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Title: 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:
 [1];  [2];  [3]
  1. Chongqing Univ., Chongqing (People's Republic of China)
  2. Argonne National Lab. (ANL), Argonne, IL (United States)
  3. 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. doi: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}
}

Journal Article:

Citation Metrics:
Cited by: 6 works
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Figures / Tables:

FIG. 1 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 » for scattering quarks, obtained by solving a gap equation with the same interaction.« less

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