scholarly journals Heavy quark spin multiplet structure of P¯(*)ΣQ(*) molecular states

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
Yuki Shimizu ◽  
Yasuhiro Yamaguchi ◽  
Masayasu Harada
2019 ◽  
Vol 2019 (12) ◽  
Author(s):  
Yuki Shimizu ◽  
Yasuhiro Yamaguchi ◽  
Masayasu Harada

Abstract We study the heavy quark spin (HQS) multiplet structure of P-wave $Q\bar{Q}qqq$-type pentaquarks treated as molecules of a heavy meson and a heavy baryon. We define the light-cloud spin (LCS) basis decomposing the meson–baryon spin wave function into LCS and HQS parts. Introducing the LCS basis, we find HQS multiplets classified by the LCS: five HQS singlets, two HQS doublets, and three HQS triplets. We construct the one-pion exchange potential respecting the heavy quark spin and chiral symmetries to demonstrate which HQS multiplets are realized as a bound state. By solving the coupled channel Schrödinger equations, we study the heavy meson–baryon systems with $I=1/2$ and $J^P=(1/2^+, 3/2^+, 5/2^+, 7/2^+)$. The bound states which have the same LCS structure are degenerate at the heavy quark limit, and the degeneracy is resolved for finite mass. This HQS multiplet structure will be measured in future experiments.


2011 ◽  
Vol 84 (5) ◽  
Author(s):  
A. E. Bondar ◽  
A. Garmash ◽  
A. I. Milstein ◽  
R. Mizuk ◽  
M. B. Voloshin

2014 ◽  
Vol 26 ◽  
pp. 1460107
Author(s):  
C. ALBERTUS ◽  
E. HERNÁNDEZ ◽  
J. NIEVES

We show that semileptonic and electromagnetic decays involving spin-1/2 doubly heavy bc baryons are very sensitive to hyperfine mixing in their wave functions. We further show how heavy quark spin symmetry relations, obtained in the infinite heavy quark mass limit and near zero recoil, could be used to extract the admixtures in a model independent way from semileptonic decay data. On the other hand the infinite heavy quark mass limit gives wrong predictions in the electromagnetic case.


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