Strong decay widths and mass spectra of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>1</mml:mn><mml:mi>D</mml:mi></mml:mrow></mml:math> , <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mi

<jats:p>We calculate the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mn>1</a:mn><a:mi>D</a:mi></a:math>, <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mn>2</c:mn><c:mi>P</c:mi></c:math>, and <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mn>2</e:mn><e:mi>S</e:mi></e:math> mass spectra of the singly bottom baryons and their strong decay widths. The calculations are performed within a harmonic oscillator quark model that incorporates the spin, spin-orbit, isospin, and flavor interactions. To obtain the model parameters, we conducted a fit using only 13 of the 22 experimentally observed states. Our predictions align well with the observed states, showing a root-mean-square deviation of 9.6 MeV. We calculate the three-quark strong decay widths within the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mrow><g:mmultiscripts><g:mrow><g:msub><g:mrow><g:mi>P</g:mi></g:mrow><g:mrow><g:mn>0</g:mn></g:mrow></g:msub></g:mrow><g:mprescripts/><g:none/><g:mrow><g:mn>3</g:mn></g:mrow></g:mmultiscripts></g:mrow></g:math> model, which has only one free parameter, the pair creation strength <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msub><i:mi>γ</i:mi><i:mn>0</i:mn></i:msub></i:math>; this is the first time that the <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msub><k:mi mathvariant="normal">Λ</k:mi><k:mi>b</k:mi></k:msub><k:mi>η</k:mi></k:math>, <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:msub><n:mi mathvariant="normal">Σ</n:mi><n:mi>b</n:mi></n:msub><n:mi>ρ</n:mi></n:math>, <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:msubsup><q:mi mathvariant="normal">Σ</q:mi><q:mi>b</q:mi><q:mo>*</q:mo></q:msubsup><q:mi>ρ</q:mi></q:math>, <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:msub><t:mi mathvariant="normal">Λ</t:mi><t:mi>b</t:mi></t:msub><t:msup><t:mi>η</t:mi><t:mo>′</t:mo></t:msup></t:math>, <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"><w:msub><w:mi mathvariant="normal">Λ</w:mi><w:mi>b</w:mi></w:msub><w:mi>ω</w:mi></w:math>, <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:msub><z:mi mathvariant="normal">Ξ</z:mi><z:mi>b</z:mi></z:msub><z:mi>K</z:mi></z:math>, <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:msubsup><cb:mi mathvariant="normal">Ξ</cb:mi><cb:mi>b</cb:mi><cb:mo>′</cb:mo></cb:msubsup><cb:mi>K</cb:mi></cb:math>, <fb:math xmlns:fb="http://www.w3.org/1998/Math/MathML" display="inline"><fb:msubsup><fb:mi mathvariant="normal">Ξ</fb:mi><fb:mi>b</fb:mi><fb:mo>*</fb:mo></fb:msubsup><fb:mi>K</fb:mi></fb:math>, <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"><ib:msub><ib:mi mathvariant="normal">Ξ</ib:mi><ib:mi>b</ib:mi></ib:msub><ib:msup><ib:mi>K</ib:mi><ib:mo>*</ib:mo></ib:msup></ib:math>, <lb:math xmlns:lb="http://www.w3.org/1998/Math/MathML" display="inline"><lb:msubsup><lb:mi mathvariant="normal">Ξ</lb:mi><lb:mi>b</lb:mi><lb:mo>′</lb:mo></lb:msubsup><lb:msup><lb:mi>K</lb:mi><lb:mo>*</lb:mo></lb:msup></lb:math>, and <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"><ob:msubsup><ob:mi mathvariant="normal">Ξ</ob:mi><ob:mi>b</ob:mi><ob:mo>*</ob:mo></ob:msubsup><ob:msup><ob:mi>K</ob:mi><ob:mo>*</ob:mo></ob:msup></ob:math> channels