Abstract
A set of phenomenological wave functions has been derived to describe the14N ground state and the isospin triplet consisting of the14C ground state, the first excited state of14N at 2.313 MeV and the14O ground state. Elastic and inelastic electron scattering form factors, the magnetic moment of the14N ground state and the shape factors in theβ ± decay have been employed in a multiparameter fitting procedure to determine the amplitudes of the wave functions inL-S coupling. The inclusion of the beta decay observables in the fit has become possible for the first time since exact formulas for the shape factor in higher order do exist. The set of wave functions deduced exhibit predominately anL=0 contribution for the 0+; 1 states andL=1 and 2 contributions of nearly equal weight for the 1+; 0 state. It was observed that the inclusion of the shape factors allowed a more stringent determination of the amplitudes compared to previous attempts reported in the literature and led in the case of the 0+; 1 states to wave functions that show a small but noticeable difference within the isospin triplet. Besides the observables used for the fit, the radiative widthΓ γ (M1) of the 2.313 MeV state in14N can be described quite well with the derived wave functions, and in addition it has become possible to predict the pathological largeft − value of the14C decay and theft + value of the14O decay precisely. The wave functions are also applied to calculate the14N(γ,π +) cross section.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Inglis, D.R.: Rev. Mod. Phys.25, 390 (1953)
Jancovici, B., Talmi, I.: Phys. Rev.95, 289 (1954)
Sherr, R., Gerhart, J.B., Horie, H., Hornyak, W.F.: Phys. Rev.100, 945 (1955)
Elliot, J.P.: Phil. Mag.1, 503 (1956)
Visscher, W.M., Ferrell, R.A.: Phys. Rev.107, 781 (1957)
Baranger, E., Meshkov, S.: Phys. Rev. Lett.1, 30 (1958)
Weidenmüller, H.A.: Nucl. Phys.36, 151 (1962)
True, W.W.: Phys. Rev.130, 1530 (1963)
Zamick, L.: Phys. Lett.21, 194 (1966)
Rose, H.J., Häusser, O., Warburton, E.K.: Rev. Mod. Phys.40, 591 (1968)
Olness, J.W., Poletti, A.R., Warburton, E.K.: Phys. Rev.154, 971 (1967)
Ensslin, N., Bertozzi, W., Kowalski, S., Sargent, C.P., Turchinetz, W., Williamson, C.F., Fivozinsky, S.P., Lightbody, J.W., Penner, S.: Phys. Rev. C9, 1705 (1974)
Baer, H.W., Bistirlich, J.A., Botton, N. de, Copper, S., Crowe, K.M., Truöl, P., Vergados, J.D.: Phys. Rev. C12, 921 (1975)
Kozub, R.L., Lin, J., Mateja, J.F., Lister, C.F., Millener, D.J., Warburton, E.K.: Phys. Rev. C23, 1571 (1981)
Goulard, B., Lorazo, B., Primakoff, H., Vergados, J.D.: Phys. Rev. C16, 1999 (1977)
Lorazo, B., Goulard, B.: Can. J. Phys.58, 388 (1980)
Jin, Y., Wright, L.E., Bennhold, C., Onley, D.S.: Phys. Rev. C38, 923 (1988)
Cohen, S., Kurath, D.: Nucl. Phys.73, 1 (1965)
Hauge, P.S., Maripuu, S.: Phys. Rev. C8, 1609 (1973)
Hees, A.G.M. van, Glaudemans, P.W.M.: Z. Phys. A — Atoms and Nuclei314, 323 (1983)
Hees, A.G.M. van, Glaudemans, P.W.M.: Z. Phys. A — Atoms and Nuclei315, 223 (1984)
Huffman, R.L., Hicks, R.S., Dubach, J., Parker, B., Plum, M.A., Lahm, G., Neuhausen, R., Bergstrom, J.C.: Phys. Lett.139B, 249 (1984)
Ensslin, N., Fagg, L.W., Lindgren, R.A., Bendel, W.L., Jones, E.G. Jr.: Phys. Rev. C19, 569 (1979)
Huffman, R.L., Dubach, J., Hicks, R.S., Plum, M.A.: Phys. Rev. C35, 1 (1987)
Kühner, G.: Diplomarbeit, Technische Hochschule Darmstadt (1977), (unpublished); the values obtained within this work are listed in Appendix E.
