Helicity Amplitude Analysis of ${Z_{\rm c}(3900)^\pm}$ in ${e^+e^-}\to\pi^+\pi^-{J/\psi}$
Rong-Gang Ping1** , J. G. Messchendorp2 , Chang-Zheng Yuan1
1 Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 1000492 KVI-CART, University of Groningen, Groningen NL-9747 AA, Netherlands
Abstract ：It is crucial to determine the spin and parity ($J^{P}$) of ${Z_{\rm c}(3900)^\pm}$ for understanding its structure. We perform a helicity amplitude analysis on ${Z_{\rm c}(3900)^\pm}$ in the process ${e^+e^-}\to\pi^+\pi^-{J/\psi}$ with the hypotheses $J^{P}=0^-$, $1^+$, $1^-$, $2^+$ and $2^-$. To estimate the significance of $J^{P}=1^+$ over other hypotheses, we perform a Monte Carlo simulation study, and we also discuss the prospect of measuring the spin parity in the future experiment with a large data sample.
收稿日期: 2016-03-10
出版日期: 2016-06-30
[1] Ablikim M et al 2013 Phys. Rev. Lett. 110 252001 [2] Liu Z Q et al 2013 Phys. Rev. Lett. 110 252002 [3] Xiao T, Dobbs S, Tomaradze A and Seth K K 2013 Phys. Lett. B 727 366 [4] Ablikim M et al 2014 Phys. Rev. Lett. 112 022001 [5] Voloshin M B 2013 Phys. Rev. D 87 091501(R) [6] Maiani L, Riquer V, Faccini R, Piccinini F, Pilloni A and Polosa A D 2013 Phys. Rev. D 87 111102 Ahmed A, Christian H and Wang W 2012 Phys. Rev. D 85 054011 [7] Guo F K, Carlos H D, Juan N and Manuel P V 2013 Phys. Rev. D 88 054007 Wilbring E, Hammer W and Mei?ner G 2013 Phys. Lett. B 726 326 Cui C Y, Liu Y L, Chen W B and Huang M Q 2014 J. Phys. G 41 075003 Zhou Z Y and Xia Z G 2015 arXiv:1505.0576 [8] Wang Q, Christoph H and Zhao Q 2013 Phys. Rev. Lett. 111 132003 Li G 2013 Eur. Phys. J. C 73 2621 [9] Chen D Y, Liu X and Takayuki M 2013 Phys. Rev. Lett. 110 232001 [10] Chung S U 1998 Phys. Rev. D 57 431 Chung S U 1993 Phys. Rev. D 48 1225 [11] Olive K A et al 2014 Chin. Phys. C 38 090001 [12] Deng Z Y et al 2006 High Energy Phys. Nucl. Phys. 30 371
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
2016, Vol. 33 
