Production of the weakly bound Tcc+ state combining the coalescence model with its mass spectrum
Abstract
We investigate the production of the doubly charmed molecular state Tcc+ within the coalescence model. The formation probability is evaluated with the Wigner distribution function. In contrast to previous studies, which usually adopt a Gaussian wave function, we obtain the molecular wave function by numerically solving the coupled-channel Schrödinger equation with the one-boson-exchange potential fitted to the mass spectrum of Tcc+. The resulting wave function, well described by a Lorentzian in momentum space (a Yukawa-type exponential in coordinate space), is the universal form of a weakly bound S-wave molecule and thus more suitable for such a state. As the input of the coalescence model, we use the transverse-momentum distributions of the constituent D and D* mesons fitted to the ALICE and LHCb data, and also generated by PYTHIA for comparison. We compute the transverse-momentum distributions of Tcc+ in pp and Pb-Pb collisions. The resulting spectrum, together with its insensitivity to the binding energy, highlights the universal character of the coalescence production of a weakly bound molecule, which is governed by the long-range tail of the wave function rather than by short-range details. These results provide a theoretical reference for future experimental measurements of Tcc+.
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BibTeX
@misc{wang2026production,
title = {{Production of the weakly bound $T_cc^+$ state combining the coalescence model with its mass spectrum}},
author = {Ao Wang and Yu-Shan Ren and Zhi Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29392},
eprint = {2610.29392},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29392},
}
RIS
TY - UNPB
TI - Production of the weakly bound T_cc^+ state combining the coalescence model with its mass spectrum
AU - Ao Wang
AU - Yu-Shan Ren
AU - Zhi Yang
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29392
UR - https://arxiv.org/abs/2610.29392
AB - We investigate the production of the doubly charmed molecular state T_cc^+ within the coalescence model. The formation probability is evaluated with the Wigner distribution function. In contrast to previous studies, which usually adopt a Gaussian wave function, we obtain the molecular wave function by numerically solving the coupled-channel Schrödinger equation with the one-boson-exchange potential fitted to the mass spectrum of T_cc^+. The resulting wave function, well described by a Lorentzian in momentum space (a Yukawa-type exponential in coordinate space), is the universal form of a weakly bound S-wave molecule and thus more suitable for such a state. As the input of the coalescence model, we use the transverse-momentum distributions of the constituent D and D^* mesons fitted to the ALICE and LHCb data, and also generated by PYTHIA for comparison. We compute the transverse-momentum distributions of T_cc^+ in pp and Pb-Pb collisions. The resulting spectrum, together with its insensitivity to the binding energy, highlights the universal character of the coalescence production of a weakly bound molecule, which is governed by the long-range tail of the wave function rather than by short-range details. These results provide a theoretical reference for future experimental measurements of T_cc^+.
ER -