D -wave charmonia

Abstract

Inspired by the recent observations of the vector charmoniumlike states at BES III Collaboration and ψð3842Þ at LHCb Collaboration, we comb the D wave charmonium state in the present work. We first evaluate the possibility of Yð4320Þ as ψð3 3 D 1 Þ by investigating its open charm decays in the quark-pair creation model and we find the width of Yð4320Þ can be reproduced in a reasonable parameter range. Moreover, we take ψð3770Þ, ψð4160Þ, and Yð4320Þ as the scale of 1D, 2D, and 3D charmonia to estimate the open charm decays of other D wave charmonia. The total and partial widths of D wave charmonium states have been predicted, which could be tested by further measurements at LHCb and Belle II Collaborations.

The possibility to study in-medium modification of J/ψ mesons from their photoproduction on nuclei near threshold in the case of presence of the LHCb pentaquark states Pc+(4312

“…(20) and (21) these cross sections are proportional to Br 2 [P + ci → J/ψp]. In line with [1], we get the following expression for the J/ψ total cross section for γA reactions from the production/decay chains (15), (16):…”

“…The free resonant total cross sections σ γp→P + ci →J/ψp ( √ s, Γ ci ) for J/ψ production in the two-step processes (15), (16) can be represented as follows [1]:…”

Recently observed Pc as molecular states and possible mixture of Pc(4457)

“…Notice that the interaction kernel K(s ⊥ ) is assumed to be instantaneous, thus has no dependence on the time component of the momentum transfer s = (k − q). Let us focus on the three-dimensional BSE (35). We can see that, the Salpeter wave function ϕ α (q ⊥ ) in Eq.…”

“…With above preparations, we are ready to transform Eqs. (35) and (43) into a set of coupled eigenvalue equations. For example, inserting the Salpeter wave function (46) into Eq.…”

“…Although many papers (such as Refs. [22,35]) have confirmed their molecular nature, it is still necessary to examine it from a different approach. Furthermore, the old P c (4450) splits into P c (4440) and P c (4457), so are there any chances that three P c states may have finer structures considering the complexity of threshold interaction?…”