Nodal filtering in open-charm decays of the ψ(4040)--ψ(4160) system
Abstract
Hadronic decay channels can provide direct information on the momentum-space structure of confined quark systems. We investigate this possibility in the ψ(4040)--ψ(4160) system using an instantaneous Bethe--Salpeter (BS) framework combined with a relativistic 3P0 decay model. The BS solutions yield nearby bare 3 3S1 and 2 3D1 states at 4051 and 4110 MeV, respectively, whose opposite displacements from the physical vector states motivate an effective two-state level-repulsion description. By comparing the matched open-charm channels DD̅, DD̅*+c.c., DsD̅s, and DsD̅s*+c.c. with the same leading P-wave threshold behavior, we show that channel-dependent overlap kernels act as momentum-space nodal filters. At M=4146 MeV, the PV/PP width ratio is 0.253 in the nonstrange sector but 1.63 in the strange sector, reversing the ordering expected from phase space alone. The momentum-resolved amplitudes reveal that different channels weight opposite sides of the same 2D nodal region differently, leading to distinct cancellation patterns and a common recoil condition, Pf≃0.775 GeV, for charge-resolved DD̅* amplitude zeros. These results establish open-charm decays as a probe of momentum-space wave-function structures in heavy quarkonium.
Related
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BibTeX
@misc{wan2026nodal,
title = {{Nodal filtering in open-charm decays of the $ψ(4040)$--$ψ(4160)$ system}},
author = {Bing-Dong Wan},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.06377},
eprint = {2609.06377},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.06377},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nodal filtering in open-charm decays of the ψ(4040)--ψ(4160) system
AU - Bing-Dong Wan
PY - 2026
DA - 2026/09/06
PB - arXiv
DO - 10.48550/arxiv.2609.06377
UR - https://arxiv.org/abs/2609.06377
AB - Hadronic decay channels can provide direct information on the momentum-space structure of confined quark systems. We investigate this possibility in the ψ(4040)--ψ(4160) system using an instantaneous Bethe--Salpeter (BS) framework combined with a relativistic ^3P_0 decay model. The BS solutions yield nearby bare 3 ^3S_1 and 2 ^3D_1 states at 4051 and 4110 MeV, respectively, whose opposite displacements from the physical vector states motivate an effective two-state level-repulsion description. By comparing the matched open-charm channels DD̅, DD̅^*+c.c., D_sD̅_s, and D_sD̅_s^*+c.c. with the same leading P-wave threshold behavior, we show that channel-dependent overlap kernels act as momentum-space nodal filters. At M=4146 MeV, the PV/PP width ratio is 0.253 in the nonstrange sector but 1.63 in the strange sector, reversing the ordering expected from phase space alone. The momentum-resolved amplitudes reveal that different channels weight opposite sides of the same 2D nodal region differently, leading to distinct cancellation patterns and a common recoil condition, P_f≃0.775 GeV, for charge-resolved DD̅^* amplitude zeros. These results establish open-charm decays as a probe of momentum-space wave-function structures in heavy quarkonium.
ER -