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Prog. Theor. Phys. Vol. 69 No. 4 (1983) pp. 1184-1194

Divergence Disease of the Pion-Baryon Interaction in Quark-Based Models

Y. Nogami and Akira Suzuki

Department of Physics, McMaster University, Hamilton, Ontario L8S 4M1

(Received November 20, 1982)

Abstract:

We examine the divergence of the baryon self-energy due to the pion-quark interaction in the chiral bag model and the cloudy bag model. For the pion-quark coupling only the lowest nonvanishing (i.e., the second) order is considered but the sum over virtual excitations of the quark is carried out. We point out that there are two types of divergence involved. One is the ultraviolet divergence that is common to local interactions, and the other is peculiar to the bag with a sharp surface. Unlike the former, the latter remains divergent even if the finite size of the pion is taken into account. If the bag surface is smeared and the finite size of the pion is incorporated, the self-energy becomes finite. As far as the question of divergence/convergence of the self-energy is concerned there is no significant difference between the chiral bag and cloudy bag.

URL : http://ptp.ipap.jp/link?PTP/69/1184/
DOI : 10.1143/PTP.69.1184

[ Full Text PDF : FREE ACCESS (488K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 775-790 :

   Masses of the Light Hadrons in the Chiral and Cloudy Bag Models

   Koichi Saito

2. Progress of Theoretical Physics Vol. 71 No. 6 (1984) pp. 1303-1317 :

   A Confining Potential Model for a Quark Core and Its Surrounding Pion Clouds

   Masayuki Uehara and Hiroki Kondo

3. Progress of Theoretical Physics Vol. 73 No. 5 (1985) pp. 1198-1210 :

   Pion Scattering by the Nucleon with Breathing Surface

   Naoko Yamanishi, Akira Suzuki and Yasutaro Takahashi

4. Progress of Theoretical Physics Vol. 75 No. 4 (1986) pp. 890-904 :

   Pionic Cloud Effect on Hadron Masses in the MIT Quark Bag Model

   Hirofumi Takashita, Atsushi Hosaka and Hiroshi Toki

5. Progress of Theoretical Physics Vol. 77 No. 3 (1987) pp. 502-507 :

   A Variational Approach to Chiral Quark Models

   Yasuhiko Futami, Yasuhiko Odajima and Akira Suzuki

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