Abstract
The mass spectra of singly charmed and bottom baryons, $\Lambda_{c/b}(1/2^\pm,3/2^-)$ and $\Xi_{c/b}(1/2^\pm,3/2^-)$, are investigated using a nonrelativistic potential model with a heavy quark and a light diquark. The masses of the scalar and pseudoscalar diquarks are taken from a chiral effective theory. The effect of $U_A(1)$ anomaly induces an inverse hierarchy between the masses of strange and non-strange pseudoscalar diquarks, which leads to a similar inverse mass ordering in $\rho$-mode excitations of singly heavy baryons.
Highlights
Diquarks, strongly correlated two-quark states, have a long history in hadron physics since the 1960s [1,2,3,4,5,6,7,8]
We investigated the spectrum of singly heavy baryons using the hybrid approach of the chiral effective theory of diquarks and nonrelativistic quarkdiquark potential model
Our findings are as follows: (i) We found the inverse mass hierarchy in the ρ-mode excitations of singly heavy baryons, MðΞQ; 1=2−Þ < MðΛQ; 1=2−Þ, which is caused by the inverse mass hierarchy of the pseudoscalar diquarks Mðus=ds; 0−Þ < Mðud; 0−Þ
Summary
Strongly correlated two-quark states, have a long history in hadron physics since the 1960s [1,2,3,4,5,6,7,8] (see Refs. [9,10] for reviews). [29], a chiral effective theory based on the SUð3ÞR × SUð3ÞL chiral symmetry with the scalar (JP 1⁄4 0þ, where J and P are the total angular momentum and parity, respectively) diquarks belonging to the color antitriplet 3 ̄ and flavor antitriplet 3 ̄ channel and its pseudoscalar (0−) counterpart was constructed.. [29], a chiral effective theory based on the SUð3ÞR × SUð3ÞL chiral symmetry with the scalar (JP 1⁄4 0þ, where J and P are the total angular momentum and parity, respectively) diquarks belonging to the color antitriplet 3 ̄ and flavor antitriplet 3 ̄ channel and its pseudoscalar (0−) counterpart was constructed.1 These are the following new (and interesting) suggestions:. We investigate the spectrum of singly heavy baryons by using a “hybrid” approach with the constituent diquarks based on the chiral effective theory [29] and nonrelativistic two-body potential model
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