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Dependence of self-energy components and cross sections of nucleons in-medium on the relative momentum of nucleons in nuclear matter from different projections choices of invariant amplitudes is studied within the framework of Dirac-Brueckner-Hartree-Fock model. Special attention is paid to the discrepancy between the self-energies and cross sections for different choices in various separate chances. Our results indicate that the self-energy of nucleons in the states with spin S = 1 and isospin triplets T = 1 is larger than those with S = 0 and T = 0 at a specified relative momentum. The dependence of the self-energies of nucleons in various reaction channels on the pseudo-scalar (PS) choice are more pronounced than that on the complete pseudo vector (CPV) choice, which is mainly due to the states with smaller total momentum quantum numbers J. Results of the in-medium differential cross sections show that the difference between d/d for the neutron-proton and neutron-neutron (or proton-proton) in various choices is larger for smaller relative momentum of nucleons and smaller scattering angles in mass center reference frame However, the total cross section total in the CPV choice is always larger than that in the PS choice. All these discrepancies will disappear with increasing incident energy.
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Keywords:
- self-energy /
- cross section /
- projection of invariant amplitudes /
- Dirac-Brueckner-Hartree-Fock model
[1] [2] Aichelin J 1991 Phys. Rep. 202 235
[3] Bertsch G F, Das Gupta S 1988 Phys. Rep. 160 189
[4] [5] [6] Sorge H 1995 Phys. Rev. C 52 3291
[7] Maruyama T, Cassing W, Mosel U 1994 Nucl. Phys. A 573 653
[8] [9] [10] Cassing W, Juchem S 2000 Nucl. Phys. A 672 417
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[13] Brown G E, Weise W, Baym G, Speth J 1987 Comments Nucl. Part. Phys. 17 39
[14] [15] [16] Bohnet A, Ohtsuka N, Aichlin J 1989 Nucl. Phys. A 494 349
[17] Walecka J D 1974 Ann. Phys. 83 491
[18] [19] Ansatasio M R, Celenza L S, Pong W S and Shakin C M 1983 Phys. Rep. 100 327
[20] [21] [22] Salpeter E E, Bethe H A 1951 Phys. Rev. 84 1232
[23] [24] Brueckner K A, Levinson C A and Mahmound H M 1954 Rhys. Rev. 95 217
[25] Bethe H A 1956 Phys. Rev. 10 1353
[26] [27] Sehn L, Fuchs C, Faessler A 1997 Phys. Rev. C 56 216
[28] [29] Horowitz C J, Serot B D 1987 Nucl. Phys. A 464 613
[30] [31] [32] Boelting G, Fuchs C, Faessler A 1999 Nucl. Phys. A 648 105
[33] [34] Fuchs C, Waindzoch T, Faessler A, Kosov D S 1998 Phys. Rev. C 58 2022
[35] [36] Fuchs C, Faessler A, El-Shabshiry M 2001 Phys. Rev. C 64 024003
[37] Fuchs C 2004 Lect. Notes Phys. 641 119
[38] [39] Fuchs C, Gaitanos T, Wolter H H 1996 Phys. Lett. B 381 23
[40] [41] Brockmann R, Machleidt R 1990 Phys. Rev. C 42 1965
[42] [43] [44] Li G Q, Mechleidt R 1993 Phys. Rev. C 48 1702
[45] [46] Li G Q, Mechleidt R 1994 Phys. Rev. C 49 566
