Light-front wave functions of vector mesons in an algebraic model
[3];
[4];
[5]
- University of Sonora (Mexico); Pablo de Olavide University (Spain)
- University of Sonora (Mexico)
- Michoacan Univ. of San Nicolas de Hidalgo, Morelia (Mexico); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- University of Huelva (Spain)
- Pablo de Olavide University (Spain)
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, belonging 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, \emph{i.e.}, the Bethe-Salpeter amplitude. We compute the leading-twist light-front wave functions of the $$\rho(770)$$, $$\phi(1020)$$, $$J/\psi$$ and $$\Upsilon(1S)$$ mesons through their connection with the parton distribution amplitudes. Among the results we present, 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 requires 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; these 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 $$p_\perp^2$$-dependence, while those of the $$J/\psi$$ and $$\Upsilon(1S)$$ mesons are characterized by narrow distributions in the $$x$$-range but, comparatively, much more gradual fall-offs with respect to the $$p_\perp^2$$-range depicted.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP); USDOE
- Grant/Contract Number:
- AC05-6OR23177
- OSTI ID:
- 1971552
- Alternate ID(s):
- OSTI ID: 1971776
- Report Number(s):
- JLAB-THY-23-3779; arXiv:2303.09581; DOE/OR/23177-5788; TRN: US2313719
- Journal Information:
- Physical Review. D., Vol. 107, Issue 7; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Similar Records
Hadronic structure on the light front. III. The Hamiltonian, heavy quarkonia, spin, and orbit mixing
Exclusive production of vector mesons in pp and pp-bar collisions