Radiative capture of stopped kaons: <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>K</mi></mrow><mrow><mi mathvariant="normal">−</mi></mrow></msup></mrow></math>p→Λγ and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>K</mi></mrow><mrow><mi mathvariant="normal">−</mi></mrow></msup></mrow></math>p→<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi>Σ</mi></mrow><mrow><mn>0</mn></mrow></msup></mrow></math>γ

R. L. Workman; Harold W. Fearing

doi:10.1103/PhysRevD.37.3117

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Radiative capture of stopped kaons: $K^{-}$ p→Λγ and $K^{-}$ p→ $Σ^{0}$ γ

R. L. Workman and Harold W. Fearing

TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, Canada V6T 2A3

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Phys. Rev. D 37, 3117 – Published 1 June, 1988

DOI: https://doi.org/10.1103/PhysRevD.37.3117

Abstract

The radiative-capture reactions $K^{-}$ p→Λγ and $K^{-}$ p→ $Σ^{0}$ γ are investigated within a pole-model calculation. Both pseudoscalar and pseudovector coupling schemes are used and both give branching ratios comparable to current experimental bounds. The sensitivity to the Λ(1405) is investigated and improved constraints are determined for its contribution. Our methods and results are compared with those of other recent calculations of these reactions.

References (36)

BNL experiment No. 811, B. L. Roberts, spokesman.
Y. S. Zhong, A. W. Thomas, B. K. Jennings and R. C. Barrett, Phys. Lett. B 171, 471 (1986).
J. W. Darewych, R. Koniuk and N. Isgur, Phys. Rev. D 32, 1765 (1985).
H. Burkhardt, J. Lowe and A. S. Rosenthal, Nucl. Phys. A440, 653 (1985).
M. Leon and H. Bethe, Phys. Rev. 127, 636 (1962); H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Plenum, New York, 1977).
W. A. Bardeen and E. W. Torigoe, Phys. Rev. C 3, 1785 (1971).
J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).
For a clear exposition, see E. Dressler, NBS Technical Report No. 957, 1977 (unpublished).
P. C. Peterson et al., Phys. Rev. Lett. 57, 949 (1986).
See, for example, the derivation in P. Carruthers, Unitary Symmetry (Wiley, New York, 1966).
A. D. Martin, Nucl. Phys. B179, 33 (1981).
J. Antolin, Phys. Rev. D 35, 122 (1987).
Particle Data Group, M. Aguilar-Benitez et al., Phys. Lett. 170B, 1 (1986).
J. J. de Swart, Rev. Mod. Phys. 35, 916 (1963).
O. Dumbrajs et al., Nucl. Phys. B216, 277 (1983).
M. M. Nagels, T. A. Rijken, and J. J. de Swart, Phys. Rev. D 15, 2547 (1977).
J. W. Darewych, M. Horbatsch and R. Koniuk, Phys. Rev. D 28, 1125 (1983); R. Koniuk and N. Isgur, ibid. 21, 1868 (1980).
R. A. Adelseck, C. Bennhold and L. E. Wright, Phys. Rev. C 32, 1681 (1985).
J. Lowe et al., Nucl. Phys. B209, 16 (1982).
J. D. Davies et al., Nucl. Phys. B160, 492 (1979).
F. M. Renard and Y. Renard, Nuovo Cimento 55A, 631 (1968).
J. Lowe (private communication).
I. Blomqvist and J. M. Laget, Nucl. Phys. A280, 405 (1977).
See, e.g., M. Salomon, D. F. Measday, J. M. Poutissou and B. C. Robertson, Nucl. Phys. A414, 493 (1984); A. Bagheri, Ph.D. thesis, University of British Columbia, 1986; D. S. Beder (unpublished).
D. O. Riska and G. E. Brown, Phys. Lett. 38B, 193 (1972).
H. Arenhövel, Nucl. Phys. A374, 521 (1982); P. U. Sauer, Prog. Part. Nucl. Phys. 16, 35 (1986).
R. J. McLeod and D. J. Ernst, Phys. Rev. C 23, 1660 (1981).
Th. Hippchen and K. Holinde, Jülich report, 1987 (unpublished).
A. Buchmann, W. Leidemann and H. Arenhövel, Nucl. Phys. A443, 726 (1985); D. O. Riska, Phys. Scr. 32, 581 (1985); ibid. 31, 471 (1985); ibid. 31, 107 (1985).
J. M. Lina and B. Goulard, Phys. Rev. C 34, 714 (1986).
R. Machleidt, K. Holinde and Ch. Elster, Phys. Rep. 149, 1 (1987).
D. Drechsel and L. Tiator, Phys. Lett. 148B, 413 (1984).
R. L. Workman and B. K. Jennings (unpublished).
R. L. Workman and H. W. Fearing (unpublished).
Note added in proof. In a recent report (unpublished), the authors of Ref. 2 have corrected these and another sqrt 3 error and now obtain quite different results for $K^{-}$ p -> $Σ^{0}$ gamma.
S. Scherer, D. Drechsel and L. Tiator, Phys. Lett. B 193, 1 (1987).

