dorsal/arxiv
View SchemaQuarkonium light-cone distribution amplitudes: twist structure and mass dependence
| Authors | Shuai Xu, Xiao-Nan Li, Jin-Zhong Han, Bai-hui Cheng, Li-li Chen, Qin Chang |
|---|---|
| Categories | |
| ArXiv ID | 2601.06825vv1 |
| URL | https://arxiv.org/abs/2601.06825 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We present a systematic study of the leading- and next-to-leading-twist light-cone distribution amplitudes (LCDAs) of ground-state pseudoscalar and vector quarkonium within the light-front quark model (LFQM). By implementing the replacement $M \to M_0$, we analyze the longitudinal and transverse structures of the LCDAs, together with their Gegenbauer moments, $\xi$-moments, and transverse momentum moments. We show that charge-conjugation symmetry enforces the exact vanishing of all odd Gegenbauer moments and odd $\xi$-moments. For pseudoscalar quarkonium, the twist-2 and twist-3 LCDAs become identical, which lead to their Gegenbauer moments, $\xi$-moments, and transverse momentum moments are the same, respectively. For vector quarkonium, although the twist-2 and twist-3 LCDAs differ in the case of masses quark, they progressively converge as the quark mass increases. In the heavy-quark limit, all quarkonium LCDAs satisfy $\phi^A_{2} = \phi^P_{3} \simeq \phi^{\parallel}_{2} \simeq \phi^{\perp}_{3}$, demonstrating an emergent twist-independence of quarkonium distribution amplitudes. We further find that the LCDAs become increasingly peaked and narrower with increasing quark mass, reflecting the meson system becomes increasingly close to a nonrelativistic bound state, with a more uniform and stable distribution of internal longitudinal momentum. For all quarkonium, the peak value exhibits a simple phenomenological scaling behavior governed by the ratio $m/\beta$. The transverse momentum moments increase with the meson mass, indicating a progressively more compact bound-state structure. These results reveal a universal and systematic evolution of quarkonium LCDAs driven by the quark mass.
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"abstract": "We present a systematic study of the leading- and next-to-leading-twist light-cone distribution amplitudes (LCDAs) of ground-state pseudoscalar and vector quarkonium within the light-front quark model (LFQM). By implementing the replacement $M \\to M_0$, we analyze the longitudinal and transverse structures of the LCDAs, together with their Gegenbauer moments, $\\xi$-moments, and transverse momentum moments. We show that charge-conjugation symmetry enforces the exact vanishing of all odd Gegenbauer moments and odd $\\xi$-moments. For pseudoscalar quarkonium, the twist-2 and twist-3 LCDAs become identical, which lead to their Gegenbauer moments, $\\xi$-moments, and transverse momentum moments are the same, respectively. For vector quarkonium, although the twist-2 and twist-3 LCDAs differ in the case of masses quark, they progressively converge as the quark mass increases. In the heavy-quark limit, all quarkonium LCDAs satisfy $\\phi^A_{2} = \\phi^P_{3} \\simeq \\phi^{\\parallel}_{2} \\simeq \\phi^{\\perp}_{3}$, demonstrating an emergent twist-independence of quarkonium distribution amplitudes. We further find that the LCDAs become increasingly peaked and narrower with increasing quark mass, reflecting the meson system becomes increasingly close to a nonrelativistic bound state, with a more uniform and stable distribution of internal longitudinal momentum. For all quarkonium, the peak value exhibits a simple phenomenological scaling behavior governed by the ratio $m/\\beta$. The transverse momentum moments increase with the meson mass, indicating a progressively more compact bound-state structure. These results reveal a universal and systematic evolution of quarkonium LCDAs driven by the quark mass.",
"arxiv_id": "2601.06825",
"authors": [
"Shuai Xu",
"Xiao-Nan Li",
"Jin-Zhong Han",
"Bai-hui Cheng",
"Li-li Chen",
"Qin Chang"
],
"categories": [
"hep-ph"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Quarkonium light-cone distribution amplitudes: twist structure and mass dependence",
"url": "https://arxiv.org/abs/2601.06825",
"version": "v1"
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