paper

An Effective Chiral Lagrangian Approach to Kaon-Nuclear Interactions: Kaonic atom and kaon condensation

arXiv:hep-ph/9406311 · doi:10.1016/0375-9474(94)00623-U

Abstract

On-shell kaon-nucleon scattering, kaonic atom and kaon condensation are treated on the same footing by means of a chiral perturbation expansion to the next-to-next-to-leading order (``NLO"). Constraining the low-energy constants in the chiral Lagrangian by on-shell scattering lengths and kaonic atom data, the off-shell s-wave scattering amplitude up to one-loop order corresponding to NLO and the critical density of kaon condensation up to in-medium two-loop order are computed. The effects on kaon-proton scattering of the quasi-bound and on kaonic atoms and kaon condensation of -proton-hole excitations through four-Fermi interactions are studied to all orders in density within the in-medium two-loop approximation. It is found that the four-Fermi interaction terms in the chiral Lagrangian play an essential role in providing attraction for kaonic atoms, thereby inducing condensation but the critical density is remarkably insensitive to the strength of the four-Fermi interaction that figures in kaonic atoms. The prediction for the critical density is extremely robust and gives -- for ``natural" values of the four-Fermi interactions -- a rather low critical density, $ρ_c \lsim 4 ρ_0$. When the BR scaling is suitably implemented, the condensation sets in at with loop corrections and four-Fermi interactions playing a minor role.

40 pages(LaTeX) and 13 figures, SNUTP-94-50. There were modifications according to the change in the References

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