Author:
Li Hai-Peng,Zhang Gong-Jie,Liang Wei-Hong,Oset E.
Abstract
AbstractWe study the Belle reaction $$\Xi _c^+ \rightarrow \Xi ^- \pi ^+ \pi ^+$$
Ξ
c
+
→
Ξ
-
π
+
π
+
looking at the mass distribution of $$\pi ^+ \Xi $$
π
+
Ξ
, where clear signals for the $$\Xi (1620)$$
Ξ
(
1620
)
and $$\Xi (1690)$$
Ξ
(
1690
)
resonances are seen. These two resonances are generated dynamically from the interaction in coupled channels of $$\pi \Xi , {\bar{K}} \Lambda , {\bar{K}} \Sigma $$
π
Ξ
,
K
¯
Λ
,
K
¯
Σ
and $$\eta \Xi $$
η
Ξ
within the chiral unitary approach. Yet, the weak decay process at the quark level, together with the hadronization to produce pairs of mesons, does not produce the $$\pi \pi \Xi $$
π
π
Ξ
final state. In order to produce this state one must make transitions from the $${\bar{K}} \Lambda , {\bar{K}} \Sigma $$
K
¯
Λ
,
K
¯
Σ
and $$\eta \Xi $$
η
Ξ
components to $$\pi \Xi $$
π
Ξ
, and this interaction is what produces the resonances. So, the reaction offers a good test for the molecular picture of these resonances. Adding the contribution of the $$\Xi ^*(1530)$$
Ξ
∗
(
1530
)
and some background we are able to get a good reproduction of the mass distribution showing the signatures of the two resonances as found in the experiment.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
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