Production of double heavy quarkonia at super Z factory

被引：5

作者：

Liao, Qi-Li ^{[1
]}

Jiang, Jun ^{[2
]}

Zhao, Yu-Han ^{[2
]}

机构：

[1] Chongqing Coll Mobile Telecommun, Chongqing 401520, Peoples R China

[2] Shandong Univ, Sch Phys, Jinan 250100, Shandong, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL C | 2023年 / 83卷 / 01期

基金：

中国国家自然科学基金;

关键词：

HADRONIC PRODUCTION; CHARMONIUM; ANNIHILATION; DECAY;

D O I：

10.1140/epjc/s10052-023-11174-x

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Within the color singlet model, we calculate the exclusive production of double charmonia, double bottomonia, and double Bc mesons at future super Z factory. The two heavy quarkonia or Bc's are either two S-wave Fock states (1S0, 3S1), or one S-wave and one P-wave states (1P1, 3PJ (J = 0, 1, 2)). The top three Z0 propagated channels in cross sections for double charmonia are sigma (J/psi +hc)Z0 = (454.0+39.1 -59.2) x 10-5fb, sigma (eta c + chi c2)Z0 = (284.2+22.2 -35.3)x10-5 f b, and sigma(eta c + chi c0)Z0 = (137.0+9.9 -16.4)x 10-5 f b. For double bottomonia, they are sigma(eta b+ upsilon)Z0 = (428.6+67.9 -60.9) x 10-4 f b, sigma(upsilon + chi b2)Z0 = (230.6+23.6 -22.2) x 10-4 f b, and sigma(upsilon + upsilon)Z0 = (119.9+18.4 -16.6) x 10-4 f b. For double Bc mesons, they are sigma(B & lowast;+ c + B & lowast;- c )Z0 = (1150+87 -84) x10-3 f b, sigma(Bc & lowast;++ chi b-c2)Z0 = (1133-16 +22) x 10-3 f b, and sigma(eta b+c+B & lowast;- c )Z0 = (634.6+47.8 -45.8) x 10-3 f b. Here the uncertainties come from the varying masses of constituent heavy quarks, which bring up to 20% corrections. The cross sections of double Bc mesons are roughly one order of magnitude larger than those of the double bottomonia, and two orders of magnitude larger than those of the double charmonia. To make it helpful for experimental study, we present the total cross sections sigma as functions of CM energy root s, sigma as functions of the renormalization scale mu, the angle distributions d sigma/dcos theta, and the pT distributions d sigma/dpt. We also find that the initial state radiation can bring about 30- 40% suppresions when 1%mZ energy is losing, and cross sections can increase by about 2-3 times or decrease by an order of magnitude when adopting different potential models which becomes the major source of uncertainty. The numerical results show that it might be not optimistic for the experimental observation, but it is still far from excluded at the FCC-ee and also the CEPC running in the Z factory mode.

引用

页数：13

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