The {pi}{sub 1}(1400) meson as a KK-bar{pi}{pi} molecule
- Brookhaven National Laboratory, Upton, New York 11973 (United States)
In this paper the {pi}{sub 1}(1400) meson with J{sup PC}=1{sup -+} is speculated to be a molecule state which has a similar binding mechanism as the f{sub 1}(1420). With analogy to the f{sub 1}(1420) as a pion orbiting in a P-wave around an S-wave KK-bar system, we have a pion orbiting in a P-wave around an S-wave KK-bar{pi} system resonating in the {eta}(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 ({eta}(1295), {rho}(770), a{sub 0}(980), K{sub 1}(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 f{sub 1}(1420). The interactions of the a{sub 0}(980) with the {rho}(770) through a kaon exchange, which would require a four-body treatment, are replaced by a modification of the P-wave {pi}{pi} phase shift. If we allow this modification then binding like the f{sub 1}(1420) can occur. Furthermore when the {eta}(1295) is formed in rescattering at momentum outside the KK-bar{pi}{pi} phase space, we assume the {eta}(1295) will couple to the ground state {eta} since its quarks and quantum numbers are the same, thus creating {eta}{pi} in a P-wave decay.
- OSTI ID:
- 21199083
- Journal Information:
- AIP Conference Proceedings, Vol. 432, Issue 1; Conference: 7. international conference on hadron spectroscopy, Upton, NY (United States), 25-30 Aug 1997; Other Information: DOI: 10.1063/1.56012; (c) 1998 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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