The quasi-fission phenomenon of double charm induced by nucleon

Jun He; Xiang Liu

doi:10.1140/epjc/s10052-022-10363-4

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2022) 82: 387
https://doi.org/10.1140/epjc/s10052-022-10363-4

Regular Article - Theoretical Physics

The quasi-fission phenomenon of double charm $T_{cc}^{+}$ $T_{cc}^+$ induced by nucleon

Jun He¹^,2 and Xiang Liu²^,3^,4^,5^b

¹ Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, 210097, Nanjing, China
² Lanzhou Center for Theoretical Physics, Lanzhou University, 730000, Lanzhou, China
³ School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China
⁴ Key Laboratory of Theoretical Physics of Gansu Province, and Frontiers Science Center for Rare Isotopes, Lanzhou University, 730000, Lanzhou, China
⁵ Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, 730000, Lanzhou, China

^b xiangliu@lzu.edu.cn

Received: 12 March 2022
Accepted: 22 April 2022
Published online: 30 April 2022

Abstract

In this work, we study the reaction of a nucleon and a doubly charmed state $T_{cc}^{+}$ $T^+_{cc}$ . Under the assumption of the $T_{cc}^{+}$ $T^+_{cc}$ as a molecular state of $D^{*} D$ $D^{*}D$ , the reaction of the nucleon and $T_{cc}$ $T_{cc}$ is mediated by exchanges of $π$ $\pi$ , $η$ $\eta$ , $ρ$ $\rho$ , and $ω$ $\omega$ meson, which results in split of $T_{cc}$ $T_{cc}$ state with two D mesons in final state. With the help of the effective Lagrangians, the cross section of $p + T_{cc}^{+} \to p + D^{+} + D^{0}$ $p+T^+_{cc}\rightarrow p+D^++D^0$ process is calculated, and a very large cross section can be obtained with very small incoming momentum of proton. It decrease rapidly with the increase of the momentum to about 10 mb at momenta of order of GeV. Such large cross section suggests that induced by a proton the $T_{cc}^{+}$ $T_{cc}^+$ state is very easy to decay and transit to two D mesons. In the rest frame of the $T_{cc}^{+}$ $T_{cc}^+$ state, an obvious accumulation of final D meson at small momentum region can be observed in predicted Dalitz plot, which is due to the molecular state interpretation of $T_{cc}^{+}$ $T^+_{cc}$ state. This novel quasi-fission phenomenon of double charm molecular $T_{cc}^{+}$ $T_{cc}^+$ state induced by a proton can be accessible at High-Luminosity Large Hadron Collider.

© The Author(s) 2022

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.