Saved in:
Bibliographic Details
Main Authors: Liu, Lei, Xiao, Yanmei, Guo, Tao
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.22177
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866915309876674560
author Liu, Lei
Xiao, Yanmei
Guo, Tao
author_facet Liu, Lei
Xiao, Yanmei
Guo, Tao
contents Heavy flavor hadrons, especially doubly heavy baryons and doubly heavy tetraquarks, have always received extensive attention in theoretical and experimental research. Given the separation of quark masses $m_Q \gg m_q$ ($Q = c, b$ and $q = u, d, s$), this type of heavy flavor hadrons can be well regarded as hydrogen-like structures in the strong interaction. In the theoretical framework of Born-Oppenheimer approximation, we derive the Schr{ö}dinger equation for the motion of light quarks in the effective potential field of heavy quarks. Taking proper account of the color-spin hyperfine interaction, we carry out a systematic study on the mass spectra of $S$-wave doubly heavy baryons and doubly heavy tetraquarks. The model parameters required for the calculation are obtained by fitting conventional hadrons. The investigation on the doubly heavy baryon systems indicates the reliability of our theoretical approach. Our calculation results show that the experimentally discovered $T_{cc}^+$ is most likely a compact tetraquark $|(cc)_0^{6}(\bar{u}\bar{d})_1^{\bar{6}}\rangle$ state with quantum numbers $(I,J^P)=(0, 1^+)$. Forthermore, for different quantum number assignments, some stable tetraquark states are found and may be very narrow peaks. The predictions for other heavy flavor hadrons are expected to be confirmed in new theories and future experiments.
format Preprint
id arxiv_https___arxiv_org_abs_2505_22177
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hydrogen-like structures in the strong interaction
Liu, Lei
Xiao, Yanmei
Guo, Tao
High Energy Physics - Phenomenology
Heavy flavor hadrons, especially doubly heavy baryons and doubly heavy tetraquarks, have always received extensive attention in theoretical and experimental research. Given the separation of quark masses $m_Q \gg m_q$ ($Q = c, b$ and $q = u, d, s$), this type of heavy flavor hadrons can be well regarded as hydrogen-like structures in the strong interaction. In the theoretical framework of Born-Oppenheimer approximation, we derive the Schr{ö}dinger equation for the motion of light quarks in the effective potential field of heavy quarks. Taking proper account of the color-spin hyperfine interaction, we carry out a systematic study on the mass spectra of $S$-wave doubly heavy baryons and doubly heavy tetraquarks. The model parameters required for the calculation are obtained by fitting conventional hadrons. The investigation on the doubly heavy baryon systems indicates the reliability of our theoretical approach. Our calculation results show that the experimentally discovered $T_{cc}^+$ is most likely a compact tetraquark $|(cc)_0^{6}(\bar{u}\bar{d})_1^{\bar{6}}\rangle$ state with quantum numbers $(I,J^P)=(0, 1^+)$. Forthermore, for different quantum number assignments, some stable tetraquark states are found and may be very narrow peaks. The predictions for other heavy flavor hadrons are expected to be confirmed in new theories and future experiments.
title Hydrogen-like structures in the strong interaction
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2505.22177