Muon Capture in Helium-3

Earl A. Peterson

doi:10.1103/PhysRev.167.971

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Muon Capture in Helium-3

Earl A. Peterson^*

Institute of Theoretical Physics, Department of Physics, Stanford University, Stanford, California

^*Present address: School of Physics and Astronomy, University of Minnesota, Minneapolis, Minn.

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Phys. Rev. 167, 971 – Published 20 March, 1968

DOI: https://doi.org/10.1103/PhysRev.167.971

Abstract

The partial capture rate $μ^{-} + {He}^{3} \to H^{3} + ν$ is calculated, including terms through $O (\frac{1}{M^{2}})$ and a phenomenological treatment of the exchange effects. The wave function of the three-nucleon system is largely determined by recent analyses of the electromagnetic form factors. The exchange effects are found to be very important: If they are neglected, two sets of values of $F_{P}$ consistent with experiment are 0±3 and 35±3. Including the exchange effects, $6 \leq \frac{F_{P}}{F_{A}} \leq 33$ .

References (53)

F. T. Porter, Phys. Rev. 115, 450 (1959)
I. V. Falomkin, A. I. Filippov, M. M. Kulyukin, B. Pontecorvo, Yu. A. Shcerbakov, R. M. Sulyaev, V. M. Tsupkositnikov, and O. A. Zaimidoroga, Phys. Letters 3, 229 (1963)
L. B. Auerbach, R. J. Esterling, R. E. Hill, D. A. Jenkins, J. T. Lach, and N. H. Lipman, Phys. Rev. 138, B127 (1965)
D. R. Clay, J. W. Keuffel, and R. L. Wagner, Jr., Phys. Rev. 140, B587 (1965)
B. L. Berman, L. J. Koester, and J. H. Smith, Phys. Rev. 133, B117 (1964)
J. R. Stewart, R. C. Morrison, and J. S. O'Connell, Phys. Rev. 138, B372 (1965)
R. Bösch, J. Lang, R. Müller, and W. Wölfli, Phys. Letters 8, 120 (1964)
V. N. Fetisov, A. N. Gorbunov, and A. T. Varfolomeev, Nucl. Phys. 71, 305 (1965)
H. Collard, R. Hofstadter, E. B. Hughes, A. Johansson, M. R. Yearian, R. B. Day, and R. T. Wagner, Phys. Rev. 138, B57 (1965)
A. Johansson, Phys. Rev. 136, B1030 (1965)
J. M. Blatt, G. H. Derrick, and J. N. Lyness, Phys. Rev. Letters 8, 323 (1962)
J. M. Blatt and L. M. Delves, Phys. Rev. Letters 12, 544 (1964)
B. S. Bhakar and A. N. Mitra, Phys. Rev. Letters 14, 143 (1965)
B. S. Bhakar, Nucl. Phys. 46, 572 (1963)
V. K. Gupta, B. S. Bhakar, and A. N. Mitra, Phys. Rev. 153, 1114 (1967)
J. C. Gunn and J. Irving, Phil. Mag. 42, 1353 (1951)
U. Eichman, Z. Physik 175, 115 (1963)
V. N. Fetisov, Yadern. Fiz. 4, 720 (1966) [English transl.: Soviet J. Nucl. Phys. 4, 513 (1967)]
C. Rossetti, Nuovo Cimento 14, 1171 (1959)
J. M. Knight, J. S. O'Connell, and F. Prats, Phys. Letters 22, 322 (1966)
T. A. Griffy and R. J. Oakes, Phys. Rev. 135, B1161 (1964)
T. A. Griffy and R. J. Oakes, Rev. Mod. Phys. 37, 402 (1965)
B. F. Gibson and G. B. West, Nucl. Phys. B1, 349 (1967) F. C. Khanna, ibid. A97, 417 (1967)
L. I. Schiff, Phys. Rev. 133, B802 (1964)
B. F. Gibson and L. I. Schiff, Phys. Rev. 138, B26 (1965)
B. F. Gibson, Phys. Rev. 139, B1153 (1965)
W. Drechsler and B. Stech, Z. Physik 178, 1 (1964)
A. Fujii and Y. Yamaguchi, Progr. Theoret. Phys. (Kyoto) 31, 107 (1964)
C. W. Kim and H. Primakoff, Phys. Rev. 140, B566 (1965)
C. W. Kim and Michael Ram, Phys. Rev. Letters 18, 327 (1967)
R. J. Oakes, Phys. Rev. 136, B1848 (1964)
A. Fujii and H. Primakoff, Nuovo Cimento 12, 327 (1959)
A. Fujii, Phys. Rev. 118, 870 (1960) C. Werntz, Nucl. Phys. 16, 59 (1960) A. F. Yano, Phys. Rev. Letters 12, 110 (1964) R. Pascual and P. Pascual, Nuovo Cimento 44, 434 (1966)
M. Conversi, R. Diebold, and L. di Lella, Phys. Rev. 136, B1077 (1964)
Harold W. Fearing, Phys. Rev. 146, 723 (1966)
L. L. Foldy and J. D. Walecka, Nuovo Cimento 34, 1026 (1964) Phys. Rev. 140, B1339 (1965) ibid.147, 886 (E) (1966)
James L. Friar, Nucl. Phys. 87, 407 (1966)
H. P. C. Rood, Nuovo Cimento Suppl. 4, 185 (1966)
L. N. Hand, D. G. Miller, and R. Wilson, Rev. Mod. Phys. 35, 335 (1963)
R. G. Sachs, Nuclear Theory (Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1953), pp. 180-187
Omitted endnote
T. K. Radha and N. T. Meister, Phys. Rev. 136, B388 (1964)
Carl Werntz and H. S. Valk, Phys. Rev. Letters 14, 910 (1965)
Omitted endnote
R. J. Blin-Stoyle and S. Papageorgiou, Nucl. Phys. 64, 1 (1965)
J. S. Bell and R. J. Blin-Stoyle, Nucl. Phys. 6, 87 (1958)
R. J. Blin-Stoyle, V. Gupta, and H. Primakoff, Nucl. Phys. 11, 444 (1959)
R. G. Sachs, Phys. Rev. 72, 312 (1947)
Felix Villars, Helv. Phys. Acta 20, 476 (1947) [40], pp. 241-258 Marc Ross, Phys. Rev. 88, 935 (1952)
S. D. Drell and J. D. Walecka, Phys. Rev. 120, 1069 (1960) R. J. Adler and S. D. Drell, Phys. Rev. Letters 13, 349 (1964) E. M. Nyman, Nucl. Phys. B1, 535 (1967)
Omitted endnote
Omitted endnote
H. Collard, thesis, Stanford University, 1966 (unpublished)

