The {pi}{sub 1}(1400) meson as a K{anti K}{pi}{pi} molecule

Conference · Mon Dec 01 04:00:00 EST 1997

OSTI ID:554862

Longacre, R S

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 P-wave around an S-wave K{anti K} system, the authors have a pion orbiting in a P-wave around an S-wave K{anti 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}(98), K{sub 1}(1270)). Here they 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 they 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{anti K} {pi}{pi} phase space, they 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.

• Research Organization: Brookhaven National Lab., Upton, NY (United States)
• Sponsoring Organization: USDOE Office of Energy Research, Washington, DC (United States)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 554862
• Report Number(s): BNL--64902; CONF-970842--; ON: DE98001356; BR: KB0201000
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ETA-1295 MESONS
F1-1420 MESONS
FINAL-STATE INTERACTIONS
KAONS
MANY-BODY PROBLEM
MESIC MOLECULES
PARTIAL WAVES
PIONS