RT Journal Article
T1 Light-front wave functions of vector mesons in an algebraic model
A1 Almeida Zamora, Bilgai
A1 Cobos Martínez, J.J.
A1 Bashir, Adnan
A1 Raya, Khépani
A1 Rodríguez Quintero, José
A1 Segovia González, Jorge
AB Inspired by the recent development of an algebraic model which provides an adequate and unifieddescription of the internal structure of the lowest-lying pseudoscalar mesons, belonging both to the lightquarks sector and to the one of heavy quarks, we perform its first extension to the vector-meson case. Thealgebraic model describes the meson’s structure in terms of the spectral density function that appears in aNakanishi integral representation of the covariant quark-antiquark bound-state amplitude, i.e., the Bethe-Salpeter amplitude. We compute the leading-twist light-front wave functions of the ρð770Þ, ϕð1020Þ, J=ψ,and ϒð1SÞ mesons through their connection with the parton distribution amplitudes. Among the results wepresent, the following are of particular interest: (i) transverse light-front wave functions can be obtainedalgebraically from the corresponding parton distribution amplitudes, whereas that is not the case forlongitudinal light-front wave functions, which requires an intermediate step where a spectral densityfunction must be derived from the particular parton distribution amplitude; (ii) the derived spectral densityfunctions show marked differences between light and heavy vector mesons, the latter being narrower ascompared to the former, and these are also nonpositive definite, although the integral over the entire curve islarger than zero as expected; and (iii) the longitudinal and transverse light-front wave functions of vectormesons with light quark content exhibit steep x and p2⊥ dependence, while those of the J=ψ and ϒð1SÞmesons are characterized by narrow distributions in the x range but, comparatively, much more gradualfalloffs with respect to the p2⊥ range depicted.
PB American Physical Society (APS)
SN 2470-0010
SN 2470-0029 (electrónico)
YR 2023
FD 2023-04
LK https://hdl.handle.net/10272/22185
UL https://hdl.handle.net/10272/22185
LA eng
NO Almeida-Zamora, B., Cobos-Martínez, J. J., Bashir, A., Raya, K., Rodríguez-Quintero, J., & Segovia, J. (2023). Light-front wave functions of vector mesons in an algebraic model. In Physical Review D (Vol. 107, Issue 7). American Physical Society (APS). https://doi.org/10.1103/physrevd.107.074037
NO B. Almeida Zamora acknowledges CONACyT (Grant No. CVU 935777) for the Phd fellowship. J. J. Cobos-Martínez acknowledges financial support from the University of Sonora under Grant No. USO315007861. A. Bashir acknowledges Coordinación de la Investigación Científica of the Universidad Michoacana de San Nicolás de Hidalgo Grant No. 4.10., the U.S. Department of Energy (DOE) under Contract No. DE-AC05-6OR23177, and the Fulbright-García Robles Scholarship. This work has also been partially funded by Ministerio Español de Ciencia e Innovación under Grant No. PID2019–107844 GB-C22 and Junta de Andalucía under Contracts No. Operativo FEDER Andalucía 2014-2020 UHU-1264517, No. P18-FR-5057, and also No. PAIDI FQM-370.
DS Repositorio Institucional de la Universidad de Huelva
RD 1 jun 2026