We apply linear Regge trajectory and relatived quark model to revisit the low-lying excited singly-heavy mesons and explain the narrow mass splitting of these excited states to arise mainly from relativistic effect of the light quarks. The P-wave masses of the singly heavy mesons (
D,
D_s ,
B,
B_s ) with spin-parity
J^ + (
J = 0 ,
1 ,
2 ) have been computed, suggesting the unseen states of the mesons
B and
B_s to be the
0^ + state with mass 5 659 and 5 788 MeV, respectively. Our calculations show that
D_s\text0\left( \text2\;317 \right) contains a mass downshift of around 70 MeV while
D_s\text1\left( \text2\;460 \right) has no significant mass shift.