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Sensitivity of two-body non-leptonic branching fractions to theoretical mass variations in heavy–light mesons.

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Title: Sensitivity of two-body non-leptonic branching fractions to theoretical mass variations in heavy–light mesons.
Authors: Parmar, Manakkumar1 (AUTHOR) mgp.physica@gmail.com, Rai, Ajay Kumar1 (AUTHOR) raiajayk@gmail.com
Source: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 5/20/2026, Vol. 41 Issue 14, p1-19. 19p.
Subjects: Meson decay, Branching ratios, Wave functions, Mesons, Factorization
Abstract: This study investigates the sensitivity of two-body nonleptonic branching fractions to theoretical mass variations in heavy-light mesons (D, D s , B and B s ). Utilizing the factorization framework, we compare predictions derived from phenomenological masses evaluated with Gaussian and hydrogenic wavefunctions. For bottom meson decays, naive factorization with the number of color N = 3 aligns well with experimental data, and the N → ∞ limit offers no improvement. Furthermore, the theoretical mass variation between wavefunction models induces a pronounced, nonlinear sensitivity in the branching fractions, establishing the accurate Gaussian mass as a crucial baseline. Conversely, in the charm sector, naive factorization is inherently limited by final-state interactions due to insufficient relativistic recoil. While the N → ∞ limit partially compensates for this, the systematically lower hydrogenic mass yields more accurate rates for several color-suppressed channels. This mass underestimation acts as a necessary kinematic regulator, cleanly offsetting the inflated amplitudes inherent to charm factorization. Ultimately, combining reliable Gaussian mass predictions with factorization provides a simple formalism extendable to the decay properties of unobserved exotics, such as excited B c mesons and T b b tetraquarks. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This study investigates the sensitivity of two-body nonleptonic branching fractions to theoretical mass variations in heavy-light mesons (D, D s , B and B s ). Utilizing the factorization framework, we compare predictions derived from phenomenological masses evaluated with Gaussian and hydrogenic wavefunctions. For bottom meson decays, naive factorization with the number of color N = 3 aligns well with experimental data, and the N → ∞ limit offers no improvement. Furthermore, the theoretical mass variation between wavefunction models induces a pronounced, nonlinear sensitivity in the branching fractions, establishing the accurate Gaussian mass as a crucial baseline. Conversely, in the charm sector, naive factorization is inherently limited by final-state interactions due to insufficient relativistic recoil. While the N → ∞ limit partially compensates for this, the systematically lower hydrogenic mass yields more accurate rates for several color-suppressed channels. This mass underestimation acts as a necessary kinematic regulator, cleanly offsetting the inflated amplitudes inherent to charm factorization. Ultimately, combining reliable Gaussian mass predictions with factorization provides a simple formalism extendable to the decay properties of unobserved exotics, such as excited B c mesons and T b b tetraquarks. [ABSTRACT FROM AUTHOR]
ISSN:0217751X
DOI:10.1142/S0217751X26500806