Prog. Theor. Phys. Vol. 84 No. 4 (1990) pp. 641-657

[ Full Text PDF : FREE ACCESS (826K) ]

Improvement of the Gross Theory of β-Decay. II

— One-Particle Strength Function —

Takahiro Tachibana, Masami Yamada and Yukihisa Yoshida^*

Science and Engineering Research Laboratory, Waseda University, Tokyo 169
^*Department of Physics and Applied Physics, Waseda University, Tokyo 169

(Received February 9, 1990)

Abstract:

An attempt is made to improve the gross theory of nuclear β-decay by modifying the one-particle strength function. For the Gamow-Teller transition, a one-particle strength function having a peak with a long tail on each side is empolyed. The position, height and width parameters of the peak are adjusted so as to reproduce the experimental Gamow-Teller giant resonance. A method for calculating sum rules of the one-particle strength function is proposed to get information on the tail, and the results suggest a much longer length of the tails than that of the previous gross theory. Similar modifications of the one-particle strength function are also made for other transitions, especially for the axial-vector-type first forbidden transitions. Newly calculated β-decay half-lives are briefly discussed in comparison with experimental data.

URL : http://ptp.ipap.jp/link?PTP/84/641/
DOI : 10.1143/PTP.84.641

References:

T. Takahashi, M. Yamada and T. Kondoh, Atomic Data and Nuclear Data Tables 12 (1973), 101.
T. Kondoh, T. Tachibana and M. Yamada, Prog. Theor. Phys. 74 (1985), 708[PTP].
D. J. Horen, et al., Phys. Lett. 95B (1980), 27; ibid. 99B (1981), 383.
C. Gaarde et al., Nucl. Phys. A369 (1981), 258.
F. Iwamoto and M. Yamada, Prog. Theor. Phys. 17 (1957), 543[PTP]; ibid. 18 (1957), 345[PTP].
E. Feenberg, Theory of Quantum Fluids (Academic Press, New York and London, 1969).
J. W. Clark, Prog. Part. Nucl. Phys. 2 (1979), 89.
T. Tachibana, S. Ohsugi and M. Yamada, AIP Conf. Proc. 164, Nuclei Far from Stability (1988), p. 614.
M. Yamada, Proc. Int. Conf. on Nuclear Data for Science and Technology, ed. S. Igarashi (Japan Atomic Energy Research Institute, 1988), p. 841.
M. Yamada, Proc. Yamada Conf. XXIII, Nuclear Weak Process and Nuclear Structure, ed. M. Morita, et al. (World Scientific, Singapore, 1989), p. 485.
T. Kikuta (Ohmura), M. Morita and M. Yamada, Prog. Theor. Phys. 15 (1956), 222[PTP].
T. Yoshikoshi, K. Oyamatsu and M. Yamada, Prog. Theor. Phys. 79 (1988), 493[PTP].
T. Hamada and I. D. Johnston, Nucl. Phys. 34 (1962), 382[CrossRef].
T. Hamada, Y. Nakamura and R. Tamagaki, Prog. Theor. Phys. 33 (1965), 769[PTP].
B. L. Berman and S. C. Fultz, Rev. Mod. Phys. 47 (1975), 713[APS].
T. Tachibana, M. Yamada and K. Nakata, Report of Science and Engineering Research Laboratory, Waseda University, No. 88-3 (1988); No. 88-4 (1988).
A. H. Wapstra, G. Audi and R. Hoekstra, Atomic Data and Nuclear Data Tables 39 (1988), 281.
T. Tachibana, M. Uno, M. Yamada and S. Yamada, Atomic Data and Nuclear Data Tables 39 (1988), 251.
E. Browne and R. B. Firestone, Table of Radioactive Isotopes (John Wiley & Sons, Inc., 1986), and data from Nuclear Data Sheets.
T. Kondoh and M. Yamada, Prog. Theor. Phys. Suppl. No. 60 (1976), 136[PTP].
T. Tachibana, M. Yamada, K. Nakata, S. Matsuda and R. Nakasima, Proc. Int. Conf. on Nuclear Data for Science and Technology, ed. S. Igarashi (Japan Atomic Energy Research Institute, 1988), p. 885.
H. V. Klapdor, J. Metzinger and T. Oda, Atomic Data and Nuclear Data Tables 31 (1984), 81.
A. Staudt, E. Bender, K. Muto and H. V. Klapdor, Atomic Data and Nuclear Data Tables 44 (1990), 79.
B. A. Brown and B. H. Wildenthal, Atomic Data and Nuclear Data Tables 33 (1985), 347.

Citing Article(s) :

Journal of the Physical Society of Japan 65 (1996) pp. 1135-1138 :
Identification of a New Isotope ¹⁶⁶Tb

Masato Asai, Kazuaki Tsukada, Shin-ichi Ichikawa, Akihiko Osa, Yasuaki Kojima, Michihiro Shibata, Hiroshi Yamamoto, Kiyoshi Kawade, Nobuo Shinohara, Yuichiro Nagame, Hideki Iimura, Yuichi Hatsukawa and Ichiro Nishinaka