Abstract:We suggest searching for excited charmonium states in e + e − annihilation via double charmonium production at √ s = 10.6 GeV with B factories, based on a more complete leading order calculation including both QCD and QED contributions for various processes. In particular, for the C=+ states, the χ c0 (nP ) (n=2,3) and η c (mS) (m=3,4) may have appreciable potentials to be observed;while for the C=-states, the η c h c production and especially the χ c1 h c production might provide opportunities for observing t… Show more
“…[43]; the angular distribution of this process was also found to be consistent with pure S-wave production. Note that while the production amplitudes for the X * (3860) and χ c0 (1P ) are in mutual agreement, they do not agree with the NRQCD prediction [35]. In addition, the X * (3860) mass and width agree with the χ c0 (2P ) parameters determined from an alternative fit to the Belle and BABAR γγ → DD data performed in Ref.…”
Section: +88mentioning
confidence: 72%
“…This nonresonant amplitude model is denoted hereinafter as the NRQCD model (although, for the actual NRQCD calculation of the e + e − → ψχ c cross section, the χ c mass is set to 2m c [35]). …”
Section: Amplitude Analysis Formalismmentioning
confidence: 99%
“…[35]. The matrix element for the process e + e − → ψχ c is integrated over angle, and M DD is used instead of the χ c mass.…”
Observation of an alternative χ c0 (2P ) candidate in e + e − → J/ψDD We perform a full amplitude analysis of the process e + e − → J/ψDD, where D refers to either D 0 or D + . A new charmoniumlike state X * (3860) that decays to DD is observed with a significance of 6.5σ. Its mass is (3862 +26 −32 +40 −13 ) MeV/c 2 and width is (201 +154 −67 +88 −82 ) MeV. The J P C = 0 ++ hypothesis is favored over the 2 ++ hypothesis at the level of 2.5σ. The analysis is based on the 980 fb −1 data sample collected by the Belle detector at the asymmetric-energy e + e − collider KEKB.
“…[43]; the angular distribution of this process was also found to be consistent with pure S-wave production. Note that while the production amplitudes for the X * (3860) and χ c0 (1P ) are in mutual agreement, they do not agree with the NRQCD prediction [35]. In addition, the X * (3860) mass and width agree with the χ c0 (2P ) parameters determined from an alternative fit to the Belle and BABAR γγ → DD data performed in Ref.…”
Section: +88mentioning
confidence: 72%
“…This nonresonant amplitude model is denoted hereinafter as the NRQCD model (although, for the actual NRQCD calculation of the e + e − → ψχ c cross section, the χ c mass is set to 2m c [35]). …”
Section: Amplitude Analysis Formalismmentioning
confidence: 99%
“…[35]. The matrix element for the process e + e − → ψχ c is integrated over angle, and M DD is used instead of the χ c mass.…”
Observation of an alternative χ c0 (2P ) candidate in e + e − → J/ψDD We perform a full amplitude analysis of the process e + e − → J/ψDD, where D refers to either D 0 or D + . A new charmoniumlike state X * (3860) that decays to DD is observed with a significance of 6.5σ. Its mass is (3862 +26 −32 +40 −13 ) MeV/c 2 and width is (201 +154 −67 +88 −82 ) MeV. The J P C = 0 ++ hypothesis is favored over the 2 ++ hypothesis at the level of 2.5σ. The analysis is based on the 980 fb −1 data sample collected by the Belle detector at the asymmetric-energy e + e − collider KEKB.
“…It depends significantly on the structure of the Feynman amplitude and has to be calculated independently. For example, it is well known that such corrections lead to a significantly increasing factor K = 1.6 ÷ 1.9 to the cross section of charmonium pair production in e + e − annihilation [9][10][11]62]. On the other hand, recently it was found that the NLO α s contribution to the cross section of J/ψ pair production in pp-collisions for the LHCb rapidity range amounts to a value of order 10 % [63].…”
Section: Numerical Results and Discussionmentioning
confidence: 99%
“…The progress was initiated by experiments of the Belle and BaBar collaborations, which measured the cross sections of pair charmonium production in e + e − annihilation [2][3][4][5]. The importance of such reactions for the development of theoreta e-mail: a.p.martynenko@samsu.ru ical methods of their investigation was demonstrated in [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. An essential improvement in the theoretical description of the processes of quarkonium pair production was obtained with the assumption of a systematic account of relativistic and radiative corrections to nonrelativistic results.…”
On the basis of perturbative QCD and relativistic quark model we calculate relativistic and bound state corrections in the production processes of a pair of double heavy diquarks. Relativistic factors in the production amplitude connected with the relative motion of heavy quarks and the transformation law of the bound state wave function to the reference frame of the moving S-wave diquark bound states are taken into account. For the gluon and quark propagators entering the amplitudes we use a truncated expansion in relative quark momenta up to the second order. Relativistic corrections to the quark-quark bound state wave functions in the rest frame are considered by means of a Breit-like potential. It turns out that the examined effects significantly decrease the nonrelativistic cross sections.
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.
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