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Renormalization of the unitarized Weinberg-Tomozawa interaction without on-shell factorization and I=0 K̅N-πΣ coupled channels.
- Source :
-
Physical Review C . Aug2019, Vol. 100 Issue 2, p1-1. 1p. - Publication Year :
- 2019
-
Abstract
- We calculate the scattering T-matrix of I=0 K̅N-pS coupled channels taking a ladder sum of the Weinberg-Tomozawa interaction without on-shell factorization, regularizing three types of divergent meson-baryon loop functions by dimensional regularization and renormalizing them by introducing counter terms. We show that not only infinite but also finite renormalization is important for the renormalized physical scattering T-matrix to have the form of the Weinberg-Tomozawa interaction. The results with and without on-shell factorization are compared. The difference of the scattering T-matrix is small near the renormalization point, close to the observed Λ(1405). The difference, however, increases with the distance from the renormalization point. The scattering T-matrix without on-shell factorization has two poles in the complex center-of-mass energy plane as with on-shell factorization, the real part of which is close to the observed Λ(1405). While the difference is small with and without on-shell factorization in the position of the first pole, closer to the observed Λ(1405), the difference is considerably large in the position of the second pole: the imaginary part of the center-of-mass energy of the second pole without on-shell factorization is as large as or even larger than twice that with on-shell factorization. Also, we discuss the origin of the contradiction about the second pole between two approaches, the chiral unitary approach with on-shell factorization and the phenomenological approach without on-shell factorization. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 24699985
- Volume :
- 100
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Physical Review C
- Publication Type :
- Academic Journal
- Accession number :
- 138535193
- Full Text :
- https://doi.org/10.1103/PhysRevC.100.025201