ρ meson form factors and parton distribution functions in impact parameter space
This study investigates the form factors and impact parameter space parton distribution functions of the ρ meson derived from the generalized parton distributions within the Nambu–Jona-Lasinio model framework, employing a proper time regularization scheme. We compare the charge , magnetic , and quad...
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| Vydáno v: | Chinese physics C Ročník 49; číslo 4; s. 43104 |
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| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
01.04.2025
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| ISSN: | 1674-1137, 2058-6132 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | This study investigates the form factors and impact parameter space parton distribution functions of the ρ meson derived from the generalized parton distributions within the Nambu–Jona-Lasinio model framework, employing a proper time regularization scheme. We compare the charge , magnetic , and quadrupole form factors with lattice data. The dressed form factors, and , exhibit good agreement with lattice results; however, is found to be harder than what is observed in lattice calculations. The Rosenbluth cross section for elastic electron scattering on a spin-one particle can be expressed through the structure functions and . Additionally, the tensor polarization can also be formulated in terms of these form factors. We analyze the structure functions , and tensor polarization function ; our findings quantitatively align with predicted values across various limits. In impact parameter space, we examine parton distribution functions along with their dependence on longitudinal momentum fraction x and impact parameter . The width distributions in impact parameter space reveal that the range of the charge distribution is the most extensive. In contrast, the transverse magnetic radius falls within a moderate range, while the quadrupole distribution demonstrates the narrowest extent. |
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| ISSN: | 1674-1137 2058-6132 |
| DOI: | 10.1088/1674-1137/adab61 |