Radiative <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>M</mml:mi><mml:mn>1</mml:mn></mml:math> transitions of heavy baryons: Effective quark mass scheme
Avijit Hazra, Saheli Rakshit, Rohit Dhir
Abstract
We calculate the magnetic moments of ground state ${J}^{P}={\frac{1}{2}}^{+}$ and ${J}^{P}={\frac{3}{2}}^{+}$ heavy flavor charm and bottom baryon states employing the concept of effective mass based on single gluon exchange interaction coupling to the spectator quarks in the nonrelativistic quark model. We exploit the current experimental information in the heavy flavor sector to estimate the interaction contributions to get the effective masses of the quarks inside the baryons. We study the spin ${\frac{1}{2}}^{\ensuremath{'}+}\ensuremath{\rightarrow}{\frac{1}{2}}^{+}$, ${\frac{3}{2}}^{+}\ensuremath{\rightarrow}{\frac{1}{2}}^{+}$, and ${\frac{3}{2}}^{+}\ensuremath{\rightarrow}{\frac{1}{2}}^{\ensuremath{'}+}$ transition moments for these baryons. We make robust predictions of the radiative $M1$ decay widths of singly, doubly, and triply heavy flavored baryons.