Implication of the observed for studying the process

Hao Xu; Ju-Jun Xie; Xiang Liu

doi:10.1140/epjc/s10052-016-4054-4

EPJ

Implication of the observed $e^{+}e^{-}\rightarrow p{\bar{p}}\pi ^0$ for studying the $p{\bar{p}}\rightarrow \psi (3770)\pi ^0$ process

Hao Xu¹^,2, Ju-Jun Xie¹^,3^,4 and Xiang Liu¹^,2^,4^*

¹ Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou, 730000, China
² School of Physical Science and Technology, Lanzhou University, Lanzhou, 730000, China
³ Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China
⁴ State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China

Received: 2 February 2016
Accepted: 30 March 2016
Published online: 9 April 2016

Abstract

We study the charmonium $p \bar{p} \rightarrow \psi (3770) \pi ^0$ reaction using the effective Lagrangian approach where the contributions from well-established $$N^*$$

states are considered, and all parameters are fixed in the process of $e^+e^- \rightarrow p \bar{p}\pi ^0$ at center of mass energy $\sqrt{s} = 3.773$ GeV. The experimental data on the line shape of the mass distribution of the $e^+e^- \rightarrow p\bar{p}\pi ^0$ can be well reproduced. Based on the study of $e^+e^- \rightarrow p \bar{p}\pi ^0$ , the total and differential cross sections of the $p \bar{p} \rightarrow \psi (3770) \pi ^0$ reaction are predicted. At the same time we evaluated also the cross sections of the $p \bar{p} \rightarrow \psi (3686) \pi ^0$ reaction. It is shown that the contribution of the nucleon pole to this reaction is largest close to the reaction threshold. However, the interference between nucleon pole and the other nucleon resonance can still change the angle distributions significantly. Those theoretical results may be tested by the future experiments at $\overline{\text{ P }}$ ANDA.

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EPJ

Implication of the observed for studying the process

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Implication of the observed $e^{+}e^{-}\rightarrow p{\bar{p}}\pi ^0$ for studying the $p{\bar{p}}\rightarrow \psi (3770)\pi ^0$ process