[c1] F. T. Porter, Phys. Rev. 115, 450 (1959)

[c2] I. V. Falomkin, A. I. Filippov, M. M. Kulyukin, B. Pontecorvo, Yu. A. Shcerbakov, R. M. Sulyaev, V. M. Tsupkositnikov, and O. A. Zaimidoroga, Phys. Letters 3, 229 (1963)

[c3] L. B. Auerbach, R. J. Esterling, R. E. Hill, D. A. Jenkins, J. T. Lach, and N. H. Lipman, Phys. Rev. 138, B127 (1965)

[c4] D. R. Clay, J. W. Keuffel, and R. L. Wagner, Jr., Phys. Rev. 140, B587 (1965)

[c5] B. L. Berman, L. J. Koester, and J. H. Smith, Phys. Rev. 133, B117 (1964)

[c6] J. R. Stewart, R. C. Morrison, and J. S. O'Connell, Phys. Rev. 138, B372 (1965)

[c7] R. Bösch, J. Lang, R. Müller, and W. Wölfli, Phys. Letters 8, 120 (1964)

[c8] V. N. Fetisov, A. N. Gorbunov, and A. T. Varfolomeev, Nucl. Phys. 71, 305 (1965)

[c9] H. Collard, R. Hofstadter, E. B. Hughes, A. Johansson, M. R. Yearian, R. B. Day, and R. T. Wagner, Phys. Rev. 138, B57 (1965)

[c10] A. Johansson, Phys. Rev. 136, B1030 (1965)

[c11] J. M. Blatt, G. H. Derrick, and J. N. Lyness, Phys. Rev. Letters 8, 323 (1962)

[c12] J. M. Blatt and L. M. Delves, Phys. Rev. Letters 12, 544 (1964)

[c13] B. S. Bhakar and A. N. Mitra, Phys. Rev. Letters 14, 143 (1965)

[c14] B. S. Bhakar, Nucl. Phys. 46, 572 (1963)

