Light front treatment of nuclei: Formalism and simple applications

Physical Review C - Nuclear Physics

Volumn 56, Issue 5, 1997, Pages 2789-2805

  Miller, Gerald A ^a,b  

^a SLAC NATIONAL ACCELERATOR LABORATORY   (United States)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031482687     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.56.2789     Document Type: Article

References (91)

1. P. A. M. Dirac, Rev. Mod. Phys. 21, 392 (1949)
2. S. J. Brodsky, G. McCartor, H. C. Pauli, and S. S. Pinsky, Part. World 3, 109 (1993)
3. S. J. Brodsky, H.-C. Pauli, and S. S. Pinsky, SLAC Report No.PUB-7474, hep-ph/9705477
4. M. Burkhardt, Adv. Nucl. Phys. 23, 1 (1993)
5. J. M. Namyslowski, in Progress in Particle and Nuclear Physics, edited by A. Faessler (Pergamon, New York, 1985)
6. S. J. Brodsky and G. P. Lepage, in Perturbative Quantum Chromodynamics, edited by A. Mueller (World Scientific, Singapore, 1989)
7. X. D. Ji, Comments, Nucl. Part. Phys. 21, 123 (1992)
8. W.-M. Zhang, Chin. J. Phys. 32, 717 (1994)
9. Theory of Hadrons and Light-Front QCD, edited by S. D. Glazek (World Scientific, Singapore, 1994).
10. A. Harindranth, hep-ph/9612244.
11. Our notation is that a four-vector (Formula presented) is defined by the plus, minus, and perpendicular components as (Formula presented) and (Formula presented) See the Appendix for more on this.
12. H. Cheng and T. Wu, Expanding Protons: Scattering at High Energies (MIT Press, Cambridge, MA, 1987).
13. F. Coester, Helv. Phys. Acta 38, 7 (1965); HPACAKin Constraint’s Theory and Relativistic Dynamics, edited by G. Longhi and L. Lusanna (World Scientific, Singapore, 1987), p. 159
14. in The Three Body Force in the Three-Nucleon System, edited by B. L. Berman and B. F. Gibson (Springer, New York, 1986).
15. B. D. Keister and W. N. Polyzou, in Advances in Nuclear Physics, edited by J. W. Negele and E. Vogt (Plenum, New York, 1991), Vol. 20, p. 1.
16. V. A. Karmanov and A. V. Smirnov, Nucl. Phys. A575, 691 (1994)
17. B. Desplanques, V. A. Karmanov, and J. F. Mathiot, A589, 697 (1995).
18. M. G. Fuda and Y. Zhang, Phys. Rev. C 51, 23 (1995)
19. 54, 495 (1996).
20. L. L. Frankfurt and M. I. Strikman, Phys. Rep. 76, 215 (1981)
21. L. L. Frankfurt and M. I. Strikman, Phys. Rep. 160, 235 (1988)
22. D. E. Soper, SLAC Report No. pub-137, 1971 (unpublished)
23. Phys. Rev. D 4, 1620 (1971)
24. J. B. Kogut and D. E. Soper, 1, 2901 (1971).
25. S.-J. Chang, R. G. Root, and T.-M. Yan, Phys. Rev. D 7, 1133 (1973)
26. 7, 1147 (1973).
27. T.-M. Yan, Phys. Rev. D 7, 1760 (1974)
28. 7, 1780 (1974).
29. St. Glazek and C. M. Shakin, Phys. Rev. C 44, 1012 (1991)
30. G. A. Miller, Phys. Rev. C 56, R8 (1997), nucl-th/9702036
31. The use of scalar mesons is meant as a simple representation of part of the two-pion exchange potential which causes much of the medium-range attraction between nucleons, as well as the effects of a possible fundamental scalar meson.
32. F. Gursey, Nuovo Cimento 16, 230 (1960)
33. F. Gursey, Ann. Phys. (N.Y.) 12, 91 (1961); APNYA6
34. P. Chang and F. Gursey, Phys. Rev. 164, 1752 (1967)
35. S. Weinberg, Phys. Rev. 166, 1568 (1968)
36. S. Théberge, A. W. Thomas, and G. A. Miller, Phys. Rev. D 22, 2838 (1980)
37. 23, 2106(E) (1981)
38. A. W. Thomas, S. Théberge, and G. A. Miller, 24, 216 (1981)
39. A. W. Thomas, Adv. Nucl. Phys. 13, 1 (1984)
40. G. A. Miller, Int. Rev. Nucl. Phys. 2, 190 (1984)
41. B. D. Serot and J. D. Walecka, Adv. Nucl. Phys. 16, 1 (1986). ANUPBZ
42. R. J. Furnstahl, B. D. Serot, and H.-B. Tang, nucl-th/9608035
43. B. D. Serot and J. D. Walecka, Nucl. Phys. A615, 441 (1997)
44. B. D. Serot and J. D. Walecka, Indiana University Report No. IU-NTC-96-17, nucl-th/9701058, 1997.
45. The determination of the inverse of the operator (Formula presented) is discussed in the original literature 12 and in other places. The equations in the Appendix are sufficient for our calculations. For a more recent discussion see A. Harindrinath and W.-M. Zhang, Phys. Rev. D 48, 4861 (1993)
