The {pi}{sub 1}(1400) meson as a K{bar K}{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 {minus}+} 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 {ital P}-wave around an {ital S}-wave K{bar K} system, we have a pion orbiting in a {ital P}-wave around an {ital S}-wave K{bar K}{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 {ital 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 K{bar K}{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 {ital P}-wave decay. {copyright} {ital 1998 American Institute of Physics.}
- Research Organization:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 649319
- Report Number(s):
- CONF-970842-; ISSN 0094-243X; TRN: 98:010354
- Journal Information:
- AIP Conference Proceedings, Vol. 432, Issue 1; Conference: Hadron `97. 7th international conference on hadron spectroscopy, Upton, NY (United States), 28-30 Aug 1997; Other Information: PBD: May 1998
- Country of Publication:
- United States
- Language:
- English
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