Abstract
Using the existing state of art of the QCD expressions of the two-point correlators into the Inverse Laplace sum rules (LSR) within stability criteria, we present a first analysis of the spectra and decay constants of Bc-like scalar (0++) and axial-vector (1++) mesons and revisit the ones of the Bc⁎(1−−) vector meson. Improved predictions are obtained by combining these LSR results with some mass-splittings from Heavy Quark Symmetry (HQS). We complete the analysis by revisiting the B0⁎(0++) mass which might be likely identified with the BJ⁎(5732) experimental candidate. The results for the spectra collected in Table 2 are compared with some recent lattice and potential models ones. New estimates of the decay constants are given in Table 3.
Highlights
We shall work with the Finite Energy version of the QCD Inverse Laplace sum rules (LSR): tc
– Using the SVZ [1] Operator Product Expansion (OPE), the Inverse Laplace tranform of the two-point correlator can be written in the form: tc dte−tτ tn π
– In the two sections, we shall collect the QCD expressions of the two-point correlators known to NLO and N2LO in the literature from which we shall derive the expressions of the sum rules
Summary
– QCD spectral sum rules (QSSR) [1,2]1 of the inverse Laplacetype (LSR) [17,18,19,20] have been used successfully to study the masses and decay constants of different hadrons. [21,22], to study (for the first time) the masses and decay constants of the Bc -like scalar 0++ and axialvector 1++ mesons. Obtained earlier using q2 = 0 moments and the b-quark pole mass to NLO in Ref. Quark Symmetry (HQS) [31,32] These results will be compared with some recent lattice [33] and potential models [34,35] estimates. We shall work with the Finite Energy version of the QCD Inverse Laplace sum rules (LSR): tc.
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