Shell-Model Structure of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi></math></span>-Shell Hypernuclei

T. Y. Lee; S. T. Hsieh; C. T. Chen-Tsai

doi:10.1103/PhysRevC.2.366

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Shell-Model Structure of the $p$ -Shell Hypernuclei

T. Y. Lee, S. T. Hsieh, and C. T. Chen-Tsai

Institute of Physics, Tsing Hua University, Hsinchu, Taiwan, China

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Phys. Rev. C 2, 366 – Published 1 August, 1970

DOI: https://doi.org/10.1103/PhysRevC.2.366

Abstract

A systematic study of the effective two-body $Λ - N$ interaction is made in an exact manner from the binding-energy data of the $p$ -shell hypernuclei within the framework of the intermediate-coupling shell model. The binding energy is expressed in terms of the five independent potential integrals of the two-body $Λ - N$ interaction, and the latter are determined by a least-squares fit to the experimental data. The energy levels and the $γ$ transitions are calculated, and the structures of the $p$ -shell hypernuclei are discussed. The potential integrals are then analyzed in terms of phenomenological potentials. A large contribution to the binding energy by noncentral forces, especially the tensor forces, is found. The effect of the existence of a three-body $Λ NN$ force is also discussed.

References (14)

R. H. Dalitz and B. W. Downs, Phys. Rev. 111, 967 (1958) R. D. Lawson and M. Rotenberg, Nuovo Cimento 17, 449 (1960) S. Iwao, ibid. 17, 491 (1960) S. IwaoNuclear Interaction of the Hyperons (Oxford University Press, London, 1965) R. H. Dalitz, in Selected Topics in Particle Physics, International School of Physics "Enrico Fermi" Course XLI, edited by J. Steinberger (Academic Press Inc., New York, 1967)
A. R. Bodmer and J. W. Murphy, Nucl. Phys. 64, 593 (1965)
A. Gal, Phys. Rev. Letters 18, 568 (1967)
S. Cohen and D. Kurath, Nucl. Phys. 73, 1 (1965)
H. A. Jahn and H. Van Wieringen, Proc. Roy. Soc. (London) A209, 592 (1951)
A. de-Shalit and I. Talmi, Nuclear Shell Theory (Academic Press Inc., New York, 1963)
G. Bohm, J. Klabuhn, U. Krecker, F. Wysotski, G. Coremans, W. Gajewski, C. Mayeur, J. Sacton, P. Vilain, G. Wilquet, D. O'Sullivan, D. Stanley, D. H. Davis, E. R. Flitcher, S. P. Lovell, N. C. Roy, T. H. Wickens, A. Filepkowski, K. Garbowski-Pniewska, T. Pniewski, E. Skrzypczak, A. Fishwick, and P. V. March, Nucl. Phys. B4, 511 (1968) M. W. Holland, H. G. Miller, and J. P. Roolsvig, Phys. Rev. 161, 911 (1967) J. Cuevas, J. Diaz, D. M. Harmsen, W. Just, E. Lohrmann, L. Schink, H. Spitzer, and M. W. Teucher, Nucl. Phys. B1, 411 (1967) S. Mora, Phys. Letters 20, 89 (1966)
R. H. Dalitz, Nucl. Phys. 41, 78 (1963)
([4])
M. A. B. Beg and A. Pais, Phys. Rev. 137, B1514 (1965)
G. Charriere et al., Nuovo Cimento 46, 205 (1966)
A. R. Bodmer and J. W. Murphy, Nucl. Phys. 73, 664 (1965) ibid. 83, 673 (1966)
T. A. Brody and M. Moshinsky, Tables of Transformation Brackets for Nuclear Shell-Model Calculations (Dirección General de Publicaciones, Universidad Nacional de México, Ciudad Universitaria, Mexico, D. F., 1960)
A. Gal, in Proceedings of the International Conference on Hypernuclear Physics, Argonne National Laboratory, 1969, edited by A. R. Bodmer and L. G. Hyman (Argonne National Laboratory, Argonne, Illinois, 1969)

[c1] R. H. Dalitz and B. W. Downs, Phys. Rev. 111, 967 (1958) R. D. Lawson and M. Rotenberg, Nuovo Cimento 17, 449 (1960) S. Iwao, ibid. 17, 491 (1960) S. IwaoNuclear Interaction of the Hyperons (Oxford University Press, London, 1965) R. H. Dalitz, in Selected Topics in Particle Physics, International School of Physics "Enrico Fermi" Course XLI, edited by J. Steinberger (Academic Press Inc., New York, 1967)

[c2] A. R. Bodmer and J. W. Murphy, Nucl. Phys. 64, 593 (1965)

[c3] A. Gal, Phys. Rev. Letters 18, 568 (1967)

[c4] S. Cohen and D. Kurath, Nucl. Phys. 73, 1 (1965)

[c5] H. A. Jahn and H. Van Wieringen, Proc. Roy. Soc. (London) A209, 592 (1951)

[c6] A. de-Shalit and I. Talmi, Nuclear Shell Theory (Academic Press Inc., New York, 1963)

[c7] G. Bohm, J. Klabuhn, U. Krecker, F. Wysotski, G. Coremans, W. Gajewski, C. Mayeur, J. Sacton, P. Vilain, G. Wilquet, D. O'Sullivan, D. Stanley, D. H. Davis, E. R. Flitcher, S. P. Lovell, N. C. Roy, T. H. Wickens, A. Filepkowski, K. Garbowski-Pniewska, T. Pniewski, E. Skrzypczak, A. Fishwick, and P. V. March, Nucl. Phys. B4, 511 (1968) M. W. Holland, H. G. Miller, and J. P. Roolsvig, Phys. Rev. 161, 911 (1967) J. Cuevas, J. Diaz, D. M. Harmsen, W. Just, E. Lohrmann, L. Schink, H. Spitzer, and M. W. Teucher, Nucl. Phys. B1, 411 (1967) S. Mora, Phys. Letters 20, 89 (1966)

[c8] R. H. Dalitz, Nucl. Phys. 41, 78 (1963)

[c9] ([4])

[c10] M. A. B. Beg and A. Pais, Phys. Rev. 137, B1514 (1965)

[c11] G. Charriere et al., Nuovo Cimento 46, 205 (1966)

[c12] A. R. Bodmer and J. W. Murphy, Nucl. Phys. 73, 664 (1965) ibid. 83, 673 (1966)

[c13] T. A. Brody and M. Moshinsky, Tables of Transformation Brackets for Nuclear Shell-Model Calculations (Dirección General de Publicaciones, Universidad Nacional de México, Ciudad Universitaria, Mexico, D. F., 1960)

[c14] A. Gal, in Proceedings of the International Conference on Hypernuclear Physics, Argonne National Laboratory, 1969, edited by A. R. Bodmer and L. G. Hyman (Argonne National Laboratory, Argonne, Illinois, 1969)

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Shell-Model Structure of the $p$ -Shell Hypernuclei

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Shell-Model Structure of the p-Shell Hypernuclei

Abstract

References (14)

Shell-Model Structure of the $p$ -Shell Hypernuclei