Search for C = + charmonium and XYZ states in e + e − → γ + H at BESIII

Abstract

Within the framework of nonrelativistic quantum chromodynamics, we study the production of C = + charmonium states H in e + e − → γ + H at BESIII with H = η c (nS) (n=1, 2, 3, and 4), χ cJ (nP) (n=1, 2, and 3), and 1 D 2 (nD) (n=1 and 2). The radiative and relativistic corrections are calculated to next-to-leading order for S and P wave states. We then argue that the search for C = + XY Z states such as X(3872), X(3940), X(4160), and X(4350) in e + e − → γ + H at BESIII may help clarify the nature of these states. BESIII can search for XY Z states through two body process e + e − → γH, where H decay to J/ψπ + π − , J/ψφ, or DD. This result may be useful in identifying the nature of C = + XY Z states. For completeness, the production of C = + charmonium in e + e − → γ + H at B factories is also discussed.

The hidden-charm pentaquark and tetraquark states

“…Its production in e + e − annihilations was studied in Refs. [700,701,702]. Its production in high energy heavy ion collisions was studied in Ref.…”

α s v 2 corrections to η c and χ cJ production recoiled with a photon at e + e − colliders

“…[73] and the charm quark mass is set to half of the meson mass in ref. [72]. Furthermore, as stated in refs.…”

“…99 ± 27 ± 5 ± 117 155 ± 42 ± 10 ± 93 176 ± 48 ± 12 ± 76 3S OP 101 ± 27 ± 5 ± 7 142 ± 38 ± 8 ± 12 153 ± 41 ± 9 ± 14 3S WP −74 ± 20 ± 5 ± 95 19 ± 5 ± 0.4 ± 73 65 ± 18 ± 4 ± 58 4S OP 58 ± 44 ± 3 ± 4 81 ± 64 ± 5 ± 7 4S WP −52 ± 39 ± 4 ± 59 6 ± 4 ± 0.1 ± 46 √ s (GeV) 5.00 10.6 11.2 1S OP 674±192±45±85±100 55±16±2±8±5 45±13±2±7±4 1S WP 607±173±41±130±103 54±15±2±9±5 44±13±2±7±4 2S OP 247 ± 68 ± 17 ± 29 25 ± 7 ± 1 ± 4 20 ± 6 ± 1 ± 3 2S WP 179 ± 49 ± 13 ± 63 24 ± 7 ± 1 ± 4 20 ± 5 ± 1 ± 4 3S OP 151 ± 41 ± 10 ± 16 18 ± 5 ± 1 ± 3 15 ± 4 ± 1 ± 2 3S WP 87 ± 23 ± 6 ± 48 18 ± 5 ± 1 ± 3 15 ± 4 ± 1 ± 3 4S OP 93 ± 70 ± 6 ± 9 14 ± 11 ± 1 ± 2 12 ± 9 ± 1 ± 2 4S WP 36 ± 27 ± 2 ± 37 13 ± 10 ± 1 ± 3 11 ± 8 ± 1 ± 2 Table 6 presents the total cross sections up-to α s v 2 order for χ c0 process with the uncertainties. The positive O(α s ) corrections and negative O(v 2 ) corrections cancel to each other in the BESIII energy region [72], but O(α s v 2 ) parts also contribute negative corrections which decrease the LO cross sections significantly even to a negative values. And the uncertainties are too large compared with the central values to give a reliable prediction for χ c0 processes in the BESIII energy region.…”

“…The LO contribution for heavy quarkonium with even charge conjugation recoiled with a hard photon in the e + e − annihilation at the B factories and BESIII is a pure QED process [67,68]. The NLO radiative corrections have been computed and analyzed [69][70][71][72][73]. And the NLO relativistic corrections have been computed too [70,72].…”

“…The NLO radiative corrections have been computed and analyzed [69][70][71][72][73]. And the NLO relativistic corrections have been computed too [70,72]. Quarkonia with even charge conjugation are associated to the XY Z particles [74][75][76].…”