Theoretical Assessment of Fwave Bottom Mesons and Their Properties
© The Physical Society of Japan
This article is on
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).
Share this topic
Fields
Related Articles

Quantum Mechanics of OneDimensional ThreeBody Contact Interactions
Mathematical methods, classical and quantum physics, relativity, gravitation, numerical simulation, computational modeling
Theoretical Particle Physics
2024213
The quantum mechanical description of topologically nontrivial threebody contact interactions in one dimension is not well understood. This study explores the Hamiltonian description of these interactions using the pathintegral formalism.

Investigating Unitarity Violation of Lee–Wick’s Complex Ghost with Quantum Field Theory
Theoretical Particle Physics
2024119
Theories with fourthorder derivatives like Lee–Wick’s quantum electrodynamics model or quadratic gravity result in complex ghosts above a definite energy threshold that violate unitarity.

Investigating Δ and Ω Baryons as Meson–Baryon Bound States in Lattice Quantum Chromodynamics
Theoretical Particle Physics
2023713
We investigate Δ and Ω baryons as meson–baryon bound states in lattice quantum chromodynamics and show that their difference results from the kinematic structure of the two meson–baryon systems, and not their interaction.

Novel Insights Into Bulk Reconstruction in the Antide Sitter/Conformal Field Theory Correspondence
Theoretical Particle Physics
202361
Bulk reconstruction in antide Sitter/conformal field theory is fundamental to our understanding of quantum gravity. We show that contrary to popular belief, bulk reconstruction is rather simple and intuitive.

The Stolz–Teichner Conjecture and Supermoonshine
Theoretical Particle Physics
2023425
We check the validity of the "divisibility property," predicted by the Stolz–Teichner conjecture, for several infinite families of theories built from Duncan’s Supermoonshine module. Along the way, we develop the tools necessary to construct the socalled "periodicity class."