[47] Machleidt R, Holinde K, Elster C 1987 Phys. Rep. 49 1
[48] [49] [50] Machleidt R, Advances in Nuclear Physics, 19, 189, eds. Negele J W and Vogt E, (Plenum, N. Y 1989)
[51] Xing Y Z, Liu J Y, Guo W J 2003 Nucl. Phys. A 723 483
[52] [53] Xing Y Z, Hao H F, Liu X B 2007 Chin. Phys. Lett. 24 2223
[54] [55] Zhu Y L, Wang Y Y, Xing Y Z 2012 Acta Phys. Sin. 61 142501 (in Chinese) [朱玉兰, 王艳艳, 邢永忠 2012 61 142501]
[56] [57] [58] Zhang H F, Li Z H, Lombardo U 2007 Phys. Rev. C 76 054001
[59] [60] Bouyssy A, Mathiot J F, Giai N V 1987 Phys. Rev. C 36 380
[61] Tjon J A, Wallace S J 1985 Phys. Rev. C 32 267
[62] [63] Li Z H, Zuo W 2012 Chin. Phys. Lett. 29 062104
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[1] [2] Aichelin J 1991 Phys. Rep. 202 235
[3] Bertsch G F, Das Gupta S 1988 Phys. Rep. 160 189
[4] [5] [6] Sorge H 1995 Phys. Rev. C 52 3291
[7] Maruyama T, Cassing W, Mosel U 1994 Nucl. Phys. A 573 653
[8] [9] [10] Cassing W, Juchem S 2000 Nucl. Phys. A 672 417
[11] [12] Serot B D, Walecka J D, Advances in Nuclear Physics, 16, 1, eds, J. W. Nwgwle, E. Vogt (Plenum, N. Y 1986)
[13] Brown G E, Weise W, Baym G, Speth J 1987 Comments Nucl. Part. Phys. 17 39
[14] [15] [16] Bohnet A, Ohtsuka N, Aichlin J 1989 Nucl. Phys. A 494 349
[17] Walecka J D 1974 Ann. Phys. 83 491
[18] [19] Ansatasio M R, Celenza L S, Pong W S and Shakin C M 1983 Phys. Rep. 100 327
[20] [21] [22] Salpeter E E, Bethe H A 1951 Phys. Rev. 84 1232
[23] [24] Brueckner K A, Levinson C A and Mahmound H M 1954 Rhys. Rev. 95 217
[25] Bethe H A 1956 Phys. Rev. 10 1353
[26] [27] Sehn L, Fuchs C, Faessler A 1997 Phys. Rev. C 56 216
[28] [29] Horowitz C J, Serot B D 1987 Nucl. Phys. A 464 613
[30] [31] [32] Boelting G, Fuchs C, Faessler A 1999 Nucl. Phys. A 648 105
[33] [34] Fuchs C, Waindzoch T, Faessler A, Kosov D S 1998 Phys. Rev. C 58 2022
[35] [36] Fuchs C, Faessler A, El-Shabshiry M 2001 Phys. Rev. C 64 024003
[37] Fuchs C 2004 Lect. Notes Phys. 641 119
[38] [39] Fuchs C, Gaitanos T, Wolter H H 1996 Phys. Lett. B 381 23
[40] [41] Brockmann R, Machleidt R 1990 Phys. Rev. C 42 1965
[42] [43] [44] Li G Q, Mechleidt R 1993 Phys. Rev. C 48 1702
[45] [46] Li G Q, Mechleidt R 1994 Phys. Rev. C 49 566
[47] Machleidt R, Holinde K, Elster C 1987 Phys. Rep. 49 1
[48] [49] [50] Machleidt R, Advances in Nuclear Physics, 19, 189, eds. Negele J W and Vogt E, (Plenum, N. Y 1989)
[51] Xing Y Z, Liu J Y, Guo W J 2003 Nucl. Phys. A 723 483
[52] [53] Xing Y Z, Hao H F, Liu X B 2007 Chin. Phys. Lett. 24 2223
[54] [55] Zhu Y L, Wang Y Y, Xing Y Z 2012 Acta Phys. Sin. 61 142501 (in Chinese) [朱玉兰, 王艳艳, 邢永忠 2012 61 142501]
[56] [57] [58] Zhang H F, Li Z H, Lombardo U 2007 Phys. Rev. C 76 054001
[59] [60] Bouyssy A, Mathiot J F, Giai N V 1987 Phys. Rev. C 36 380
[61] Tjon J A, Wallace S J 1985 Phys. Rev. C 32 267
[62] [63] Li Z H, Zuo W 2012 Chin. Phys. Lett. 29 062104
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