Heavy-quark spin symmetry partners of the X(3872) revisited
We revisit the consequences of the heavy-quark spin symmetry for the possible spin partners of the X(3872). We confirm that, if the X(3872) were a DD¯⁎ molecular state with the quantum numbers JPC=1++, then in the strict heavy-quark limit there should exist three more hadronic molecules degenerate w...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316305792 |
| _version_ | 1818029248108036096 |
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| author | V. Baru E. Epelbaum A.A. Filin C. Hanhart Ulf-G. Meißner A.V. Nefediev |
| author_facet | V. Baru E. Epelbaum A.A. Filin C. Hanhart Ulf-G. Meißner A.V. Nefediev |
| author_sort | V. Baru |
| collection | DOAJ |
| description | We revisit the consequences of the heavy-quark spin symmetry for the possible spin partners of the X(3872). We confirm that, if the X(3872) were a DD¯⁎ molecular state with the quantum numbers JPC=1++, then in the strict heavy-quark limit there should exist three more hadronic molecules degenerate with the X(3872), with the quantum numbers 0++, 1+−, and 2++ in line with previous results reported in the literature. We demonstrate that this result is robust with respect to the inclusion of the one-pion exchange interaction between the D mesons. However, this is true only if all relevant partial waves as well as particle channels which are coupled via the pion-exchange potential are taken into account. Otherwise, the heavy-quark symmetry is destroyed even in the heavy-quark limit. Finally, we solve the coupled-channel problem in the 2++ channel with nonperturbative pions beyond the heavy-quark limit and, contrary to the findings of previous calculations with perturbative pions, find for the spin-2 partner of the X(3872) a significant shift of the mass as well as a width of the order of 50 MeV. Keywords: Exotic hadrons, Charmonium, Chiral dynamics, Effective field theory |
| first_indexed | 2024-12-10T05:16:40Z |
| format | Article |
| id | doaj.art-1157e1352085432eb451af3a8c8d1524 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-10T05:16:40Z |
| publishDate | 2016-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-1157e1352085432eb451af3a8c8d15242022-12-22T02:00:56ZengElsevierPhysics Letters B0370-26932016-12-017632028Heavy-quark spin symmetry partners of the X(3872) revisitedV. Baru0E. Epelbaum1A.A. Filin2C. Hanhart3Ulf-G. Meißner4A.V. Nefediev5Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany; Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117218 Moscow, RussiaInstitut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, GermanyInstitut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, GermanyForschungszentrum Jülich, Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, D-52425 Jülich, GermanyForschungszentrum Jülich, Institute for Advanced Simulation, Institut für Kernphysik and Jülich Center for Hadron Physics, D-52425 Jülich, Germany; Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, GermanyInstitute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117218 Moscow, Russia; National Research Nuclear University MEPhI, 115409, Kashirskoe highway 31, Moscow, Russia; Moscow Institute of Physics and Technology, 141700, 9 Institutsky lane, Dolgoprudny, Moscow Region, RussiaWe revisit the consequences of the heavy-quark spin symmetry for the possible spin partners of the X(3872). We confirm that, if the X(3872) were a DD¯⁎ molecular state with the quantum numbers JPC=1++, then in the strict heavy-quark limit there should exist three more hadronic molecules degenerate with the X(3872), with the quantum numbers 0++, 1+−, and 2++ in line with previous results reported in the literature. We demonstrate that this result is robust with respect to the inclusion of the one-pion exchange interaction between the D mesons. However, this is true only if all relevant partial waves as well as particle channels which are coupled via the pion-exchange potential are taken into account. Otherwise, the heavy-quark symmetry is destroyed even in the heavy-quark limit. Finally, we solve the coupled-channel problem in the 2++ channel with nonperturbative pions beyond the heavy-quark limit and, contrary to the findings of previous calculations with perturbative pions, find for the spin-2 partner of the X(3872) a significant shift of the mass as well as a width of the order of 50 MeV. Keywords: Exotic hadrons, Charmonium, Chiral dynamics, Effective field theoryhttp://www.sciencedirect.com/science/article/pii/S0370269316305792 |
| spellingShingle | V. Baru E. Epelbaum A.A. Filin C. Hanhart Ulf-G. Meißner A.V. Nefediev Heavy-quark spin symmetry partners of the X(3872) revisited Physics Letters B |
| title | Heavy-quark spin symmetry partners of the X(3872) revisited |
| title_full | Heavy-quark spin symmetry partners of the X(3872) revisited |
| title_fullStr | Heavy-quark spin symmetry partners of the X(3872) revisited |
| title_full_unstemmed | Heavy-quark spin symmetry partners of the X(3872) revisited |
| title_short | Heavy-quark spin symmetry partners of the X(3872) revisited |
| title_sort | heavy quark spin symmetry partners of the x 3872 revisited |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316305792 |
| work_keys_str_mv | AT vbaru heavyquarkspinsymmetrypartnersofthex3872revisited AT eepelbaum heavyquarkspinsymmetrypartnersofthex3872revisited AT aafilin heavyquarkspinsymmetrypartnersofthex3872revisited AT chanhart heavyquarkspinsymmetrypartnersofthex3872revisited AT ulfgmeißner heavyquarkspinsymmetrypartnersofthex3872revisited AT avnefediev heavyquarkspinsymmetrypartnersofthex3872revisited |