PDG 2024 masses: , , ,

PHYSICS · Multi-part · Fermi University Physics · Particle Physics & Quantum Fields · Symmetry, groups and the quark model · Symmetry, groups and the quark model

Symmetry and Flavour, Ch Hadron spectroscopy: quarkonium, orbital excitations and exotic states

Problem

PDG 2024 masses:

D_s^{*\pm}=2112.2\,\mathrm{MeV}

D_s^{\pm}=1968.4\,\mathrm{MeV}

B_s^{*0}=5415.4\,\mathrm{MeV}

B_s^{0}=5366.9\,\mathrm{MeV}

. Constituent quark masses are

m_c\approx1.5\,\mathrm{GeV}

m_b\approx4.7\,\mathrm{GeV}

. ((a)) Compute the vector-pseudoscalar hyperfine splittings

M(D_s^*)-M(D_s)

and

M(B_s^*)-M(B_s)

. ((b)) Compute the ratio of these two splittings and compare it with

m_b/m_c

, commenting on whether heavy-quark hyperfine scaling

M_V-M_P\propto 1/(m_1m_2)

holds when the light spectator quark is replaced by a strange quark.

Browse the problem library