双重味重子的理想混合角  

Magic Mixing Angles for Doubly Heavy Baryons

作　　者：松木孝幸 陈殿勇 刘翔[3,4] 吕齐放 Matsuki Takayuki;CHEN Dianyong;LIU Xiang;LÜQifang(Tokyo Kasei University,1-18-1 Kaga,Itabashi,Tokyo 173-8602,Japan;School of Physics,Southeast University,Nanjing 210094,China;School of Physical Science and Technology,Lanzhou University,Lanzhou 730000,China;Research Center for Hadron and CSR Physics,Lanzhou University and Institute of Modern Physics of CAS,Lanzhou 730000,China;Department of Physics,Hunan Normal University,Changsha 410081,China;Synergetic Innovation Center for Quantum Effects and Applications(SICQEA),Changsha 410081,China;Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education,Changsha 410081,China)

机构地区：[1]東京家政大学,東京都板橋区加賀1-18-1,日本173-8602 [2]东南大学物理学院,南京210094 [3]兰州大学物理科学与技术学院,兰州730000 [4]兰州大学&中国科学院近代物理研究所,强子与CSR物理研究中心,兰州730000 [5]湖南师范大学物理系,长沙410081 [6]湖南省量子效应及其应用协同创新中心,长沙410081 [7]教育部低维量子效应与调控重点实验室,长沙410081

出　　处：《原子核物理评论》2021年第4期373-379,共7页Nuclear Physics Review

基　　金：国家自然科学基金资助项目(11775050,11675228,11705056,U1832173);国家杰出青年科学基金项目(11825503);国家留学基金访问学者项目(202006725011)。

摘　　要：本工作研究了双重味重子的理想混合角。理想混合角是将^(2S+1)(lλ)_(J)态转换为具有确定重夸克对称性的态时所对应的旋转角度。在标准的ρ-λ图像下,求得了L_(ρ)= 0情形时重夸克对称性的态(J, jℓ) 和(J,s_(q)+j_(ρ))=(J,{^(4)l_(λ)/^(2)l_(λ)})态之间的理想混合角,其中jℓ=l_(λ)+s_(q)m,s_(ρ)=s _(Q1)+s _(Q2)和j_(ρ)=s_(ρ)+L_(ρ)。本工作指出当研究双重味重子的衰变性质时,需要采用(1S1p)1/2^(−)和(1S1p)3/2^(-)等理想混合态。We study the so-called magic mixing angles for doubly heavy baryons.Defining that a magic mixing angle rotates states with definite^(2S+1)(lλ)_(J) to make them heavy-quark symmetric states,we derive the magic mixing angle only in the case L_(ρ)= 0 between the heavy quark symmetric states with quantum numbers(J, jℓ) and the states with(J,s_(q)+j_(ρ))=(J,{^(4)l_(λ)/^(2)l_(λ)}) for a doubly heavy baryon in the standard ρ-λ configuration,where jℓ=l_(λ)+s_(q),s_(ρ)=s_(Q1)+s_(Q2),and j_(ρ)=s_(ρ)+L_(ρ).We point out that when we calculate decays of doubly heavy baryons,we need to consider decays of magically mixed states,such as(1S1p)1/2^(−),(1S1p)3/2^(-) and so on.

关 键 词：混合角 双重味重子 重夸克对称性 

分 类 号：O572.25[理学—粒子物理与原子核物理]