P-wave excited $B_c^{\ast \ast }$ meson photoproduction at the LHeC

Abstract

As an important sequential work of the S-wave $B_c^{(\ast )}$ (${}^1{S}_0{(}^3{S}_1)$) meson production at the large hadron electron collider (LHeC), we investigate the production of the P-wave excited $B_c^{\ast \ast }$ states (${}^1{P}_1$ and ${}^3{P}_J$ with $J=0,1,2$) via photoproduction mechanism within the framework of nonrelativistic QCD at the LHeC. Generally, the $e^{-}+P\to \gamma +g\to B_c^{\ast \ast }+b+\bar{c}$ process is considered as the main production mechanism at an electron-proton collider due to the large luminosity of the gluon. However, according to our experience on the S-wave $B_c^{(\ast )}$ meson production at the LHeC, the extrinsic production mechanism, i.e., $e^{-}+P\to \gamma +c\to B_c^{\ast \ast }+b$ and $e^{-}+P\to \gamma +\bar{b}\to B_c^{\ast \ast }+\bar{c}$, could also provide dominating contributions at low $p_T$ region. A careful treatment between these channels is performed and the results on total and differential cross sections, together with main uncertainties are discussed. Taking the quark masses $m_b=4.90\pm 0.40$ GeV and $m_c=1.50\pm 0.20$ GeV into account and summing up all the production channels, we expect to accumulate $(2.48_{-1.75}^{+3.55})\times 10^4$ $B_c^{\ast \ast }({}^1{P}_1)$, $(1.14_{-0.82}^{+1.49})\times 10^4$ $B_c^{\ast \ast }({}^3{P}_0)$, $(2.38_{-1.74}^{+3.39})\times 10^4$ $B_c^{\ast \ast }({}^3{P}_1)$ and $(5.59_{-3.93}^{+7.84})\times 10^4$ $B_c^{\ast \ast }({}^3{P}_2)$ events at the $\sqrt{S}=1.30\mathrm{TeV}$ LHeC in one operation year with luminosity $\mathcal{L}=10^{33}$ cm${}^{-2}$s${}^{-1}$. With such sizable events, it is worth studying the properties of excited P-wave $B_c^{\ast \ast }$ states at the LHeC.

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Cited by in corpus (5)

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• The excited bottom-charmed mesons in a nonrelativistic quark model
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Next-to-leading order QCD corrections to the production of $B_c$ and $B_c^{\ast }$ through $W^{+}$-boson decays
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