[c1] BNL experiment No. 811, B. L. Roberts, spokesman.

[c2] Y. S. Zhong, A. W. Thomas, B. K. Jennings and R. C. Barrett, Phys. Lett. B 171, 471 (1986).

[c3] J. W. Darewych, R. Koniuk and N. Isgur, Phys. Rev. D 32, 1765 (1985).

[c4] H. Burkhardt, J. Lowe and A. S. Rosenthal, Nucl. Phys. A440, 653 (1985).

[c5] M. Leon and H. Bethe, Phys. Rev. 127, 636 (1962); H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One- and Two-Electron Atoms (Plenum, New York, 1977).

[c6] W. A. Bardeen and E. W. Torigoe, Phys. Rev. C 3, 1785 (1971).

[c7] J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964).

[c8] For a clear exposition, see E. Dressler, NBS Technical Report No. 957, 1977 (unpublished).

[c9] P. C. Peterson et al., Phys. Rev. Lett. 57, 949 (1986).

[c10] See, for example, the derivation in P. Carruthers, Unitary Symmetry (Wiley, New York, 1966).

[c11] A. D. Martin, Nucl. Phys. B179, 33 (1981).

[c12] J. Antolin, Phys. Rev. D 35, 122 (1987).

[c13] Particle Data Group, M. Aguilar-Benitez et al., Phys. Lett. 170B, 1 (1986).

[c14] J. J. de Swart, Rev. Mod. Phys. 35, 916 (1963).

[c15] O. Dumbrajs et al., Nucl. Phys. B216, 277 (1983).

[c16] M. M. Nagels, T. A. Rijken, and J. J. de Swart, Phys. Rev. D 15, 2547 (1977).

[c17] J. W. Darewych, M. Horbatsch and R. Koniuk, Phys. Rev. D 28, 1125 (1983); R. Koniuk and N. Isgur, ibid. 21, 1868 (1980).

[c18] R. A. Adelseck, C. Bennhold and L. E. Wright, Phys. Rev. C 32, 1681 (1985).

[c19] J. Lowe et al., Nucl. Phys. B209, 16 (1982).

[c20] J. D. Davies et al., Nucl. Phys. B160, 492 (1979).

[c21] F. M. Renard and Y. Renard, Nuovo Cimento 55A, 631 (1968).

[c22] J. Lowe (private communication).

[c23] I. Blomqvist and J. M. Laget, Nucl. Phys. A280, 405 (1977).

[c24] See, e.g., M. Salomon, D. F. Measday, J. M. Poutissou and B. C. Robertson, Nucl. Phys. A414, 493 (1984); A. Bagheri, Ph.D. thesis, University of British Columbia, 1986; D. S. Beder (unpublished).

[c25] D. O. Riska and G. E. Brown, Phys. Lett. 38B, 193 (1972).

[c26] H. Arenhövel, Nucl. Phys. A374, 521 (1982); P. U. Sauer, Prog. Part. Nucl. Phys. 16, 35 (1986).

[c27] R. J. McLeod and D. J. Ernst, Phys. Rev. C 23, 1660 (1981).

[c28] Th. Hippchen and K. Holinde, Jülich report, 1987 (unpublished).

[c29] A. Buchmann, W. Leidemann and H. Arenhövel, Nucl. Phys. A443, 726 (1985); D. O. Riska, Phys. Scr. 32, 581 (1985); ibid. 31, 471 (1985); ibid. 31, 107 (1985).

[c30] J. M. Lina and B. Goulard, Phys. Rev. C 34, 714 (1986).

[c31] R. Machleidt, K. Holinde and Ch. Elster, Phys. Rep. 149, 1 (1987).

[c32] D. Drechsel and L. Tiator, Phys. Lett. 148B, 413 (1984).

[c33] R. L. Workman and B. K. Jennings (unpublished).

[c34] R. L. Workman and H. W. Fearing (unpublished).

[c35] Note added in proof. In a recent report (unpublished), the authors of Ref. 2 have corrected these and another sqrt 3 error and now obtain quite different results for $K^{-}$ p -> $Σ^{0}$ gamma.

[c36] S. Scherer, D. Drechsel and L. Tiator, Phys. Lett. B 193, 1 (1987).

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Radiative capture of stopped kaons: $K^{-}$ p→Λγ and $K^{-}$ p→ $Σ^{0}$ γ

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Radiative capture of stopped kaons: K−p→Λγ and K−p→Σ0γ

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References (36)

Radiative capture of stopped kaons: $K^{-}$ p→Λγ and $K^{-}$ p→ $Σ^{0}$ γ