Bethe-Salpeter wave functions and transition amplitudes for heavy mesons

The hidden-charm pentaquark and tetraquark states

“…[299,300,301,302,49]. It can also be applied in the framework of heavy quark effective theory [303,304,305] to study heavy mesons [306,307,308,309,310,311,312,313,314,315,316,317] and heavy baryons [318,319,320,321,322,323,324,325,326,327,328,329].…”

QCD sum rules for masses of excited heavy mesons

“…In [8] it was shown that if the interaction kernel contains only γ µ and I on the heavy quark line, solutions of the Bethe-Salpeter equation for heavy mesons of arbitrary spin and definite parity consist of two series of degenerate spin doublets in the infinity quark mass limit m Q → ∞. The wave functions χ jP i , where j, P are spin and parity and i = 1, 2 for these two series of states, have the following most general form…”

“…Finally, Φ i and Ψ i are invariant functions of u 2 t and u l . The assumptions used to obtain these results can be slightly generalized compared to that explicitly written down in [8]. We only need to assume that in the m Q → ∞ limit the kernel is of the form…”

“…where S denotes symmetrization and subtracting the trace terms in the sets (α 1 · · · α j ) and (β 1 · · · β j ′ ), (7) can be obtained from (8). Only the term f 1 contributes to f P j l .…”

Subleading Isgur-Wise form factors andO(1/mQ)corrections to the semileptonic decaysBHuang1, Dai2 2001Phys. Rev. DSelf Cite14050View full textAdd to dashboardCite

“…Substituting the sum rules (18) and (19) into the left side and the sum rule (25) into the right side of the sum rules (24) and (32) for the three-point correlators, we obtain expressions for the η ke , η b ke and η i (i = 1, 2, 3) as functions of the Borel parameter T and the continuum thresholds. This procedure may help to reduce the uncertainties in the calculation.…”