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Article overview
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Exclusive charmonium production from $e^+ e^-$ annihilation round the $Z^0$ peak | | Gu Chen
; Xing-Gang Wu
; Zhan Sun
; Sheng-Quan Wang
; Jian-Ming Shen
; | | Date: |
25 Aug 2013 | | Abstract: | We make a comparative and comprehensive study on the charmonium exclusive
productions at the $e^+e^-$ collider with the collision energy either around
the $Z^0$-boson mass for a super $Z$ factory or equals to 10.6 GeV for the $B$
factories as Belle and BABAR. We study the total cross sections for the
charmonium production via the exclusive processes $e^+e^- o gamma^*/Z^0 o
H_{1}+H_{2}$ and $e^+e^- o gamma^*/Z^0 o H_{1} +gamma$, where $H_{1}$ and
$H_{2}$ represent the dominant color-singlet $S$-wave and $P$-wave charmonium
states respectively. Total cross sections versus the $e^+e^-$ collision energy
$sqrt{s}$, together with their uncertainties, are presented, which clearly
show the relative importance of these channels. At the $B$ factory, the
production channels via the virtual $gamma^*$ propagator are dominant over the
channels via the $Z^0$ propagator by about four orders. While, at the super $Z$
factory, due to the $Z^0$-boson resonance effect, the $Z^0$ boson channels
shall provide sizable or even dominant contributions in comparison to the
channels via the $gamma^*$ propagator. Sizable exclusive charmonium events can
be produced at the super $Z$ factory with high luminocity up to $10^{36}{
m
cm}^{-2}{
m s}^{-1}$, especially for the channel of $e^+e^- o Z^0 o H_{1}
+gamma$, e.g. by taking $m_c=1.50pm0.20$ GeV, we shall have
$(5.0^{+0.8}_{-0.6}) imes10^4$ $J/psi$, $(7.5^{+1.1}_{-0.9}) imes10^3$
$eta_c$, $(6.2^{+3.3}_{-1.9}) imes10^3$ $h_{c}$,
$(3.1^{+1.7}_{-0.9}) imes10^2$ $chi_{c0}$, $(2.2^{+1.0}_{-0.4}) imes10^3$
$chi_{c1}$, and $(7.7^{+4.1}_{-2.4}) imes10^2$ $chi_{c2}$ events by one
operation year. Thus, in addition to the $B$ factories as BABAR and Belle, such
a super $Z$ factory shall provide another useful platform for studying the
heavy quarkonium properties and for testing QCD theories. | | Source: | arXiv, 1308.5375 | | Services: | Forum | Review | PDF | Favorites | |
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