复动量格林函数方法对n-α散射研究
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摘要
在复动量表象下引入格林函数,建立了复动量格林函数方法.把这种方法应用于n-α散射系统,计算其散射相移.提取n-α系统的共振态并研究共振态对能级密度、相移和散射截面的贡献.在不引入任何非物理参数的前提下,离散化薛定谔积分方程得到束缚态、共振态和连续谱.通过分析散射态物理量可以更好地理解共振态以及非共振连续谱态.在n-α系统中的成功应用,证明了该方法的正确性.
Nuclear scattering is a very important physical phenomenon in which the resonance state plays an important role. In order to study the two-body system n-α scattering, Green's function is introduced under the complex momentum representation, so the complex momentum representation-Green' s function approach is established. This method is used to study the elastic scattering of n-α system. By extracting the resonances, it is found that the contributions of resonances in continuum level density, phase shift, and cross section are more important. In the case without introducing any non-physical parameters, it is very helpful to understand the resonant states and the non-resonance continuum states by analyzing the data of scattering states. In this work,we mainly study the p-wave scattering with the orbital angular momentum l = 1, where P_(1/2) is a wide resonance state and P_(3/2) is narrow resonance state. The study shows that the sharp resonance peak of p-wave scattering gives rather broad distribution to the scattering phase shift and the cross section of the n-α system.By comparison, we can see that the theoretical calculation results and experimental data are in good consistence.
Nuclear scattering is a very important physical phenomenon in which the resonance state plays an important role. In order to study the two-body system n-α scattering, Green's function is introduced under the complex momentum representation, so the complex momentum representation-Green' s function approach is established. This method is used to study the elastic scattering of n-α system. By extracting the resonances, it is found that the contributions of resonances in continuum level density, phase shift, and cross section are more important. In the case without introducing any non-physical parameters, it is very helpful to understand the resonant states and the non-resonance continuum states by analyzing the data of scattering states. In this work,we mainly study the p-wave scattering with the orbital angular momentum l = 1, where P_(1/2) is a wide resonance state and P_(3/2) is narrow resonance state. The study shows that the sharp resonance peak of p-wave scattering gives rather broad distribution to the scattering phase shift and the cross section of the n-α system.By comparison, we can see that the theoretical calculation results and experimental data are in good consistence.
引文
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[51] Hoop B, Barschall H H 1966 Nucl. Phys. 83 65
[52] Stammbach T, Walter R L 1972 Nucl. Phys. A 180 225
[53] Vaughn F J, Imhof W L, Johnson R G, Walt M 1960 Phys.Rev. 118 683
[54] Los Alamos P, Gryogenics G 1959 Nucl. Phys. 12 291
[2] Ryusuke S, Takayuki M, Kiyoshi K 2005 Prog. Theor. Phys.113 1273
[3] Kiyoshi K, Masayuki A 2014 Phys. Rev. C 89 034322
[4] Wigner E P, Eisenbud L 1947 Phys. Rev. 72 29
