Theoretical Assessment of Fwave Bottom Mesons and Their Properties
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Study of Fwave bottom mesons in heavy quark effective theory
(PTEP Editors' Choice)
Prog. Theor. Exp. Phys. 2022, 093B08 (2022).
We use heavy quark effective theory to study Fwave bottom mesons. Using theory and experimental data, we calculate their masses and analyze their decay widths to estimate the upper bound to the associated couplings.
In recent years, many studies have been conducted, both experimental and theoretical, on heavylight hadrons, subatomic particles made of quarks. These include studies on the several new states of the Dmeson family in facilities like the Large Hadron Collider beauty (LHCb)and others. Researchers have characterized the mass, decay width, and quantum numbers of these states for D mesons, which are the lightest particles containing a charm quark. However, the bottom meson (Bmeson) family has remained relatively less explored.
The Particle Data Group lists only a few ground states and orbitally excited states for Bmesons, with very little experimental data for higher excited states. Various theoretical studies have been conducted on the Bmeson family for 1S and 1P states. But, the theoretical models disagree on the placement of the newly observed B_{J}(5840)^{0,+} and B_{J}(5960)^{0,+} ,and the strange bottom mesons, B_{sJ}(6064) and B_{sJ}(6114). Thus, there is a need to reexamine the higher excited states from a theoretical perspective.
In this study, we examine the properties of the 1F state using heavy quark effective theory (HQET), an effective theory describing the dynamics of heavylight hadrons. HQET implements two approximate symmetries: the heavy quark symmetry and the chiral symmetry of light quarks. Using the HQET Lagrangians, we estimate the two body strong decays of heavylight mesons and the coupling coefficients.
Further, using the experimental data from different experimental facilities, the 1F Bmeson states are analyzed. This is done on the basis of two aspects, the masses of nonstrange and strange 1F bottom meson states, and the decay behavior and channels of these states.
We first calculate the masses using averaged masses for charm mesons and heavy quark symmetry parameters. Thereafter, we estimate the masses of nonstrange and strange 2^{+}(1^{3}F_{2}), 3^{+}(1F_{3}), 3^{+}(1F’_{3}), and 4^{+}(1^{3}F_{4}). The calculated masses are in good agreement with the existing theoretical models.
We next use the masses to compute the decay widths using pseudoscalar particles in the form of coupling constants. By comparing the calculated strong decay widths with the theoretical total decay widths, we find the upper bounds for associated couplings. While the lack of experimental data does not allow the calculation of the coupling constants from heavy quark symmetry, we are able to estimate the upper bounds for them. Finally, we construct Regge trajectories in the (J, M^{2}) plane and our predictions fit nicely on Regge lines.
Overall, our findings can provide new directions to high energy experiments that are on the lookout for new particles and open doors to a deeper understanding of the fundamental structure of matter.
Study of Fwave bottom mesons in heavy quark effective theory
(PTEP Editors' Choice)
Prog. Theor. Exp. Phys. 2022, 093B08 (2022).
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