Microscopic quasiparticle-phonon description of odd-mass <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow></mrow><mrow><mn>127</mn><mi mathvariant="normal">−</mi><mn>133</mn></mrow></msup></mrow><mi mathvariant="normal">Xe</mi></math></span> isotopes and their β decay

J. Toivanen; J. Suhonen

doi:10.1103/PhysRevC.57.1237

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Microscopic quasiparticle-phonon description of odd-mass $^{127 - 133} Xe$ isotopes and their β decay

J. Toivanen^* and J. Suhonen^†

Department of Physics, University of Jyväskylä, POB 35, SF-40351 Jyväskylä, Finland

^*Electronic address: toivanen@jyfl.jyu.fi
^†Electronic address: suhonen@jyfl.jyu.fi

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Phys. Rev. C 57, 1237 – Published 1 March, 1998

DOI: https://doi.org/10.1103/PhysRevC.57.1237

Abstract

Quasiparticle-phonon equations of motion are solved starting from a microscopic realistic many-body Hamiltonian. In this microscopic quasiparticle-phonon model (MQPM) the relevant part of the three-quasiparticle Hilbert space may possibly be taken into account even in calculations using large single-particle bases. As an example, the MQPM is applied to the calculation of energy levels and Fermi and Gamow-Teller beta-decay transition amplitudes for transitions between odd-mass $^{127 - 133} Xe$ , $^{127 - 133} I$ , and $^{127 - 133} Cs$ isotopes. Considering the fully microscopic nature of the MQPM, comparison of its results and data indicates a rather satisfactory agreement between theory and experiment.

References (13)

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[c1] J. A. Halbleib and R. A. Sorensen, Nucl. Phys. A98, 542 (1967).

[c2] L. S. Kisslinger and R. A. Sorensen, Rev. Mod. Phys. 35, 853 (1963).

[c3] A. Kuriyama, T. Marumori, and K. Matsuyanagi, Prog. Theor. Phys. 47, 498 (1972).

[c4] A. Kuriyama, T. Marumori, K. Matsuyanagi, and R. Okamoto, Prog. Theor. Phys. 53, 489 (1975).

[c5] M. Baranger, Phys. Rev. 120, 957 (1960).

[c6] J. Suhonen, T. Taigel, and A. Faessler, Nucl. Phys. A486, 91 (1988).

[c7] J. Toivanen and J. Suhonen, J. Phys. G 21, 1491 (1995).

[c8] D. J. Rowe, Rev. Mod. Phys. 40, 153 (1968).

[c9] K. Holinde, Phys. Rep. 68, 121 (1981).

[c10] P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, New York, 1980).

[c11] A. Bohr and B. R. Mottelson, Nuclear Structure, Vol. I (Benjamin, New York, 1969).

[c12] J. Suhonen, Nucl. Phys. A563, 205 (1993).

[c13] P. F. Mantica et al., Phys. Rev. C 42, 902 (1990).

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Microscopic quasiparticle-phonon description of odd-mass $^{127 - 133} Xe$ isotopes and their β decay

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References (13)

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Microscopic quasiparticle-phonon description of odd-mass 127−133Xe isotopes and their β decay

Abstract

References (13)

Microscopic quasiparticle-phonon description of odd-mass $^{127 - 133} Xe$ isotopes and their β decay