Magnetic moments of hidden-bottom pentaquark states
Halil Mutuk
Abstract
Abstract We study systematically magnetic moments of hiddden-bottom pentaquark states with quantum numbers $$J^P=\frac{1}{2}^{\pm }$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>J</mml:mi><mml:mi>P</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>±</mml:mo></mml:msup></mml:mrow></mml:math> , $$J^P=\frac{3}{2}^{\pm }$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>J</mml:mi><mml:mi>P</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mfrac><mml:mn>3</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>±</mml:mo></mml:msup></mml:mrow></mml:math> , and $$J^P=\frac{5}{2}^{\pm }$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>J</mml:mi><mml:mi>P</mml:mi></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mfrac><mml:mn>5</mml:mn><mml:mn>2</mml:mn></mml:mfrac><mml:mo>±</mml:mo></mml:msup></mml:mrow></mml:math> with molecular, diquark–diquark–antiquark, and diquark–triquark models. The numerical results show that magnetic moments are different within the same model according to same quantum numbers and spin-orbit couplings. The results are also different when different models are taken into account with the same angular momentum. The magnetic moments encode valuable information about inner structures. We believe that our results may be helpful for experimental studies.