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PTP Online Top > Volume 113 (2005) > Number 6
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Prog. Theor. Phys. Vol. 113 No. 6 (2005) pp. 1287-1313

[ Full Text PDF : FREE ACCESS (1223K) ]

Gaussian Source One-Boson-Exchange Potential between Two Octet Baryons

Isamu Arisaka,1 Kimiko Nakagawa,2 Shoji Shinmura3 and Masanobu Wada2

1Chiba Institute of Technology, Narashino 274-0023, Japan
2College of Science and Technology, Nihon University, Funabashi 274-8501, Japan
3Faculty of Engineering, Gifu University, Gifu 501-1193, Japan

(Received January 18, 2005)

Abstract:

The nonstatic baryon-baryon potential arising from the Gaussian meson source function, Gi exp (-Λi2r2 / 4), is constructed by exchanging the scalar, pseudoscalar and vector meson nonets, where Gi is the strength and Λi the size parameter of source i (i = 1,2). This potential is referred to as GSOBEP. It has no singularity at the origin. In this potential, the radial function behaves like the Yukawa function in the outer region (r ≥1 fm), and like the Yukawa function multiplied by the error function in the inner region (r ≤1 fm). The Gaussian source is assumed to originate from the statistical distribution of valence quarks and many sea quarks. The potential parameters consist of the SU(3) parameters, such as the singlet and octet coupling constants, g1 and g8, the coupling ratio α= gF / (gD + gF), the singlet-octet mixing angle θ for each meson, and the effective source size parameter, expressed as Λ= Λ1Λ2/√Λ12 + Λ22. The potential parameters are determined by the χ2-fitting to the nucleon-nucleon, hyperon-nucleon and hyperon-hyperon data. The fit is quite good on the whole.


URL : http://ptp.ipap.jp/link?PTP/113/1287/
DOI : 10.1143/PTP.113.1287

[ Full Text PDF : FREE ACCESS (1223K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 124 No. 1 (2010) pp. 125-145 :
    Meson-Baryon Potentials by One-Hadron-Exchange Mechanisms with Gaussian Sources
    Shoji Shinmura, Masanobu Wada, Mitsuaki Obu and Yoshinori Akaishi

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