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arXiv · 1903.04374

Doubly Heavy Baryons Expanded in $1/m_Q$

Takayuki Matsuki
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Abstract

Starting from the semirelativistic Hamiltonian for a doubly heavy baryon system ($QQq$) with Coulomb and linear confining scalar potentials, and operating the naive Foldy-Wouthuysen-Tani transformation on two heavy quarks, I construct a formulation how to calculate mass spectra and wave functions of doubly heavy baryons. Based on our formulation, their masses and wave functions are expanded in $1/m_Q$ with a heavy quark mass $m_Q$ and the $\lambda$ mode lowest-order equation is examined carefully to obtain a complete set of eigenfunctions. I claim that the $\rho$ mode wave function should be given by other nonrelativistic methods, e.g., the Godfrey-Isgur model to give a complete wave function for a doubly heavy baryon.

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Takayuki Matsuki. 2019-03-11. Doubly Heavy Baryons Expanded in $1/m_Q$. https://doi.org/10.7566/jpscp.26.022026

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