File:PhysRevC.100.025201.pdf
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DescriptionPhysRevC.100.025201.pdf |
English: We calculate the scattering T-matrix of I=0 ¯¯¯¯KN−πΣ 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. |
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https://journals.aps.org/prc/abstract/10.1103/PhysRevC.100.025201 https://doi.org/10.1103/PhysRevC.100.025201 |
Author | Osamu Morimatsu and Kazuki Yamada |
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Short title | Renormalization of the unitarized Weinberg-Tomozawa interaction without on-shell factorization and $I=0$ $\bar{K} N$-$\pi \Sigma$ coupled channels |
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Image title | Phys. Rev. C 100, 025201 (2019). doi:10.1103/PhysRevC.100.025201 |
Author | Osamu Morimatsu |
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Software used | Published by the American Physical Society |
Conversion program | Acrobat Distiller 10.1.10 (Windows) |
Encrypted | no |
Page size | 589.5 x 792 pts |
Version of PDF format | 1.3 |