The Strong Decays of Orbitally Excited B ∗ sJ Mesons by Improved Bethe-Salpeter Method
Abstract
We calculate the masses and the strong decays of orbitally excited states
B
s0
,
B
′
s1
,
B
s1
and
B
s2
by the improved Bethe-Salpeter method. The predicted masses of
B
s0
and
B
′
s1
are
M
B
s0
=5.723±0.280GeV
,
M
B
′
s1
=5.774±0.330GeV
. We calculate the isospin symmetry violating decay processes
B
s0
→
B
s
π
and
B
′
s1
→
B
∗
s
π
through
π
0
−η
mixing and get small widths. Considering the uncertainties of the masses, for
B
s0
and
B
′
s1
, we also calculate the OZI allowed decay channels:
B
s0
→B
K
¯
and
B
′
s1
→
B
∗
K
¯
. For
B
s1
and
B
s2
, the OZI allowed decay channels
B
s1
→
B
∗
K
¯
,
B
s2
→B
K
¯
and
B
s2
→
B
∗
K
¯
are studied. In all the decay channels, the reduction formula, PCAC relation and low energy theorem are used to estimate the decay widths. We also obtain the strong coupling constants
G
B
s0
B
s
π
,
G
B
s0
B
K
¯
,
G
B
′
s1
B
∗
s
π
,
F
B
′
s1
B
∗
s
π
,
G
B
′
s1
B
∗
K
¯
,
F
B
′
s1
B
∗
K
¯
,
G
B
s1
B
∗
K
¯
,
F
B
s1
B
∗
K
¯
,
G
B
s2
B
K
¯
and
G
B
s2
B
∗
K
¯
.