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Title: Mesons with beauty and charm: New horizons in spectroscopy

Abstract

The B$$_{c}^{+}$$ family of (c$$\bar{b}$$) mesons with beauty and charm is of special interest among heavy quarkonium systems. The B$$_{c}^{+}$$ mesons are intermediate between ($$c\bar c$$) and ($$b\bar b$$) states both in mass and size, so many features of the ($$_{c}^{+}$$) spectrum can be inferred from what we know of the charmonium and bottomonium systems. The unequal quark masses mean that the dynamics may be richer than a simple interpolation would imply, in part because the charmed quark moves faster in Bc than in the J/ψ. Close examination of the B$$_{c}^{+}$$ spectrum can test our understanding of the interactions between heavy quarks and antiquarks and may reveal where approximations break down. Whereas the J/ψ and γ levels that lie below the flavor threshold are metastable with respect to strong decays, the Bc ground state is absolutely stable against strong or electromagnetic decays. Its dominant weak decays arise from $$\bar{b}$$→$$\bar{c}$$W*+, c→sW*+, and c$$\bar{b}$$→W*+ transitions, where W* designates a virtual weak boson. Prominent examples of the first category are quarkonium transmutations such as B$$_{c}^{+}$$ →J/ψπ+ and B$$_{c}^{+}$$ →J/ψℓ+ν, where J/ψ designates the ($$c\bar c$$) 1S level. The high data rates and extraordinarily capable detectors at the Large Hadron Collider give renewed impetus to the study of mesons with beauty and charm. Motivated by the recent experimental searches for the radially excited Bc states, we update the expectations for the low-lying spectrum of the Bc system. We make use of lattice QCD results, a novel treatment of spin splittings, and an improved quarkonium potential to obtain detailed predictions for masses and decays. We suggest promising modes in which to observe excited states at the LHC. The 3P and 3S states, which lie close to or just above the threshold for strong decays, may provide new insights into the mixing between quarkonium bound states and nearby two-body open-flavor channels. Searches in the B(*)D(*) final states could well reveal narrow resonances in the JP=0-, 1-, and 2+ channels and possibly in the JP=0+ and 1+ channels at threshold. Looking further ahead, the prospect of very-high-luminosity e+e- colliders capable of producing tera-Z samples raises the possibility of investigating Bc spectroscopy and rare decays in a controlled environment.

Authors:
;
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1503910
Alternate Identifier(s):
OSTI ID: 1504474; OSTI ID: 1557443
Report Number(s):
arXiv:1902.09735; FERMILAB-PUB-19/075-T; FERMILAB-PUB-19-270-T
Journal ID: ISSN 2470-0010; PRVDAQ; 054025
Grant/Contract Number:  
AC02-07CH11359
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 99 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Eichten, Estia J., and Quigg, Chris. Mesons with beauty and charm: New horizons in spectroscopy. United States: N. p., 2019. Web. https://doi.org/10.1103/PhysRevD.99.054025.
Eichten, Estia J., & Quigg, Chris. Mesons with beauty and charm: New horizons in spectroscopy. United States. https://doi.org/10.1103/PhysRevD.99.054025
Eichten, Estia J., and Quigg, Chris. Thu . "Mesons with beauty and charm: New horizons in spectroscopy". United States. https://doi.org/10.1103/PhysRevD.99.054025.
@article{osti_1503910,
title = {Mesons with beauty and charm: New horizons in spectroscopy},
author = {Eichten, Estia J. and Quigg, Chris},
abstractNote = {The B$_{c}^{+}$ family of (c$\bar{b}$) mesons with beauty and charm is of special interest among heavy quarkonium systems. The B$_{c}^{+}$ mesons are intermediate between ($c\bar c$) and ($b\bar b$) states both in mass and size, so many features of the ($_{c}^{+}$) spectrum can be inferred from what we know of the charmonium and bottomonium systems. The unequal quark masses mean that the dynamics may be richer than a simple interpolation would imply, in part because the charmed quark moves faster in Bc than in the J/ψ. Close examination of the B$_{c}^{+}$ spectrum can test our understanding of the interactions between heavy quarks and antiquarks and may reveal where approximations break down. Whereas the J/ψ and γ levels that lie below the flavor threshold are metastable with respect to strong decays, the Bc ground state is absolutely stable against strong or electromagnetic decays. Its dominant weak decays arise from $\bar{b}$→$\bar{c}$W*+, c→sW*+, and c$\bar{b}$→W*+ transitions, where W* designates a virtual weak boson. Prominent examples of the first category are quarkonium transmutations such as B$_{c}^{+}$ →J/ψπ+ and B$_{c}^{+}$ →J/ψℓ+νℓ, where J/ψ designates the ($c\bar c$) 1S level. The high data rates and extraordinarily capable detectors at the Large Hadron Collider give renewed impetus to the study of mesons with beauty and charm. Motivated by the recent experimental searches for the radially excited Bc states, we update the expectations for the low-lying spectrum of the Bc system. We make use of lattice QCD results, a novel treatment of spin splittings, and an improved quarkonium potential to obtain detailed predictions for masses and decays. We suggest promising modes in which to observe excited states at the LHC. The 3P and 3S states, which lie close to or just above the threshold for strong decays, may provide new insights into the mixing between quarkonium bound states and nearby two-body open-flavor channels. Searches in the B(*)D(*) final states could well reveal narrow resonances in the JP=0-, 1-, and 2+ channels and possibly in the JP=0+ and 1+ channels at threshold. Looking further ahead, the prospect of very-high-luminosity e+e- colliders capable of producing tera-Z samples raises the possibility of investigating Bc spectroscopy and rare decays in a controlled environment.},
doi = {10.1103/PhysRevD.99.054025},
journal = {Physical Review D},
number = 5,
volume = 99,
place = {United States},
year = {2019},
month = {3}
}

Journal Article:
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https://doi.org/10.1103/PhysRevD.99.054025

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