Heavy-hadron molecular spectrum from light-meson exchange saturation
Langue
en
Article de revue
Ce document a été publié dans
Phys.Rev.D. 2022, vol. 105, n° 3, p. 034028
Résumé en anglais
If known, the spectrum of heavy-hadron molecules will be a key tool to disentangle the nature of the exotic states that are being discovered in experiments. Here we argue that the general features of the molecular spectrum ...Lire la suite >
If known, the spectrum of heavy-hadron molecules will be a key tool to disentangle the nature of the exotic states that are being discovered in experiments. Here we argue that the general features of the molecular spectrum can be deduced from the idea that the short-range interaction between the heavy hadrons is effectively described by scalar- and vector-meson exchange, i.e., the <math display="inline"><mi>σ</mi></math>, <math display="inline"><mi>ρ</mi></math>, and <math display="inline"><mi>ω</mi></math> mesons. By means of a contact-range theory, where the couplings are saturated by the aforementioned light mesons, we are indeed able to postdict the <math display="inline"><mi>X</mi><mo stretchy="false">(</mo><mn>3872</mn><mo stretchy="false">)</mo></math> (as a <math display="inline"><msup><mi>D</mi><mo>*</mo></msup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover></math> molecule) from the three <math display="inline"><msub><mi>P</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>4312</mn><mo stretchy="false">)</mo></math>, <math display="inline"><msub><mi>P</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>4440</mn><mo stretchy="false">)</mo></math>, and <math display="inline"><msub><mi>P</mi><mi>c</mi></msub><mo stretchy="false">(</mo><mn>4457</mn><mo stretchy="false">)</mo></math> pentaquarks (as <math display="inline"><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><msub><mi mathvariant="normal">Σ</mi><mi>c</mi></msub></math> and <math display="inline"><msup><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mo>*</mo></msup><msub><mi mathvariant="normal">Σ</mi><mi>c</mi></msub></math> molecules). We predict a <math display="inline"><msup><mi>J</mi><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mn>1</mn><mrow><mo>-</mo><mo>-</mo></mrow></msup><mtext> </mtext><mtext> </mtext><mi>D</mi><msub><mover accent="true"><mi>D</mi><mo stretchy="false">¯</mo></mover><mn>1</mn></msub></math> molecule at <math display="inline"><mrow><mn>4240</mn><mi>–</mi><mn>4260</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></mrow></math>, which might support the hypothesis that the <math display="inline"><mi>Y</mi><mo stretchy="false">(</mo><mn>4260</mn><mo stretchy="false">)</mo></math> is at least partly molecular. The extension of these ideas to the light baryons requires minor modifications, after which we recover approximate SU(4)-Wigner symmetry in the two-nucleon system and approximately reproduce the masses of the deuteron and the virtual state.< Réduire
Mots clés en anglais
interaction: short-range
vector meson: exchange
deuteron: mass
hadron: heavy
meson
nucleon nucleon
saturation
pentaquark
X(3872)
Y(4260)
baryon
Origine
Importé de halUnités de recherche