Binding Energy of the Deuteron

M. G. Hare; G. Papini

doi:10.1103/PhysRevD.4.684

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Binding Energy of the Deuteron

M. G. Hare^* and G. Papini

Department of Physics, University of Saskatchewan, Regina Campus, Regina, Saskatchewan, Canada

^*Submitted in partial fulfillment of the requirements of a Ph.D degree, Dept. of Physics, University of Saskatchewan, Regina Campus.

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Phys. Rev. D 4, 684 – Published 1 August, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.684

Abstract

The binding energy of the deuteron is written in terms of once-subtracted, sidewise dispersion relations for the mass-energy form factors of the neutron, proton, and deuteron. The threshold region is assumed to dominate, and accordingly a cutoff is introduced into the dispersion integrals. This cutoff is, however, related to the proton-neutron mass difference $δ M$ , so that no free parameter exists in the work. The binding energy $B$ is reproduced for a cutoff value corresponding to $δ M \sim 1.7$ MeV, this being the $δ M$ calculated by Pagels. Both electromagnetic effects and the deuteron breakup into an $S$ -wave, triplet-state nucleon pair are considered for contributions to $B$ . No realistic estimate has been made of the effect on the result of $π$ mesons in the intermediate-state expansion. The two-nucleon-state contribution dominates the results, accounting for approximately 90% of $B$ at the experimental value of 2.2 MeV.

References (16)

H. Pagels, Phys. Rev. 144, 1261 (1966)
M. A. Preston, Physics of the Nucleus (Addison-Wesley, Reading, Mass., 1962), p. 24
R. Blankenbecler and L. F. Cook, Jr., Phys. Rev. 119, 1745 (1960)
R. D. Amado, Phys. Rev. 132, 485 (1963)
S. Weinberg, Phys. Rev. 133, B1318 (1964) ibid.134, B882 (1964)
H. Pagels, Phys. Rev. 144, 1250 (1966)
Omitted endnote
S. Weinberg, Phys. Rev. 140, B516 (1965)
A. M. Bincer, Phys. Rev. 118, 855 (1960)
[1]
S. S. Schweber, An Introduction to Relativistic Quantum Field Theory (Harper & Row, New York, 1962)
R. Oehme, Phys. Rev. 100, 1503 (1955)
M. Gourdin, M. Le Bellac, F. M. Renard, and J. Tran Thanh Van, Nuovo Cimento 37, 524 (1965)
J. Mathews and B. Deo, Phys. Rev. 143, 1340 (1966)
Ian Duck, Nucl. Phys. B1, 96 (1967)
S. Drell and H. Pagels, Phys. Rev. 140, B397 (1965) R. G. Parson, ibid. 168, 1562 (1968)

[c1] H. Pagels, Phys. Rev. 144, 1261 (1966)

[c2] M. A. Preston, Physics of the Nucleus (Addison-Wesley, Reading, Mass., 1962), p. 24

[c3] R. Blankenbecler and L. F. Cook, Jr., Phys. Rev. 119, 1745 (1960)

[c4] R. D. Amado, Phys. Rev. 132, 485 (1963)

[c5] S. Weinberg, Phys. Rev. 133, B1318 (1964) ibid.134, B882 (1964)

[c6] H. Pagels, Phys. Rev. 144, 1250 (1966)

[c7] Omitted endnote

[c8] S. Weinberg, Phys. Rev. 140, B516 (1965)

[c9] A. M. Bincer, Phys. Rev. 118, 855 (1960)

[c10] [1]

[c11] S. S. Schweber, An Introduction to Relativistic Quantum Field Theory (Harper & Row, New York, 1962)

[c12] R. Oehme, Phys. Rev. 100, 1503 (1955)

[c13] M. Gourdin, M. Le Bellac, F. M. Renard, and J. Tran Thanh Van, Nuovo Cimento 37, 524 (1965)

[c14] J. Mathews and B. Deo, Phys. Rev. 143, 1340 (1966)

[c15] Ian Duck, Nucl. Phys. B1, 96 (1967)

[c16] S. Drell and H. Pagels, Phys. Rev. 140, B397 (1965) R. G. Parson, ibid. 168, 1562 (1968)

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Binding Energy of the Deuteron

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