Details

Autor(en) / Beteiligte

• Ahmed, J.
• Manzoor, R.
• Chang, L.
• Raya, A.
• Raya, K.

Titel

Heavy Quark Mesons: Mass Spectrum and Mass Relations

Ist Teil von

• Few-body systems, 2021-09, Vol.62 (3), Article 39

Ort / Verlag

Vienna: Springer Vienna

Erscheinungsjahr

2021

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We derive an assumption-free mass relation that connects heavy-quark mesons ( c c ¯ , b b ¯ and B c mesons) with different quantum numbers, but same orbital angular momentum. The obtained formula is exact, provided the hyperfine mass splitting, δ hf , and δ ξ : = M ( n 1 L ℓ ) / M ( n 3 L ℓ ) - 1 are determined independently. For completeness, we obtain the heavy-quark mesons spectrum following a Schrödinger wave equation (SWE) approach. The Song-Lin potential is employed along with the corresponding relativistic corrections, namely: spin-spin, spin-orbit and tensor interactions. Our numerical strategy is based upon the Numerov method, which enables us to cast our SWE approach into a matrix eigenvalue problem, for which high numerical accuracy can be achieved. Notably, only a single set of parameters is required to produce the known spectrum of the heavy-quark mesons.