Poincaré-covariant analysis of heavy-quark baryons
Abstract
We use a symmetry-preserving truncation of meson and baryon bound-state equations in quantum field theory in order to develop a unified description of systems constituted from light and heavy quarks. In particular, we compute the spectrum and leptonic decay constants of ground-state pseudoscalar and vector mesons: q'(q) over bar, Q'(Q) over bar, with q', q = u, d, s and Q', Q = c, b, and the masses of JP = 3/2+ baryons and their first positive-parity excitations, including those containing one or more heavy quarks. This Poincare covariant analysis predicts that such baryons have a complicated angular momentum structure. For instance, the ground states are all primarily S wave in character, but each possesses P-, D- and F-wave components, with the P-wave fraction being large in the qqq states, and the first positive-parity excitation in each channel having a large D-wave component, which grows with increasing current-quark mass, but also exhibits features consistent with a radial excitation. In conclusion, the configuration space extent of all such baryons decreases as the mass of the valence-quark constituents increases.
- Authors:
-
- Chongqing Univ., Chongqing (People's Republic of China)
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Forschungszentrum Julich and JARA, Julich (Germany)
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1460981
- Alternate Identifier(s):
- OSTI ID: 1454348
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Volume: 97; Journal Issue: 11; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Qin, Si -Xue, Roberts, Craig D., and Schmidt, Sebastian M. Poincaré-covariant analysis of heavy-quark baryons. United States: N. p., 2018.
Web. https://doi.org/10.1103/PhysRevD.97.114017.
Qin, Si -Xue, Roberts, Craig D., & Schmidt, Sebastian M. Poincaré-covariant analysis of heavy-quark baryons. United States. https://doi.org/10.1103/PhysRevD.97.114017
Qin, Si -Xue, Roberts, Craig D., and Schmidt, Sebastian M. Wed .
"Poincaré-covariant analysis of heavy-quark baryons". United States. https://doi.org/10.1103/PhysRevD.97.114017. https://www.osti.gov/servlets/purl/1460981.
@article{osti_1460981,
title = {Poincaré-covariant analysis of heavy-quark baryons},
author = {Qin, Si -Xue and Roberts, Craig D. and Schmidt, Sebastian M.},
abstractNote = {We use a symmetry-preserving truncation of meson and baryon bound-state equations in quantum field theory in order to develop a unified description of systems constituted from light and heavy quarks. In particular, we compute the spectrum and leptonic decay constants of ground-state pseudoscalar and vector mesons: q'(q) over bar, Q'(Q) over bar, with q', q = u, d, s and Q', Q = c, b, and the masses of JP = 3/2+ baryons and their first positive-parity excitations, including those containing one or more heavy quarks. This Poincare covariant analysis predicts that such baryons have a complicated angular momentum structure. For instance, the ground states are all primarily S wave in character, but each possesses P-, D- and F-wave components, with the P-wave fraction being large in the qqq states, and the first positive-parity excitation in each channel having a large D-wave component, which grows with increasing current-quark mass, but also exhibits features consistent with a radial excitation. In conclusion, the configuration space extent of all such baryons decreases as the mass of the valence-quark constituents increases.},
doi = {10.1103/PhysRevD.97.114017},
journal = {Physical Review D},
number = 11,
volume = 97,
place = {United States},
year = {2018},
month = {6}
}
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Figures / Tables:
FIG. 1: Three-body equation in Eq. (2), solved herein for the mass and amplitude of $qqq$ and $QQQ$ baryons, $q$ = $u, d, s$, $Q$ = $c, b$. Amplitude: vertex on the lhs; spring with shaded circle: quark-quark interaction kernel in Eq. (3); and solid line with shaded circle: dressed-propagatorsmore »
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