| Summary: | We study the <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="sans-serif">Λ</mi> <mi>b</mi> </msub> <msup> <mrow> <mo>(</mo> <mn>6146</mn> <mo>)</mo> </mrow> <mn>0</mn> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="sans-serif">Λ</mi> <mi>b</mi> </msub> <msup> <mrow> <mo>(</mo> <mn>6152</mn> <mo>)</mo> </mrow> <mn>0</mn> </msup> </mrow> </semantics> </math> </inline-formula> recently observed by LHCb using the method of Quantum Chromodynamics (QCD) sum rules within the framework of heavy quark effective theory. Our results suggest that they can be interpreted as <i>D</i>-wave bottom baryons of <inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mi>J</mi> <mi>P</mi> </msup> <mo>=</mo> <mn>3</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mn>5</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> </mrow> </semantics> </math> </inline-formula> respectively, both of which contain two <inline-formula> <math display="inline"> <semantics> <mi>λ</mi> </semantics> </math> </inline-formula>-mode excitations. We also investigate other possible assignments containing <inline-formula> <math display="inline"> <semantics> <mi>ρ</mi> </semantics> </math> </inline-formula>-mode excitations. We extract all the parameters that are necessary to study their decay properties when using the method of light-cone sum rules. We predict masses of their strangeness partners to be <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>3</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mn>6.26</mn> <mrow> <mo>−</mo> <mn>0.14</mn> </mrow> <mrow> <mo>+</mo> <mn>0.11</mn> </mrow> </msubsup> </mrow> </semantics> </math> </inline-formula> GeV and <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>5</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mn>6.26</mn> <mrow> <mo>−</mo> <mn>0.14</mn> </mrow> <mrow> <mo>+</mo> <mn>0.11</mn> </mrow> </msubsup> </mrow> </semantics> </math> </inline-formula> GeV with the mass splitting <inline-formula> <math display="inline"> <semantics> <mrow> <mo>Δ</mo> <mi>M</mi> <mspace width="3.33333pt"></mspace> <mo>=</mo> <mspace width="3.33333pt"></mspace> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>5</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>−</mo> <msub> <mi>m</mi> <mrow> <msub> <mo>Ξ</mo> <mi>b</mi> </msub> <mrow> <mo>(</mo> <mn>3</mn> <mo>/</mo> <msup> <mn>2</mn> <mo>+</mo> </msup> <mo>)</mo> </mrow> </mrow> </msub> <mo>=</mo> <msubsup> <mn>4.5</mn> <mrow> <mo>−</mo> <mn>1.5</mn> </mrow> <mrow> <mo>+</mo> <mn>1.9</mn> </mrow> </msubsup> </mrow> </semantics> </math> </inline-formula> MeV, and propose to search for them in future CMS, EIC, and LHCb experiments.
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