[c15] V. K. Gupta, B. S. Bhakar, and A. N. Mitra, Phys. Rev. 153, 1114 (1967)

[c16] J. C. Gunn and J. Irving, Phil. Mag. 42, 1353 (1951)

[c17] U. Eichman, Z. Physik 175, 115 (1963)

[c18] V. N. Fetisov, Yadern. Fiz. 4, 720 (1966) [English transl.: Soviet J. Nucl. Phys. 4, 513 (1967)]

[c19] C. Rossetti, Nuovo Cimento 14, 1171 (1959)

[c20] J. M. Knight, J. S. O'Connell, and F. Prats, Phys. Letters 22, 322 (1966)

[c21] T. A. Griffy and R. J. Oakes, Phys. Rev. 135, B1161 (1964)

[c22] T. A. Griffy and R. J. Oakes, Rev. Mod. Phys. 37, 402 (1965)

[c23] B. F. Gibson and G. B. West, Nucl. Phys. B1, 349 (1967) F. C. Khanna, ibid. A97, 417 (1967)

[c24] L. I. Schiff, Phys. Rev. 133, B802 (1964)

[c25] B. F. Gibson and L. I. Schiff, Phys. Rev. 138, B26 (1965)

[c26] B. F. Gibson, Phys. Rev. 139, B1153 (1965)

[c27] W. Drechsler and B. Stech, Z. Physik 178, 1 (1964)

[c28] A. Fujii and Y. Yamaguchi, Progr. Theoret. Phys. (Kyoto) 31, 107 (1964)

[c29] C. W. Kim and H. Primakoff, Phys. Rev. 140, B566 (1965)

[c30] C. W. Kim and Michael Ram, Phys. Rev. Letters 18, 327 (1967)

[c31] R. J. Oakes, Phys. Rev. 136, B1848 (1964)

[c32] A. Fujii and H. Primakoff, Nuovo Cimento 12, 327 (1959)

[c33] A. Fujii, Phys. Rev. 118, 870 (1960) C. Werntz, Nucl. Phys. 16, 59 (1960) A. F. Yano, Phys. Rev. Letters 12, 110 (1964) R. Pascual and P. Pascual, Nuovo Cimento 44, 434 (1966)

[c34] M. Conversi, R. Diebold, and L. di Lella, Phys. Rev. 136, B1077 (1964)

[c35] Harold W. Fearing, Phys. Rev. 146, 723 (1966)

[c36] L. L. Foldy and J. D. Walecka, Nuovo Cimento 34, 1026 (1964) Phys. Rev. 140, B1339 (1965) ibid.147, 886 (E) (1966)

[c37] James L. Friar, Nucl. Phys. 87, 407 (1966)

[c38] H. P. C. Rood, Nuovo Cimento Suppl. 4, 185 (1966)

[c39] L. N. Hand, D. G. Miller, and R. Wilson, Rev. Mod. Phys. 35, 335 (1963)

[c40] R. G. Sachs, Nuclear Theory (Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1953), pp. 180-187

[c41] Omitted endnote

[c42] T. K. Radha and N. T. Meister, Phys. Rev. 136, B388 (1964)

[c43] Carl Werntz and H. S. Valk, Phys. Rev. Letters 14, 910 (1965)

[c44] Omitted endnote

[c45] R. J. Blin-Stoyle and S. Papageorgiou, Nucl. Phys. 64, 1 (1965)

[c46] J. S. Bell and R. J. Blin-Stoyle, Nucl. Phys. 6, 87 (1958)

[c47] R. J. Blin-Stoyle, V. Gupta, and H. Primakoff, Nucl. Phys. 11, 444 (1959)

[c48] R. G. Sachs, Phys. Rev. 72, 312 (1947)

[c49] Felix Villars, Helv. Phys. Acta 20, 476 (1947) [40], pp. 241-258 Marc Ross, Phys. Rev. 88, 935 (1952)

[c50] S. D. Drell and J. D. Walecka, Phys. Rev. 120, 1069 (1960) R. J. Adler and S. D. Drell, Phys. Rev. Letters 13, 349 (1964) E. M. Nyman, Nucl. Phys. B1, 535 (1967)

[c51] Omitted endnote

[c52] Omitted endnote

[c53] H. Collard, thesis, Stanford University, 1966 (unpublished)

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