Publications
Publication Information
| Title | Light-front Wave Functions of Vector Mesons in an Algebraic Model |
| Authors | B. Almeida-Zamora, J.J. Cobos-Mart ´inez, A. Bashir, K. Raya, J. Rodríguez-Quintero, J. Segovia |
| JLAB number | JLAB-THY-23-3779 |
| LANL number | arXiv:2303.09581 |
| Other number | DOE/OR/23177-5788 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | Yes |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | Fulbright-García Robles scholarship Conacyt - Mexico CIC - University of Michoacan |
|
Journal Compiled for Physical Review D Volume 107 Page(s) 074037 Refereed | |
| Publication Abstract: | Inspired by the recent development of an algebraic model which provides an adequate and unified description of the internal structure of the lowest-lying pseudo-scalar mesons belong both to the light quarks sector and to the one of heavy quarks, we perform its first extension to the vector- meson case. The algebraic model describes meson?s structure in terms of the spectral density function that appears in a Nakanishi 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 ?(770), ?(1020), J/? and ?(1S) mesons through their connection with the parton distribution amplitudes. Among the results we describe, the following are of particular interest: (i) transverse light-front wave functions can be obtained algebraically from the corresponding parton distribution amplitudes, whereas that is not the case for longitudinal light-front wave functions, which demands an intermediate step where a spectral density function must be derived from the particular parton distribution amplitude; (ii) the derived spectral density functions show marked differences between light and heavy vector mesons, the latter being narrower as compared to the former, they are also non-positive definite, although the integral over the entire curve is larger than zero as expected; and (iii) the longitudinal and transverse light-front wave functions of vector mesons with light quark content exhibit steep x- and p2?-dependence, while those of the J/? and ?(1S) mesons are characterized by narrow distributions in the x-range but comparatively much more gradual fall-offs with respect to the p2?-range depicted. |
| Experiment Numbers: | other |
| Group: | THEORY CENTER |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevD.107.074037 |
| Accepted Manuscript: | PhysRevD.107.074037.pdf |
| Supporting Documents: | |
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