摘要:
Λ
c+重子家族存在一个疑难,也就是重夸克有效理论预言的轨道角动量为
L=2的多重态中
JP=3/2
+的态在实验上是缺失的,而且已发现的Λ
c(2765)
+和Λ
c(2940)
+的
JP量子数仍然未知。在本工作中,我们使用双夸克图像计算了重子的质量,研究了Λ
c(2765)
+和Λ
c(2940)
+的可能归类以及仍缺失的具有
L=2和
JP=3/2
+量子数的Λ
c+态,进而指出Λ
c(2880)
+的峰结构中实际上已经包含了
L=2、
JP=3/2
+这一缺失态,并建议Λ
c(2765)
+和Λ
c(2940)
+的量子数应分别为2
S(1/2
+)和2
P(1/2
-)。
There is a puzzle in the Λ
c+ family,
i.e., one member with
JP=3/2
+ is missing in a
L=2 multiplet which the heavy quark effective theory predicts, and
JP's of Λ
c(2765)
+ and Λ
c(2940)
+ are unknown. Using a light diquark picture to calculate baryon masses, we study possible assignments of two Λ
c's with unknown
JP and the missing Λ
c+ with 3/2
+ for
L=2, and we find the most probable possibility that the peak corresponding to Λ
c(2880)
+ actually includes a missing member with spin 3/2
+ for
L=2 and that quantum numbers of Λ
c(2765)
+ and Λ
c(2940)
+ are 2
S(1/2
+) and 2
P (1/2
-), respectively.