S 1 ) = 3062 MeV, M (3 3 P 0 ) = 3229 MeV, and M (3 3 P 2 ) = 3264 MeV, are predicted. The other states with L = 0, 1, 2 and n r ≥ 3 have their masses in the region M (nL) ≥ 3.3 GeV. I. INTRODUCTIONRecently 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. Therefore, according to modern representations about the structure of conventional mesons, one can expect of charmed resonances to exist

A review on partial-wave dynamics with chiral effective field theory and dispersion relation

“…Of course, a view from the whole meson spectrum might shed more light on the nature of these states including the σ resonance. There is another idea that the σ and f 0 (1370) could have some connections so that they cannot be treated independently [88,92,140,147,153,[180][181][182][183], which is illustrated in a clear way in a recent progress of a relativistic Friedrichs-Lee (FL) scheme combined with the relativistic QPC model [88,92]. Although it is a model calculation, unitarity is satisfied and a dispersive relation function can be obtained by its dynamics.…”

“…There are also other interesting studies referring to the κ. In [92,147,180], κ and the K * 0 (1430) both come from the ds state coupling to the IJ = 1/20πK continuum. κ appears as a dynamically generated pole and the bare ds is shifted to become the K * 0 (1430), and both pole's positions are in coincidence with the values obtained from the dispersive techniques or experiments.…”

Decay processes of a pseudoscalar $D(2900)$

“…Such mechanisms imply a suppressed partial widths to such channels. Thus, our state can be distinguished from the states predicted within the quark model calculations [5][6][7][8][9][10][11][12][13][14][15][16]. We hope that our present study can be useful in investigation of charm meson in the region around 3000 MeV.…”

“…Different model calculations have been presented in Refs. [5][6][7][8][9][10][11][12][13][14][15][16] to understand the properties of D J (3000), within relativistic formalisms and by considering a variety of potentials, like, an effective interaction arising from the sum of a one-gluon exchange term and longrange confining potentials, those based on heavy quark symmetry and chiral symmetry, etc.…”

“…On the basis of other arguments, Refs. [10,11,15] suggest 3 1 S 0 to be the favored quantum numbers and find significant branching ratios for the decay to Dρ, D * ρ, D * π, etc.…”