Physics Letters B 776 (2018) 265–269
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Non-leptonic two-body weak decays of
c
(2286)
C.Q. Geng
a,b,∗
, Y.K. Hsiao
a,b
, Yu-Heng Lin
b
, Liang-Liang Liu
a
a
School of Physics and Information Engineering, Shanxi Normal University, Linfen 041004, China
b
Department of Physics, National Tsing Hua University, Hsinchu, 300, Taiwan
a r t i c l e i n f o a b s t r a c t
Article history:
Received
18 October 2017
Received
in revised form 25 November 2017
Accepted
26 November 2017
Available
online xxxx
Editor:
J. Hisano
We study the non-leptonic two-body weak decays of
+
c
(2286) → B
n
M with B
n
(M) representing as
the baryon (meson) states. Based on the SU(3) flavor symmetry, we can describe most of the data
reexamined by the BESIII Collaboration with higher precisions. However, our result of B(
+
c
→ pπ
0
) =
(
5.6 ± 1.5) × 10
−4
is larger than the current experimental limit of 3 × 10
−4
(90% C.L.) by BESIII. In
addition, we find that B(
+
c
→
+
K
0
) = (8.0 ± 1.6) × 10
−4
, B(
+
c
→
+
η
) = (1.0
+1.6
−0.8
) × 10
−2
, and
B(
+
c
→ pη
) = (12.2
+14.3
− 8.7
) ×10
−4
, which are accessible to the BESIII experiments.
© 2017 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP
3
.
1. Introduction
Recently, the BESIII Collaboration has reanalyzed the two-body
weak decays of
+
c
(2286) with the final states to be the combina-
tions
of baryon (B
n
) and pseudoscalar meson (M) particles, where
+
c
≡
+
c
(2286) along with
+,0
c
(2470) belongs to the lowest-
lying
anti-triplet charmed baryon (B
c
) state. In particular, the de-
cay
branching ratios of
+
c
→ p
¯
K
0
, π
+
,
+
π
0
and
0
π
+
have
been measured at the level of 10
−2
with high precisions [1]. In
addition, the Cabibbo-suppressed
+
c
→ pη decay has been ob-
served
for the first time [2]. According to the measurements of the
two-body
+
c
→ B
n
M decays since 2016 [1], there have been 4
measured branching fractions listed in PDG [3], given as
B(
+
c
→ p
¯
K
0
) =(3.16 ±0.16)% ,
B(
+
c
→π
+
) =(1.30 ±0.07)% ,
B(
+
c
→
+
π
0
) =(1.24 ±0.10)% ,
B(
+
c
→
0
π
+
) =(1.29 ±0.07)% , (1)
together with the new data [2], given by
B(
+
c
→ pη) =(1.24 ±0.28 ±0.10) ×10
−3
,
B(
+
c
→ pπ
0
)<3 ×10
−4
(90% C.L.). (2)
Note that the limit of B(
+
c
→ pπ
0
) in Eq. (2) comes from the
original data of B(
+
c
→ pπ
0
) = (7.95 ± 13.61) × 10
−5
[4] by BE-
*
Corresponding author.
E-mail
address: geng@phys.nthu.edu.tw (C.Q. Geng).
SIII, while the
+
c
→
+
K
0
, pη
and
+
η
decays, along with the
neutron modes, have not been seen yet. It is interesting to see if
these current data can be understood.
Theoretically,
the factorization approach is demonstrated to
well explain the B and b-baryon decays [5–7], such that it is
also applied to the two-body
+
c
→ B
n
M decays [8], of which
the amplitudes are derived as the combination of the two com-
putable
matrix elements for the
+
c
→ B
n
transition and the me-
son
(M) production. However, the factorization approach does not
work for most of the two-body
+
c
→ B
n
M ones. For example,
the decays of
+
c
→
+
π
0
and
0
K
+
are forbidden in the fac-
torization
approach [9], but their branching ratios turn out to
be measured. As a result, several theoretical attempts to improve
the factorization by taking into account the nonfactorizable effects
have been made [10–14]. In contrast with the QCD-based mod-
els,
the SU(3) symmetry approach is independent of the detailed
dynamics, which has been widely used in the B meson [15–17],
b-baryon [18,19] and
+
c
(
c
) [9,20–23] decays. With this ad-
vantage,
the two-body
+
c
→ B
n
M decays can be related by the
SU(3) parameters, which receive possible non-perturbative and
non-factorizable contributions [9,20–24], despite of the unknown
sources. The minimum χ
2
fit with the p-value estimation [3] can
statistically test if the SU(3) flavor symmetry agrees with the
data. Being determined from the fitting also, the SU(3) param-
eters
are taken to predict the not-yet-measured modes for the
future experimental tests. However, the global fit was once un-
achievable
without the sufficient data and the use of the symmetry
for
+
c
→ B
n
M. Clearly, the reexamination with the global fit to
match the currently more accurate data is needed. Note that, to
study the
+
c
→ B
n
η
()
decays, the singlet state of η
1
should be
included [16,17]. In this report, we will extract the SU(3) param-
https://doi.org/10.1016/j.physletb.2017.11.062
0370-2693/
© 2017 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by
SCOAP
3
.