We have systematically investigated the mass spectrum and rearrangement decay properties of the exotic tetraquark states with four different flavors using a color-magnetic interaction model. Their masses are estimated by assuming that the is a tetraquark state and their decay widths are obtained by assuming that the Hamiltonian for decay is a constant. According to the adopted method, we find that the most stable states are probably the isoscalar and with and . The width for most unstable tetraquarks is about tens of MeVs, but that for unstable and can be around 100 MeV. For the , our method cannot give consistent mass and width if it is a tetraquark state. For the double-heavy states, their widths can be several MeVs.
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"full_name": "Yao, Tao"
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"value": "We have systematically investigated the mass spectrum and rearrangement decay properties of the exotic tetraquark states with four different flavors using a color-magnetic interaction model. Their masses are estimated by assuming that the <math><mrow><mi>X</mi><mo>(</mo><mn>4140</mn><mo>)</mo></mrow></math> is a <math><mi>c</mi><mi>s</mi><mover><mi>c</mi><mo>\u00af</mo></mover><mover><mi>s</mi><mo>\u00af</mo></mover></math> tetraquark state and their decay widths are obtained by assuming that the Hamiltonian for decay is a constant. According to the adopted method, we find that the most stable states are probably the isoscalar <math><mi>b</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> and <math><mi>c</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> with <math><msup><mi>J</mi><mi>P</mi></msup><mo>=</mo><msup><mn>0</mn><mo>+</mo></msup></math> and <math><msup><mn>1</mn><mo>+</mo></msup></math>. The width for most unstable tetraquarks is about tens of MeVs, but that for unstable <math><mi>c</mi><mi>u</mi><mover><mi>s</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> and <math><mi>c</mi><mi>s</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> can be around 100 MeV. For the <math><mi>X</mi><mo>(</mo><mn>5568</mn><mo>)</mo></math>, our method cannot give consistent mass and width if it is a <math><mi>b</mi><mi>u</mi><mover><mi>s</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> tetraquark state. For the <math><mi>I</mi><mo>(</mo><msup><mi>J</mi><mi>P</mi></msup><mo>)</mo><mo>=</mo><mn>0</mn><mo>(</mo><msup><mn>0</mn><mo>+</mo></msup><mo>)</mo><mo>,</mo><mn>0</mn><mo>(</mo><msup><mn>1</mn><mo>+</mo></msup><mo>)</mo></math> double-heavy <math><msub><mi>T</mi><mrow><mi>b</mi><mi>c</mi></mrow></msub><mo>=</mo><mi>b</mi><mi>c</mi><mover><mi>u</mi><mo>\u00af</mo></mover><mover><mi>d</mi><mo>\u00af</mo></mover></math> states, their widths can be several MeVs."
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