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Prog. Theor. Phys. Vol. 23 No. 2 (1960) pp. 251-272

Contribution from the Three-Pion State to the Axial Vector Coupling Constant in β-Decay

Yasunori Fujii and Susumu Furuichi^*

Department of Physics, College of Science and Engineering, Nihon University, Tokyo
^*Department of Physics, Faculty of Science, Rikkyo University, Tokyo

(Received October 2, 1959)

Abstract:

The effect of the pion cloud to the ratio g_A/g_V in the β-decay is investigated, with the assumption of the conserved current for the vector interaction. The three-pion state is considered as the simplest stae which might improve the result of the static theory, which gives g_A/g_V<1. According to the lowest order perturbation calculation, the contribution from this state turns out to be of the positive sign and large. It seems promising to explain the observed ratio g_A/g_V>1 even when the decrease of the bare state probability is taken into account, unless the effect of the suppression of the nucleon pair is too strong.

URL : http://ptp.ipap.jp/link?PTP/23/251/
DOI : 10.1143/PTP.23.251

[ Full Text PDF : FREE ACCESS (1456K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. R. P. Feynman and M. Gell-Mann, Phys. Rev. 109 (1958), 193[APS].
2. E. C. G. Sudarshan and R. E. Marshak, Phys. Rev. 109 (1958), 1860[APS].
3. S. S. Gershtein and J. B. Zeldovich, Z. E. T. F. (USSR) 29 (1955), 698; Sov. Phys. 2 (1956), 576.
4. R. A. Swanson, R. A. Lundy, V. L. Telegdi and D. D. Yovanovitch, Phys. Rev. Lett. 2 (1959), 430[APS].
5. M. Bardon, D. Berley and L. M. Lederman, Phys. Rev. Lett. 2 (1959), 56[APS].
6. M. Ross, Phys. Rev. 104 (1956), 1736[APS].
7. Proceedings of the Annual International Conference (CERN), 1958.
8. J. C. Polkinghorne, Nuovo Cim. 8 (1958), 179.
   B. J. Blin-Stoyle, Nuovo Cim. 10 (1958), 132.
   J. C. Taylor, Phys. Rev. 110 (1958), 1216[APS].
   M. L. Goldberger and S. B. Treiman, Phys. Rev. 110 (1958), 1478[APS].
9. G. F. Chew, R. Karplus, S. Gasiorowicz and F. Zachariasen, Phys. Rev. 110 (1958), 265[APS].
   P. Federbush, M. L. Goldberger and S. B. Treiman, Phys. Rev. 112 (1958), 642[APS].
10. K. Hiida, N. Nakanishi, Y. Nogami and M. Uehara, Prog. Theor. Phys. 22 (1959), 247[PTP].
11. R. G. Sachs, Phys. Rev. 87 (1952), 1100[APS].
    H. Miyazawa, Phys. Rev. 101 (1956), 1564[APS].
12. See, for instance, references 6) and 13).
13. G. C. Wick, Rev. Mod. Phys. 27 (1955), 339[APS].
    G. F. Chew and F. E. Low, Phys. Rev. 101 (1956), 1570[APS]; ibid. 101 (1956), 1579[APS].
14. See reference 9).
    N. N. Bogoliubov et al., Lectures Note (Princeton).

Citing Article(s) :

1. Progress of Theoretical Physics Vol. 24 No. 1 (1960) pp. 27-34 :

   On Ratios of the Renormalized and the Bare Coupling Constants in the Beta Decay Interaction

   Ichiro Kawakami

2. Progress of Theoretical Physics Vol. 24 No. 1 (1960) pp. 211-213 :

   On the G_A/G_V Ratio in β-Decay

   Chiaki Ihara

3. Progress of Theoretical Physics Vol. 29 No. 5 (1963) pp. 767-791 :

   The Effect of the Collective Motion of Pion Cloud on Weak Interactions

   Takao Okabayashi, Ikuko Hamamoto, Akira Hatano and Toshiko Saikan

4. Progress of Theoretical Physics Vol. 32 No. 5 (1964) pp. 750-756 :

   Mesic Effect in the Beta-Decay in a Nucleus

   Reido Kobayashi

5. Progress of Theoretical Physics Vol. 33 No. 1 (1965) pp. 75-91 :

   On the Renormalization of the Axial Vector β-Decay Coupling

   Yoshiko Oi

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