[5] Hale G M, Brown R E, Jarmie N 1987 Phys. Lett. 59 763
[6] Humblet J, Filippone B W, Koonin S E 1991 Phys. Rev. C 442530
[7] Taylor J R, Wiley J 1972 Scattering Theory:The Quantum Theory on Non-relativistic Collisions(New York:Inc.Mineola)pp204-207
[8] Amos K, Canton L, Pisent G, Svenne J P, van der Knijff D2003 Nucl. Phys. A 728 65
[9] Guo J Y, Fang X Z, Jiao P, Wang J, Yao B M 2010 Phys.Rev. C 82 034318
[10] Lu B N, Zhao E G, Zhou S G 2012 Phys. Rev. Lett. 109072501
[11] Lu B N, Zhao E G, Zhou S G 2013 Phys. Rev. C 88 024323
[12] Shi M, Liu Q, Niu Z M, Gou J Y 2014 Phys. Rev. C 90 034319
[13] Zhu Z L, Niu Z M, Li D P, Liu Q, Guo J Y 2014 Phys. Rev.C 89 034307
[14] Liu Q, Guo J Y, Niu Z M, Chen S W 2012 Phys. Rev. C 86054312
[15] Wang H Y, Chang X U 2016 Nucl. Phys. Rev. 33 1
[16] Jolly R K, Amos T M, Galonsky A 1973 Phys. Rev. C 7 1903
[17] Brussel M K, Williams J H 1957 Phys. Rev. C106 286
[18] Hwang C F 1962 Phys. Rev. Lett. 9 104
[19] May T H, Walter R L, Barschall H H 1963 Nucl. Phys. 45 17
[20] Craddock M K 1963 Phys. Lett. 5 335
[21] Barnard A C L, Jones C M, Weil J L 1964 Nucl. Phys. 50 604
[22] Bunch S M, Forster H H, Kim C C 1964 Nucl. Phys. 53 241
[23] Morgan G L 1968 Phys. Rev. 168 114
[24] Garreta D, Sura J, Tarrats A 1969 Nucl. Phys. A 132 204
[25] Goldstein N P, Held A, Stairs D G 1970 Can. J. Phys. 48 2629
[26] Schwandt P, Clegg T B, Haeberli W 1971 Nucl. Phys. A 163432
[27] Bacher A D 1972 Phys. Rev. C 5 1147
[28] Austin S M, Barschall H H, Shamu R E 1962 Phys. Rev. 1261532
[29] Shi X X, Shi M, Heng T H 2016 Phys. Rev. C 94 024302
[30] Li N, Shi M, Guo J Y, Niu Z M, Liang H Z 2016 Phys. Rev.Lett. 117 062502
[31] Fang Z, Shi M, Guo J Y, Niu Z M, Liang H Z, Zhang S S2017 Phys. Rev. C95 024311
[32] Ding K M, Shi M, Guo J Y, Niu Z M, Liang H Z 2018 Phys.Rev. C 98 014316
[33] Shi M, Niu Z M, Liang H Z 2018 Phys. Rev. C97 064301
[34] Ali S, Bodmer A R 1966 Nucl. Phys. 80 99
[35] Marquez L 1983 Phys. Rev. C 28 2525
[36] Mohr P 1994 Z. Phys. A 349 339
[37] Shlomo S 1992 Nucl. Phys. A 539 17
[38] Levine R D 1969 Quantum Mechanics of Molecular Rate Processes(Oxford:Clarendon Press Oxford)pp101-106
[39] Haberzettl H, Workman R 2007 Phys. Rev. C 76 058201
[40] Hamamoto I 2010 Phys. Rev. C 81 021304(R)
[41] Fano U 1961 Phys. Rev. 124 1866
[42] Meng J, Ring P 1996 Rev. Lett. 77 3963
[43] Sandulesu N, Van Giai N, Liotta R J 2000 Phys. Rev. C 61061301
[44] Kanada H, Kaneko T, Nagata S, Nomoto M 1979 Prog.Theor. Phys. 61 1327
[45] Kruppa A T 1998 Phys. Lett. B 431 237
[46] Kruppa A T, Arai K 1999 Phys. Rev. A 59 3556
[47] Myo T, Kikuchi Y, Masui H, Kato K 2014 Prog. Part. Nucl.Phys. 79 1
[48] Shi M, Guo J Y, Liu Q, Niu Z M, Heng T H 2015 Phys. Rev.C 92 054313
[49] Shi M, Shi X X, Niu Z M, Sun T T, Guo J M 2017 Eur.Phys. J. A 53 40
[50] Tilley D R, Cheves C M, Godwin J L, et al. 2002 Nucl. Phys.A 708 3
[51] Hoop B, Barschall H H 1966 Nucl. Phys. 83 65
[52] Stammbach T, Walter R L 1972 Nucl. Phys. A 180 225
[53] Vaughn F J, Imhof W L, Johnson R G, Walt M 1960 Phys.Rev. 118 683
[54] Los Alamos P, Gryogenics G 1959 Nucl. Phys. 12 291