U-spin sum rules for two-body decays of bottom baryons

U -spin symmetry, which reflects the symmetry between the down-type d and s quarks, is a powerful tool for analyzing heavy hadron weak decays. Motivated by recent experimental achievements in the bottom baryon sector, we study the U -spin sum rules for bottom baryon decays. The effective Hamiltonian for b quark decay is zero under the U -spin lowering operators U₋ⁿ U - n , permitting us to derive U -spin sum rules involving only the b→ d b → d transition or b→ s b → s transition. Moreover, a new operator, Sb=U₊+rU₃-r²U₋ S b = U + + r U 3 - r 2 U - , is proposed to generate U -spin sum rules involving both the b→ d b → d and b→ s b → s transitions. The proof that the effective Hamiltonian for b quark decay is zero under U₋ⁿ U - n and Sb S b is presented. The master formulas for generating U -spin sum rules for the two-body decays of bottom baryons involving b→ cc̄d/s b → c c ¯ d / s , b→ cūd/s b → c u ¯ d / s , b→ uūd/s b → u u ¯ d / s , and