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• W3124642783 abstract "Abstract In this work, we study possible hidden-bottom molecular pentaquarks $$P_b$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>P</mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:math> from coupled-channel $$varSigma ^{(*)}_bB^{(*)}-varLambda _bB^{(*)}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msubsup> <mml:mi>Σ</mml:mi> <mml:mi>b</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow /> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> </mml:msubsup> <mml:msup> <mml:mi>B</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow /> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> </mml:msup> <mml:mo>-</mml:mo> <mml:msub> <mml:mi>Λ</mml:mi> <mml:mi>b</mml:mi> </mml:msub> <mml:msup> <mml:mi>B</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mrow /> <mml:mo>∗</mml:mo> <mml:mo>)</mml:mo> </mml:mrow> </mml:msup> </mml:mrow> </mml:math> interaction in the quasipotential Bethe-Salpeter equation approach. In isodoublet sector with $$I=1/2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>I</mml:mi> <mml:mo>=</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> , with the same reasonable parameters the interaction produces seven molecular states, a state near $$ varSigma _bB$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>b</mml:mi> </mml:msub> <mml:mi>B</mml:mi> </mml:mrow> </mml:math> threshold with spin parity $$J^P=1/2^-$$ <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:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:msup> <mml:mn>2</mml:mn> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> , a state near $$varSigma ^*_bB$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msubsup> <mml:mi>Σ</mml:mi> <mml:mi>b</mml:mi> <mml:mo>∗</mml:mo> </mml:msubsup> <mml:mi>B</mml:mi> </mml:mrow> </mml:math> threshold with $$3/2^-$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo>/</mml:mo> <mml:msup> <mml:mn>2</mml:mn> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> , two states near $$varSigma _bB^*$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>b</mml:mi> </mml:msub> <mml:msup> <mml:mi>B</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:mrow> </mml:math> threshold with $$1/2^-$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:msup> <mml:mn>2</mml:mn> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> and $$3/2^-$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo>/</mml:mo> <mml:msup> <mml:mn>2</mml:mn> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> , and three states near $$varSigma _b^*B^*$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msubsup> <mml:mi>Σ</mml:mi> <mml:mi>b</mml:mi> <mml:mo>∗</mml:mo> </mml:msubsup> <mml:msup> <mml:mi>B</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:mrow> </mml:math> threshold with $$1/2^-$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:msup> <mml:mn>2</mml:mn> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> , $$3/2^-$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo>/</mml:mo> <mml:msup> <mml:mn>2</mml:mn> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> , and $$5/2^-$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mn>5</mml:mn> <mml:mo>/</mml:mo> <mml:msup> <mml:mn>2</mml:mn> <mml:mo>-</mml:mo> </mml:msup> </mml:mrow> </mml:math> . The results suggest that three states near $$varSigma _b^* B^*$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msubsup> <mml:mi>Σ</mml:mi> <mml:mi>b</mml:mi> <mml:mo>∗</mml:mo> </mml:msubsup> <mml:msup> <mml:mi>B</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:mrow> </mml:math> threshold and two states near $$varSigma _b B^*$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>Σ</mml:mi> <mml:mi>b</mml:mi> </mml:msub> <mml:msup> <mml:mi>B</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:mrow> </mml:math> threshold are very close, respectively, which may be difficult to distinguish in experiment without partial wave analysis. Compared with the hidden-charm pentaquark, the $$P_b$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msub> <mml:mi>P</mml:mi> <mml:mi>b</mml:mi> </mml:msub> </mml:math> states are relatively narrow with widths at an order of magnitude of 1 MeV or smaller. The importance of each channel considered is also discussed, and it is found that the $$varLambda _b B^*$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:msub> <mml:mi>Λ</mml:mi> <mml:mi>b</mml:mi> </mml:msub> <mml:msup> <mml:mi>B</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:mrow> </mml:math> channel provides important contribution for the widths of those states. In isoquartet sector with $$I=3/2$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>I</mml:mi> <mml:mo>=</mml:mo> <mml:mn>3</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> , cutoff should be considerably enlarged to achieve bound states from the interaction, which makes the existence of such states unreliable. The results in the current work are helpful for searching for hidden-bottom molecular pentaquarks in future experiments, such as the COMPASS, J-PARC, and the Electron Ion Collider in China (EicC)." @default.
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• W3124642783 title "Hidden-bottom molecular states from $$varSigma ^{(*)}_bB^{(*)}-varLambda _bB^{(*)}$$ interaction" @default.
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