Photoproduction of $P$-wave doubly charmed baryon at future $e^+e^-$ collider

TL;DR

This paper investigates the production of P-wave doubly charmed baryons in future electron-positron colliders, highlighting the importance of resolved photon processes and comparing P-wave and S-wave production rates.

Contribution

It provides the first detailed calculation of P-wave doubly charmed baryon photoproduction at $e^+e^-$ colliders, including various diquark configurations within the non-relativistic QCD framework.

Findings

Resolved photoproduction processes are significant and can dominate the production.

P-wave $\\Xi_{cc}$ production rate is about ten times lower than S-wave.

Differential distributions for transverse momentum, rapidity, and angles are computed.

Abstract

The photoproduction of $P$-wave doubly charmed baryon ($\Xi_{cc}$) is investigated in the context of future high-energy and high-luminosity $e^+e^-$ colliders. The direct photoproduction via the sub-process $\gamma+\gamma \rightarrow \Xi_{cc} +\bar{c}+\bar{c}$ and the resolved channel $\gamma+g \rightarrow \Xi_{cc} +\bar{c}+\bar{c}$ are considered. Within the framework of non-relativistic QCD, the calculation encompasses four $P$-wave $(cc)$-diquark configurations: $(cc)_{\bar{\textbf{3}}}[{}^1P_1]$, $(cc)_{\textbf{6}}[{}^3P_0]$, $(cc)_{\textbf{6}}[{}^3P_1]$ and $(cc)_{\textbf{6}}[{}^3P_2]$. The two $S$-wave states, $(cc)_{\bar{\textbf{3}}}[{}^3S_1]$ and $(cc)_{\textbf{6}}[{}^1S_0]$, are also included for comparison. The cross sections, as well as the differential distributions involving transverse momentum, rapidity, and angular variables, have been computed. Numerical results reveal that the resolved photoproduction process plays a significant role and can provide dominant contributions. The photoproduction rate of the $P$-wave $\Xi_{cc}$ is approximately one order of magnitude lower than that of the $S$-wave.