Abstract
In this paper the π1(1400) meson with JPC=1−+ is speculated to be a molecule state which has a similar binding mechanism as the f1(1420). With analogy to the f1(1420) as a pion orbiting in a P-wave around an S-wave KK̄ system, we have a pion orbiting in a P-wave around an S-wave KK̄π system resonating in the η(1295). In order to completely derive the dynamics one would have to develop a true four-body scattering mechanism with Born terms connecting two- and three-body isobar states (η(1295), ρ(770), a0(980), K1(1270)). Here we take a short cut and assume a simpler three-body Born term analogous to the final state rescattering mechanism that generated the f1(1420). The interactions of the a0(980) with the ρ(770) through a kaon exchange, which would require a four-body treatment, are replaced by a modification of the P-wave ππ phase shift. If we allow this modification then binding like the f1(1420) can occur. Furthermore when the η(1295) is formed in rescattering at momentum outside the KK̄ππ phase space, we assume the η(1295) will couple to the ground state η since its quarks and quantum numbers are the same, thus creating ηπ in a P-wave decay.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
