We study odd parity $$J=1/2$$ and $$J=3/2$$ $$\Xi _c$$ resonances using a unitarized coupled-channel framework based on a $$\mathrm{SU(6)}_{\mathrm{lsf}}\times $$ HQSS-extended Weinberg–Tomozawa baryon–meson interaction, while paying a special attention to the renormalization procedure. We predict a large molecular $$\Lambda _c {\bar{K}}$$ component for the $$\Xi _c(2790)$$ with a dominant $$0^-$$ light-degree-of-freedom spin configuration. We discuss the differences between the $$3/2^-$$ $$\Lambda _c(2625)$$ and $$\Xi _c(2815)$$ states, and conclude that they cannot be SU(3) siblings, whereas we predict the existence of other $$\Xi _c$$ -states, one of them related to the two-pole structure of the $$\Lambda _c(2595)$$ . It is of particular interest a pair of $$J=1/2$$ and $$J=3/2$$ poles, which form a HQSS doublet and that we tentatively assign to the $$\Xi _c(2930)$$ and $$\Xi _c(2970)$$ , respectively. Within this picture, the $$\Xi _c(2930)$$ would be part of a SU(3) sextet, containing either the $$\Omega _c(3090)$$ or the $$\Omega _c(3119)$$ , and that would be completed by the $$\Sigma _c(2800)$$ . Moreover, we identify a $$J=1/2$$ sextet with the $$\Xi _b(6227)$$ state and the recently discovered $$\Sigma _b(6097)$$ . Assuming the equal spacing rule and to complete this multiplet, we predict the existence of a $$J=1/2$$ $$\Omega _b$$ odd parity state, with a mass of 6360 MeV and that should be seen in the $$\Xi _b {\bar{K}}$$ channel.
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"surname": "Nieves",
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"organization": "Frankfurt Institute for Advanced Studies, University of Frankfurt"
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"value": "Institute of Space Sciences (ICE, CSIC), Campus UAB, Carrer de Can Magrans, Barcelona, 08193, Spain",
"organization": "Institute of Space Sciences (ICE, CSIC), Campus UAB"
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"surname": "Tolos",
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"title": "$$\\Xi _c$$ <math><msub><mi>\u039e</mi><mi>c</mi></msub></math> and $$\\Xi _b$$ <math><msub><mi>\u039e</mi><mi>b</mi></msub></math> excited states within a $$\\mathrm{SU(6)}_{\\mathrm{lsf}}\\times $$ <math><mrow><msub><mrow><mi>SU</mi><mo>(</mo><mn>6</mn><mo>)</mo></mrow><mi>lsf</mi></msub><mo>\u00d7</mo></mrow></math> HQSS model"
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"value": "We study odd parity $$J=1/2$$ <math><mrow><mi>J</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math> and $$J=3/2$$ <math><mrow><mi>J</mi><mo>=</mo><mn>3</mn><mo>/</mo><mn>2</mn></mrow></math> $$\\Xi _c$$ <math><msub><mi>\u039e</mi><mi>c</mi></msub></math> resonances using a unitarized coupled-channel framework based on a $$\\mathrm{SU(6)}_{\\mathrm{lsf}}\\times $$ <math><mrow><msub><mrow><mi>SU</mi><mo>(</mo><mn>6</mn><mo>)</mo></mrow><mi>lsf</mi></msub><mo>\u00d7</mo></mrow></math> HQSS-extended Weinberg\u2013Tomozawa baryon\u2013meson interaction, while paying a special attention to the renormalization procedure. We predict a large molecular $$\\Lambda _c {\\bar{K}}$$ <math><mrow><msub><mi>\u039b</mi><mi>c</mi></msub><mover><mrow><mi>K</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> component for the $$\\Xi _c(2790)$$ <math><mrow><msub><mi>\u039e</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2790</mn><mo>)</mo></mrow></mrow></math> with a dominant $$0^-$$ <math><msup><mn>0</mn><mo>-</mo></msup></math> light-degree-of-freedom spin configuration. We discuss the differences between the $$3/2^-$$ <math><mrow><mn>3</mn><mo>/</mo><msup><mn>2</mn><mo>-</mo></msup></mrow></math> $$\\Lambda _c(2625)$$ <math><mrow><msub><mi>\u039b</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2625</mn><mo>)</mo></mrow></mrow></math> and $$\\Xi _c(2815)$$ <math><mrow><msub><mi>\u039e</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2815</mn><mo>)</mo></mrow></mrow></math> states, and conclude that they cannot be SU(3) siblings, whereas we predict the existence of other $$\\Xi _c$$ <math><msub><mi>\u039e</mi><mi>c</mi></msub></math> -states, one of them related to the two-pole structure of the $$\\Lambda _c(2595)$$ <math><mrow><msub><mi>\u039b</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2595</mn><mo>)</mo></mrow></mrow></math> . It is of particular interest a pair of $$J=1/2$$ <math><mrow><mi>J</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math> and $$J=3/2$$ <math><mrow><mi>J</mi><mo>=</mo><mn>3</mn><mo>/</mo><mn>2</mn></mrow></math> poles, which form a HQSS doublet and that we tentatively assign to the $$\\Xi _c(2930)$$ <math><mrow><msub><mi>\u039e</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2930</mn><mo>)</mo></mrow></mrow></math> and $$\\Xi _c(2970)$$ <math><mrow><msub><mi>\u039e</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2970</mn><mo>)</mo></mrow></mrow></math> , respectively. Within this picture, the $$\\Xi _c(2930)$$ <math><mrow><msub><mi>\u039e</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2930</mn><mo>)</mo></mrow></mrow></math> would be part of a SU(3) sextet, containing either the $$\\Omega _c(3090)$$ <math><mrow><msub><mi>\u03a9</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>3090</mn><mo>)</mo></mrow></mrow></math> or the $$\\Omega _c(3119)$$ <math><mrow><msub><mi>\u03a9</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>3119</mn><mo>)</mo></mrow></mrow></math> , and that would be completed by the $$\\Sigma _c(2800)$$ <math><mrow><msub><mi>\u03a3</mi><mi>c</mi></msub><mrow><mo>(</mo><mn>2800</mn><mo>)</mo></mrow></mrow></math> . Moreover, we identify a $$J=1/2$$ <math><mrow><mi>J</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math> sextet with the $$\\Xi _b(6227)$$ <math><mrow><msub><mi>\u039e</mi><mi>b</mi></msub><mrow><mo>(</mo><mn>6227</mn><mo>)</mo></mrow></mrow></math> state and the recently discovered $$\\Sigma _b(6097)$$ <math><mrow><msub><mi>\u03a3</mi><mi>b</mi></msub><mrow><mo>(</mo><mn>6097</mn><mo>)</mo></mrow></mrow></math> . Assuming the equal spacing rule and to complete this multiplet, we predict the existence of a $$J=1/2$$ <math><mrow><mi>J</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math> $$\\Omega _b$$ <math><msub><mi>\u03a9</mi><mi>b</mi></msub></math> odd parity state, with a mass of 6360 MeV and that should be seen in the $$\\Xi _b {\\bar{K}}$$ <math><mrow><msub><mi>\u039e</mi><mi>b</mi></msub><mover><mrow><mi>K</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> channel."
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