have been considered in the calculation of the strong decay widths of the excited <rb:math xmlns:rb="http://www.w3.org/1998/Math/MathML" display="inline"><rb:msub><rb:mi mathvariant="normal">Λ</rb:mi><rb:mi>b</rb:mi></rb:msub></rb:math> states; the <ub:math xmlns:ub="http://www.w3.org/1998/Math/MathML" display="inline"><ub:msub><ub:mi mathvariant="normal">Σ</ub:mi><ub:mi>b</ub:mi></ub:msub><ub:mi>η</ub:mi></ub:math>, <xb:math xmlns:xb="http://www.w3.org/1998/Math/MathML" display="inline"><xb:msub><xb:mi mathvariant="normal">Ξ</xb:mi><xb:mi>b</xb:mi></xb:msub><xb:mi>K</xb:mi></xb:math>, <ac:math xmlns:ac="http://www.w3.org/1998/Math/MathML" display="inline"><ac:msub><ac:mi mathvariant="normal">Σ</ac:mi><ac:mi>b</ac:mi></ac:msub><ac:mi>ρ</ac:mi></ac:math>, <dc:math xmlns:dc="http://www.w3.org/1998/Math/MathML" display="inline"><dc:msubsup><dc:mi mathvariant="normal">Σ</dc:mi><dc:mi>b</dc:mi><dc:mo>*</dc:mo></dc:msubsup><dc:mi>ρ</dc:mi></dc:math>, <gc:math xmlns:gc="http://www.w3.org/1998/Math/MathML" display="inline"><gc:msub><gc:mi mathvariant="normal">Λ</gc:mi><gc:mi>b</gc:mi></gc:msub><gc:mi>ρ</gc:mi></gc:math>, <jc:math xmlns:jc="http://www.w3.org/1998/Math/MathML" display="inline"><jc:msubsup><jc:mi mathvariant="normal">Σ</jc:mi><jc:mi>b</jc:mi><jc:mo>*</jc:mo></jc:msubsup><jc:mi>η</jc:mi></jc:math>, <mc:math xmlns:mc="http://www.w3.org/1998/Math/MathML" display="inline"><mc:msub><mc:mi mathvariant="normal">Σ</mc:mi><mc:mi>b</mc:mi></mc:msub><mc:msup><mc:mi>η</mc:mi><mc:mo>′</mc:mo></mc:msup></mc:math>, <pc:math xmlns:pc="http://www.w3.org/1998/Math/MathML" display="inline"><pc:msubsup><pc:mi mathvariant="normal">Σ</pc:mi><pc:mi>b</pc:mi><pc:mo>*</pc:mo></pc:msubsup><pc:msup><pc:mi>η</pc:mi><pc:mo>′</pc:mo></pc:msup></pc:math>, <sc:math xmlns:sc="http://www.w3.org/1998/Math/MathML" display="inline"><sc:msubsup><sc:mi mathvariant="normal">Ξ</sc:mi><sc:mi>b</sc:mi><sc:mo>′</sc:mo></sc:msubsup><sc:mi>K</sc:mi></sc:math>,<vc:math xmlns:vc="http://www.w3.org/1998/Math/MathML" display="inline"><vc:msubsup><vc:mi mathvariant="normal">Ξ</vc:mi><vc:mi>b</vc:mi><vc:mo>*</vc:mo></vc:msubsup><vc:mi>K</vc:mi></vc:math>, <yc:math xmlns:yc="http://www.w3.org/1998/Math/MathML" display="inline"><yc:msub><yc:mi mathvariant="normal">Ξ</yc:mi><yc:mi>b</yc:mi></yc:msub><yc:msup><yc:mi>K</yc:mi><yc:mo>*</yc:mo></yc:msup></yc:math>, <bd:math xmlns:bd="http://www.w3.org/1998/Math/MathML" display="inline"><bd:msubsup><bd:mi mathvariant="normal">Ξ</bd:mi><bd:mi>b</bd:mi><bd:mo>′</bd:mo></bd:msubsup><bd:msup><bd:mi>K</bd:mi><bd:mo>*</bd:mo></bd:msup></bd:math>, <ed:math xmlns:ed="http://www.w3.org/1998/Math/MathML" display="inline"><ed:msubsup><ed:mi mathvariant="normal">Ξ</ed:mi><ed:mi>b</ed:mi><ed:mo>*</ed:mo></ed:msubsup><ed:msup><ed:mi>K</ed:mi><ed:mo>*</ed:mo></ed:msup></ed:math>, <hd:math xmlns:hd="http://www.w3.org/1998/Math/MathML" display="inline"><hd:msub><hd:mi mathvariant="normal">Σ</hd:mi><hd:mi>b</hd:mi></hd:msub><hd:mi>ω</hd:mi></hd:math>, <kd:math xmlns:kd="http://www.w3.org/1998/Math/MathML" display="inline"><kd:msubsup><kd:mi mathvariant="normal">Σ</kd:mi><kd:mi>b</kd:mi><kd:mo>*</kd:mo></kd:msubsup><kd:mi>ω</kd:mi></kd:math>, <nd:math xmlns:nd="http://www.w3.org/1998/Math/MathML" display="inline"><nd:msub><nd:mi