Masses of scalar and axial-vector B mesons revisited

Abstract

The SU(3) quark model encounters a great challenge in describing even-parity mesons. Specifically, the qq quark model has difficulties in understanding the light scalar mesons below 1 GeV, scalar and axial-vector charmed mesons and 1 + charmonium-like state X (3872). A common wisdom for the resolution of these difficulties lies on the coupled channel effects which will distort the quark model calculations. In this work, we focus on the near mass degeneracy of scalar charmed mesons, D * s0 and D * 0 0 , and its implications. Within the framework of heavy meson chiral perturbation theory, we show that near degeneracy can be qualitatively understood as a consequence of self-energy effects due to strong coupled channels. Quantitatively, the closeness of D * s0 and D * 0 0 masses can be implemented by adjusting two relevant strong couplings and the renormalization scale appearing in the loop diagram. Then this in turn implies the mass similarity of B * s0 and B * 0 0 mesons. The P * 0 P 1 interaction with the Goldstone boson is crucial for understanding the phenomenon of near degeneracy. Based on heavy quark symmetry in conjunction with corrections from QCD and 1/m Q effects, we obtain the masses of B *

Semileptonic B and $$B_s$$ B s decays involving scalar and axial-vector mesons

“…4 The near mass degeneracy of D * 0 (2400) and D * s0 (2317) is explained by the hadronic loop effects using the heavy meson chiral perturbation theory [49]. Table 3 The involved mesons in the semileptonic B and B s decays, where P, V, S, A denotes the pseudoscalar, vector, scalar (mass above 1 GeV), and axial-vector mesons, respectively.…”

Masses and strong decay properties of radially excited bottom states B(2S) and B(2P) with their strange partners Bs(2S) and Bs(2P)

“…Specifically in Ref. [32], most of the bottom masses are deviating from their values by at 6-7 MeV. This is something we expect when we study the properties of the heavier mesons for higher excited states.…”

Chiral Lagrangians for mesons with a single heavy quark

“…With the chiral Lagrangians involving heavy-light mesons, a wide range of problems can be studied [13][14][15][16][17][18][19][20][21][22][23][24][25], such as properties of heavy-light mesons, mass difference between heavy-light mesons in the same doublet, interactions between the Goldstone bosons and the heavy-light mesons, interactions between heavy-light mesons, properties of new open-flavor particles [26], and so on. Up to now, the chiral Lagrangian in the sector of light pseudoscalar mesons has been constructed up to the O(p 8 ) order [27][28][29][30][31][32][33][34][35].…”