Sonntag, Ch., Rebel, H., Ribbat, B., Thio, S.K., Gramm, W.R.: Lett. Nuovo Ciment.I/4, 717 (1970)
Sidhu, G.S., Gerhart, J.B.: Phys. Rev.148, 1024 (1966)
Behrens, H., Bühring, W.: Electron radial wave functions and nuclear beta decay. Oxford: Clarendon Press 1982
Behrens, H., Bühring, W.: Nucl. Phys. A162, 111 (1971)
Sirlin, A.: Phys. Rev.164, 1767 (1967)
Sirlin, A.: Nucl. Phys. B71, 29 (1974); B100, 291 (1975)
Yokoo, Y., Morita, M.: Suppl. Progr. Theor. Phys.60, 37 (1976)
Behrens, H., Genz, H., Conze, M., Feldmeier, H., Stock, W., Richter, A.: Ann. Phys.115, 276 (1978)
The definition of the single particle matrix elements used in the present work differ from those of [28], because we have extracted here the factorc (L′)KLs
Ajzenberg-Selove, F.: Nucl. Phys. A449, 1 (1986); A523, 1 (1991)
Talmi, I.: Proc. of the International Symposium on Electromagnetic Properties of Atomic Nuclei, Tokyo, Japan; Tokyo Institute of Technology Report, p. 4 (1984)
Ormand, W.E., Brown, B.A.: Phys. Rev. Lett.62, 866 (1989)
Talmi, I.: Phys. Rev. C39, 284 (1989)
Amos, K., Koetsier, D., Kurath, D.: Phys. Rev. C40, 374 (1989)
Saha, S.K., Daehnick, W.W., Dytman, S.A., Li, P.C., Gittardie, J., Berg, G.P.A., Foster, C.C., Jones, W.P., Miller, D.W., Stephenson, E.J.: Phys. Rev. C40, 39 (1989)
Hees, A.G.M. van: Thesis, University of Utrecht (1982), (unpublished); Hess, A.G.M. van, Wolters, A.A., Glaudemans, P.W.M.: Nucl. Phys. A476, 61 (1988)
Wolters, A.A., Hees, A.G.M. van, Glaudemans, P.W.M.: Europhys. Lett.5, 7 (1988)
Röhrich, K., Tiator, L., Köbschall, G., Reifferscheid, Ch., Schmitt, Ch., Walther, V.H., Weinand, K., Wright, L.E.: Phys. Lett.153B, 203 (1985)
Cottman, B.H., Min, K., Stoler, P., Teng, P.K., Winhold, E.J., Yamazaki, M., Yergin, P.F., Bernstein, A.M., Blomquist, K.I., Distelbrink, J.H.J., Nelson, J.A., Rohrich, K., Schmitt, Ch., Tiator, L., Walther, V.H., Audit, G., Dytman, S.A., Wright, L.E.: Phys. Rev. Lett.55, 684 (1985)
Sur, B., Norman, E.B., Lesko, K.T., Hindi, M.M., Larimer, R.M., Luke, P.N., Hansen, W.L., Haller, E.E.: Phys. Rev. Lett.66, 2444 (1991)
Author information
Authors and Affiliations
Additional information
Dedicated to Prof. Dr. P. Kienle on the occasion of his 60th birthday. Supported by the German Federal Minister for Research and Technology (BMFT) under contract number 06DA 184I
Rights and permissions
About this article
Cite this article
Genz, H., Kühner, G., Richter, A. et al. Phenomenological wave functions for the massA=14 system and a consistent description of beta decay observables. Z. Physik A - Hadrons and Nuclei 341, 9–24 (1991). https://doi.org/10.1007/BF01281270
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01281270