mathvariant="normal">Σ</nd:mi><nd:mn>8</nd:mn></nd:msub><nd:msub><nd:mi>B</nd:mi><nd:mi>s</nd:mi></nd:msub></nd:math>, <qd:math xmlns:qd="http://www.w3.org/1998/Math/MathML" display="inline"><qd:mi mathvariant="normal">Δ</qd:mi><qd:mi>B</qd:mi></qd:math>, <td:math xmlns:td="http://www.w3.org/1998/Math/MathML" display="inline"><td:mi>N</td:mi><td:mo stretchy="false">(</td:mo><td:mn>1520</td:mn><td:mo stretchy="false">)</td:mo><td:mi>B</td:mi></td:math>, <xd:math xmlns:xd="http://www.w3.org/1998/Math/MathML" display="inline"><xd:mi>N</xd:mi><xd:mo stretchy="false">(</xd:mo><xd:mn>1535</xd:mn><xd:mo stretchy="false">)</xd:mo><xd:mi>B</xd:mi></xd:math>, <be:math xmlns:be="http://www.w3.org/1998/Math/MathML" display="inline"><be:mi>N</be:mi><be:mo stretchy="false">(</be:mo><be:mn>1680</be:mn><be:mo stretchy="false">)</be:mo><be:mi>B</be:mi></be:math>, and <fe:math xmlns:fe="http://www.w3.org/1998/Math/MathML" display="inline"><fe:mi>N</fe:mi><fe:mo stretchy="false">(</fe:mo><fe:mn>1720</fe:mn><fe:mo stretchy="false">)</fe:mo><fe:mi>B</fe:mi></fe:math> channels in the calculation of the strong decay widths of the excited <je:math xmlns:je="http://www.w3.org/1998/Math/MathML" display="inline"><je:msub><je:mi mathvariant="normal">Σ</je:mi><je:mi>b</je:mi></je:msub></je:math> states; the <me:math xmlns:me="http://www.w3.org/1998/Math/MathML" display="inline"><me:msub><me:mi mathvariant="normal">Λ</me:mi><me:mi>b</me:mi></me:msub><me:msup><me:mi>K</me:mi><me:mo>*</me:mo></me:msup></me:math>, <pe:math xmlns:pe="http://www.w3.org/1998/Math/MathML" display="inline"><pe:msub><pe:mi mathvariant="normal">Ξ</pe:mi><pe:mi>b</pe:mi></pe:msub><pe:mi>ρ</pe:mi></pe:math>, <se:math xmlns:se="http://www.w3.org/1998/Math/MathML" display="inline"><se:msubsup><se:mi mathvariant="normal">Ξ</se:mi><se:mi>b</se:mi><se:mo>′</se:mo></se:msubsup><se:mi>ρ</se:mi></se:math>, <ve:math xmlns:ve="http://www.w3.org/1998/Math/MathML" display="inline"><ve:msubsup><ve:mi mathvariant="normal">Ξ</ve:mi><ve:mi>b</ve:mi><ve:mo>*</ve:mo></ve:msubsup><ve:mi>ρ</ve:mi></ve:math>, <ye:math xmlns:ye="http://www.w3.org/1998/Math/MathML" display="inline"><ye:msub><ye:mi mathvariant="normal">Σ</ye:mi><ye:mi>b</ye:mi></ye:msub><ye:msup><ye:mi>K</ye:mi><ye:mo>*</ye:mo></ye:msup></ye:math>, <bf:math xmlns:bf="http://www.w3.org/1998/Math/MathML" display="inline"><bf:msubsup><bf:mi mathvariant="normal">Σ</bf:mi><bf:mi>b</bf:mi><bf:mo>*</bf:mo></bf:msubsup><bf:msup><bf:mi>K</bf:mi><bf:mo>*</bf:mo></bf:msup></bf:math>, <ef:math xmlns:ef="http://www.w3.org/1998/Math/MathML" display="inline"><ef:msub><ef:mi mathvariant="normal">Ξ</ef:mi><ef:mi>b</ef:mi></ef:msub><ef:msup><ef:mi>η</ef:mi><ef:mo>′</ef:mo></ef:msup></ef:math>, <hf:math xmlns:hf="http://www.w3.org/1998/Math/MathML" display="inline"><hf:msubsup><hf:mi mathvariant="normal">Ξ</hf:mi><hf:mi>b</hf:mi><hf:mo>′</hf:mo></hf:msubsup><hf:msup><hf:mi>η</hf:mi><hf:mo>′</hf:mo></hf:msup></hf:math>, <kf:math xmlns:kf="http://www.w3.org/1998/Math/MathML" display="inline"><kf:msubsup><kf:mi mathvariant="normal">Ξ</kf:mi><kf:mi>b</kf:mi><kf:mo>*</kf:mo></kf:msubsup><kf:msup><kf:mi>η</kf:mi><kf:mo>′</kf:mo></kf:msup></kf:math>, <nf:math xmlns:nf="http://www.w3.org/1998/Math/MathML" display="inline"><nf:msub><nf:mi mathvariant="normal">Ξ</nf:mi><nf:mi>b</n