%0 Journal Article %1 Roca2010Description %A Roca, L. %A Oset, E. %D 2010 %K spectroscopy %T A description of the f2(1270), rho3(1690), f4(2050), rho5(2350) and f6(2510) resonances as multi-rho(770) states %U http://arxiv.org/abs/1005.0283 %X In a previous work regarding the interaction of two \$\rho(770)\$ resonances, the \$f\_2(1270)\$ (\$J^PC=2^++\$) resonance was obtained dynamically as a two-\$\rho\$ molecule with a very strong binding energy, 135\~MeV per \$\rho\$ particle. In the present work we use the \$\rho\rho\$ interaction in spin 2 and isospin 0 channel to show that the resonances \$\rho\_3(1690)\$ (\$3^--\$), \$f\_4(2050)\$ (\$4^++\$), \$\rho\_5(2350)\$ (\$5^--\$) and \$f\_6(2510)\$ (\$6^++\$) are basically molecules of increasing number of \$\rho(770)\$ particles. We use the fixed center approximation of the Faddeev equations to write the multi-body interaction in terms of the two-body scattering amplitudes. We find the masses of the states very close to the experimental values and we get an increasing value of the binding energy per \$\rho\$ as the number of \$\rho\$ mesons is increased.

@article{Roca2010Description, abstract = {In a previous work regarding the interaction of two \$\rho(770)\$ resonances, the \$f\_2(1270)\$ (\$J^{PC}=2^{++}\$) resonance was obtained dynamically as a two-\$\rho\$ molecule with a very strong binding energy, 135\~{}MeV per \$\rho\$ particle. In the present work we use the \$\rho\rho\$ interaction in spin 2 and isospin 0 channel to show that the resonances \$\rho\_3(1690)\$ (\$3^{--}\$), \$f\_4(2050)\$ (\$4^{++}\$), \$\rho\_5(2350)\$ (\$5^{--}\$) and \$f\_6(2510)\$ (\$6^{++}\$) are basically molecules of increasing number of \$\rho(770)\$ particles. We use the fixed center approximation of the Faddeev equations to write the multi-body interaction in terms of the two-body scattering amplitudes. We find the masses of the states very close to the experimental values and we get an increasing value of the binding energy per \$\rho\$ as the number of \$\rho\$ mesons is increased.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Roca, L. and Oset, E.}, biburl = {https://www.bibsonomy.org/bibtex/24676dc0e79042263bcce9fe698ba8d63/cmcneile}, citeulike-article-id = {7122696}, citeulike-linkout-0 = {http://arxiv.org/abs/1005.0283}, citeulike-linkout-1 = {http://arxiv.org/pdf/1005.0283}, day = 3, eprint = {1005.0283}, interhash = {d9d9ec9fd6d04959f0a0a4f84d60b6cc}, intrahash = {4676dc0e79042263bcce9fe698ba8d63}, keywords = {spectroscopy}, month = may, posted-at = {2010-05-04 08:31:04}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{A description of the f2(1270), rho3(1690), f4(2050), rho5(2350) and f6(2510) resonances as multi-rho(770) states}}, url = {http://arxiv.org/abs/1005.0283}, year = 2010 }