46. 48, 4881 (1993)
47. 48, 4903 (1993).
48. D. Mustaki, hep-ph/9404206.
49. K. G. Wilson, T. S. Walhout, A. Harindranath, W. M. Zhang, R. J. Perry, and St. D. Glazek, Phys. Rev. D 49, 6720 (1994)
50. The most general nonlinear realization does not specify the ratio of the two pion–nucleon couplings.
51. B. H. Brandsden and R. G. Moorhouse, The Pion-Nucleon System (Princeton University Press, Princeton, 1973)
52. S. L. Adler and R. F. Dashen, Current Algebras (Benjamin, New York, 1968).
53. R. Machleidt, K. Holinde, and Ch. Elster, Phys. Rep. 149, 1 (1987)
54. R. Machleidt, Adv. Nucl. Phys. 19, 189 (1989)
55. R. Brockman and R. Machleidt, in Open Problems in Nuclear Matter, edited by M. Baldo (World Scientific, Singapore, 1997), Chap. 3. nucl-th/9612004.
56. G. E. Brown and A. D. Jackson, The Nucleon-Nucleon Interaction (North-Holland, Amsterdam, 1976)
57. T. Ericson and W. Weise, Pions and Nuclei (Oxford Science, New York, 1987).
58. S. Weinberg, Phys. Rev. 150, 1313 (1966)
59. R. Blankenbecler and R. Sugar, Phys. Rev. 142, 1051 (1966)
60. M. V. Terent’ev, Sov. J. Nucl. Phys. 24, 106 (1976)
61. M.-H. Partovi and E. L. Lomon, Phys. Rev. D 2, 1999 (1970)
62. G. Hoehler and H. Pietarinen, Nucl. Phys. B95, 210 (1975)
63. G. E. Brown and R. Machleidt, Phys. Rev. C 50, 1731 (1994)
64. C. Ordonez, L. Ray, and U. van Kolck, Phys. Rev. C 53, 2086 (1996)
65. C. Ordonez, L. Ray, and U. van Kolck, Phys. Rev. Lett. 72, 1982 (1994)
66. C. Ordonez and U. van Kolck, Phys. Lett. B B291, 459 (1992)
67. The symbol for the nucleon field operator and the mode functions of that field is taken to be the same (Formula presented) to reduce the amount of notation.
68. E. A. Bartnik and St. Glazek, Phys. Rev. D 39, 1249 (1989)
69. M. Brisudová and R. Perry, Phys. Rev. D 54, 6453 (1996)
70. Minimal substitution would require that the plus component of the vector field would enter into the equation (5.6) for (Formula presented), but we are using a formalism for which that component vanishes.
71. B. D. Serot and R. J. Furnstahl, Phys. Rev. C 43, 105 (1991)
72. Minimizing (Formula presented) with respect to (Formula presented) (for fixed (Formula presented) is the same as minimizing (Formula presented) with respect to (Formula presented) (for fixed (Formula presented) because the volume (Formula presented) is held fixed.
73. S. A. Chin and J. D. Walecka, Phys. Lett. 52B, 24 (1974)
74. J. Aubert, Phys. Lett. 123B, 275 (1982)
75. R. G. Arnold, Phys. Rev. Lett. 52, 727 (1984)
76. A. Bodek, 51, 534 (1983).
77. See, e.g. the reviews R. L. Jaffe, in Relativistic Dynamics and Quark-Nuclear Physics, edited by M. B. Johnson and A. Picklesimer (Wiley, New York, 1986)
78. M. Arneodo, Phys. Rep. 240, 301 (1994)
79. D. F. Geesaman, K. Saito, and A. W. Thomas, Annu. Rev. Nucl. Part. Sci. 45, 337 (1995)
80. Equation (5.35) is essentially Eq. (5.2) of Frankfurt and Strikman 11 with a correspondence between our (Formula presented) and their (Formula presented).
81. K. Saito and A. W. Thomas, Nucl. Phys. A574, 659 (1994)
82. M. C. Birse, Phys. Lett. B 299, 186 (1930)
83. M. Ericson and A. W. Thomas, Phys. Lett. 128B, 112 (1983)
84. R. P. Bickerstaff, M. C. Birse, and G. A. Miller, Phys. Rev. Lett. 53, 2532 (1984)
85. M. Ericson and A. W. Thomas, Phys. Lett. 148B, 191 (1984)
86. E. L. Berger, Nucl. Phys. B267, 231 (1986)
87. D. M. Alde, Phys. Rev. Lett. 64, 2479 (1990)
88. G. F. Bertsch, L. Frankfurt, and M. Strikman, Science 259, 773 (1993)
89. The standard nuclear shell model is one model of finite nuclei in which the mean field is dominant. The quark meson coupling model [see, e.g., P. A. M. Guichon, K. Saito, E. Rodionov, and A. W. Thomas, Nucl. Phys. A601, 349 (1996)
90. P. G. Blunden and G. A. Miller, Phys. Rev. C 54, 359 (1996)] is another
91. J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields (McGraw-Hill, New York, 1965).