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松木孝幸, 陈殿勇, 刘翔, 吕齐放. 双重味重子的理想混合角[J]. 原子核物理评论, 2021, 38(4): 373-379. DOI: 10.11804/NuclPhysRev.38.2021074
引用本文: 松木孝幸, 陈殿勇, 刘翔, 吕齐放. 双重味重子的理想混合角[J]. 原子核物理评论, 2021, 38(4): 373-379. DOI: 10.11804/NuclPhysRev.38.2021074
Takayuki Matsuki, Dianyong CHEN, Xiang LIU, Qifang LÜ. Magic Mixing Angles for Doubly Heavy Baryons[J]. Nuclear Physics Review, 2021, 38(4): 373-379. DOI: 10.11804/NuclPhysRev.38.2021074
Citation: Takayuki Matsuki, Dianyong CHEN, Xiang LIU, Qifang LÜ. Magic Mixing Angles for Doubly Heavy Baryons[J]. Nuclear Physics Review, 2021, 38(4): 373-379. DOI: 10.11804/NuclPhysRev.38.2021074

双重味重子的理想混合角

Magic Mixing Angles for Doubly Heavy Baryons

  • 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(l_\lambda)_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\rho-\lambda图像下,求得了L_\rho=0情形时重夸克对称性的态\left(J, j_\ell\right)\left(J, s_\rm q+j_\rho\right)= \left(J, \^4l_\lambda/^2l_\lambda\\right)态之间的理想混合角,其中\boldsymbolj_\ell=\boldsymboll_\lambda+\boldsymbols_\rm q, \boldsymbols_\rho=\boldsymbols_\rm Q1+\boldsymbols_\rm Q2\boldsymbolj_\rho=\boldsymbols_\rho+\boldsymbolL_\rho。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^-(1S1p)3/2^-等理想混合态。

     

    Abstract: We study the so-called magic mixing angles for doubly heavy baryons. Defining that a magic mixing angle rotates states with definite ^2S+1(l_\lambda)_J to make them heavy-quark symmetric states, we derive the magic mixing angle only in the case L_\rho=0 between the heavy quark symmetric states with quantum numbers \left(J, j_\ell\right) and the states with \left(J, s_\rm q+j_\rho\right)=\left(J, \^4l_\lambda/^2l_\lambda\\right) for a doubly heavy baryon in the standard \rho-\lambda configuration, where \boldsymbolj_\ell=\boldsymboll_\lambda+\boldsymbols_\rm q, \boldsymbols_\rho=\boldsymbols_\rm Q1+\boldsymbols_\rm Q2, and \boldsymbolj_\rho=\boldsymbols_\rho+\boldsymbolL_\rho. 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.

     

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