Investigations of $\Lambda$ states with spin-parity $\frac{3}{2}^{\pm}$

التفاصيل البيبلوغرافية
العنوان: Investigations of $\Lambda$ states with spin-parity $\frac{3}{2}^{\pm}$
المؤلفون: Azizi, K., Sarac, Y., Sundu, H.
سنة النشر: 2024
المجموعة: High Energy Physics - Experiment
High Energy Physics - Lattice
High Energy Physics - Phenomenology
مصطلحات موضوعية: High Energy Physics - Phenomenology, High Energy Physics - Experiment, High Energy Physics - Lattice
الوصف: The present study provides spectroscopic investigations of spin-$\frac{3}{2}$ $\Lambda$ baryons with both positive and negative parities. The analysis mainly focuses on three states, namely $1P$, $2P$, and $2S$, and corresponding masses are calculated using the QCD sum rule method. To implement the method, we apply two types of interpolating currents with octet and singlet quantum numbers and compare the corresponding results with the reported masses of experimentally observed states. From the comparisons, it is extracted that the results of interpolating current with octet quantum numbers are in good agreement with the experimentally measured masses. The masses obtained with this interpolating current are $m=1513.64\pm 8.76$ MeV for $1P$ state with $J^P=\frac{3}{2}^-$, $m'=1687.91\pm 0.31$ MeV for $2P$ state with $J^P=\frac{3}{2}^-$ and $\tilde{m}=1882.37 \pm 11.95$ MeV for $2S$ state with $J^P=\frac{3}{2}^+$ and they are consistent with the experimental masses of $\Lambda(1520)$, $\Lambda(1690)$ and $\Lambda(1890)$, respectively, which confirm their spin-parity quantum numbers. Besides, we calculate the corresponding current coupling constants, which are utilized as inputs in the calculations of different form factors defining the widths of the states under study.
Comment: 11 Pages, 6 Figures and 3 Tables
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.00134
رقم الأكسشن: edsarx.2402.00134
قاعدة البيانات: arXiv