Mesons with beauty and charm: New horizons in spectroscopy

Eichten, Estia J.; Quigg, Chris

doi:10.1103/PhysRevD.99.054025

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

Journal Article · Thu Mar 28 00:00:00 EDT 2019 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.99.054025· OSTI ID:1503910

Eichten, Estia J.; Quigg, Chris

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 B_c 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 B_c 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_ℓ}, 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 B_c states, we update the expectations for the low-lying spectrum of the B_c 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 J^P=0^-, 1^-, and 2⁺ channels and possibly in the J^P=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 B_c spectroscopy and rare decays in a controlled environment.

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Research Organization:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1503910

Alternate ID(s):: OSTI ID: 1504474; OSTI ID: 1557443

Report Number(s):: arXiv:1902.09735; FERMILAB-PUB-19/075-T; FERMILAB-PUB-19-270-T; PRVDAQ; 054025

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 99 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 35 works

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