不变振幅的不同投影选择对核子自能与碰撞截面的影响

邢永忠; 赵兴文; 郑玉明

doi:10.7498/aps.63.152101

摘要

本文利用Dirac-Brueckner-Hartree-Fock方法，对不同散射道的核子在核物质中的相互作用进行了细致分析，重点分析了不变振幅的不同投影选择对核物质中核子自能和核子碰撞截面的影响. 计算结果显示：1）在确定的核子动量下，自旋三重态所对应的自能总是大于自旋单态的自能；同位旋三重态所对应的自能大于同位旋单态的自能值. 2）在完全赝矢（CPV）选择下，不同散射道的核子自能对于动量的依赖均明显弱于在赝标（PS）选择下的相应值，而这种差别主要来自于总角动量J较小的分波态. 3）在核子相对动量较小时，两种不同选择所对应的核子微分截面较大. 4）在确定的入射能量下，质心系中散射角较小时，不同选择下的微分截面差别较为明显. 5）在低入射能区，CPV选择下所对应的微分截面大于PS下的微分截面值. 6）在CPV 选择下的总截面总是大于PS选择下的总截面值. 这些差别均随着随入射能量的增大而消失.

关键词:

Abstract

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.

Keywords:

作者及机构信息

1.
天水师范学院基础物理学研究所, 天水 741000;

2.
西北师范大学物理与电子工程学院, 兰州 730070;

3.
中国原子能科学研究院, 北京 102413

基金项目: 国家自然科学基金（批准号：11265013）资助的课题.

Authors and contacts

1.
Physics department of Tianshui Normal university, Tianshui 741000, China;

2.
College of Physics and Electronic Engineering, Northwest Normal university, Lanzhou 730070, China;

3.
China Institute of Atomic Energy, PO Box 275(18), Beijing 102413, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11265013).

参考文献

[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

施引文献

[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

[1]	梅策香, 张小安, 周贤明, 梁昌慧, 曾利霞, 张艳宁, 杜树斌, 郭义盼, 杨治虎. 类氦C离子诱发不同金属厚靶原子的K-X射线. , 2024, 73(4): 043201. doi: 10.7498/aps.73.20231477
[2]	周贤明, 尉静, 程锐, 梁昌慧, 陈燕红, 赵永涛, 张小安. 近玻尔速度不同离子碰撞产生Al的K X射线. , 2023, 72(1): 013402. doi: 10.7498/aps.72.20221628
[3]	李博, 李玲, 朱敬军, 林炜平, 安竹. 采用薄靶方法测量低能电子致Al, Ti, Cu, Ag, Au元素K壳层电离截面与L壳层特征X射线产生截面. , 2022, 71(17): 173402. doi: 10.7498/aps.71.20220162
[4]	王晓伟, 郭建友. 复动量格林函数方法对n-α散射研究. , 2019, 68(9): 092101. doi: 10.7498/aps.68.20182197
[5]	李树. 光子与相对论麦克斯韦分布电子散射截面的蒙特卡罗计算方法. , 2018, 67(21): 215201. doi: 10.7498/aps.67.20180932
[6]	高飞, 李腾, 童恒庆, 欧卓玲. 分数阶Willis环脑动脉瘤系统的混沌动力学分析与控制. , 2016, 65(23): 230502. doi: 10.7498/aps.65.230502
[7]	张小安, 梅策香, 赵永涛, 程锐, 王兴, 周贤明, 雷瑜, 孙渊博, 徐戈, 任洁茹. CSR上C6+脉冲束激发Au靶的X射线辐射. , 2013, 62(17): 173401. doi: 10.7498/aps.62.173401
[8]	梁昌慧, 张小安, 李耀宗, 赵永涛, 梅策香, 程锐, 周贤明, 雷瑜, 王兴, 孙渊博, 肖国青. 近Bohr速度的152Eu20+入射Au表面产生的X射线谱. , 2013, 62(6): 063202. doi: 10.7498/aps.62.063202
[9]	何曼丽, 王晓, 高思峰. 电子与氢及其同位素分子碰撞的非解离性电离截面研究. , 2012, 61(4): 043404. doi: 10.7498/aps.61.043404
[10]	王晓璐, 令狐荣锋, 杨建会, 吕兵, 高涛, 杨向东. Ne同位素替代下Ne-HF碰撞截面的理论计算. , 2012, 61(9): 093101. doi: 10.7498/aps.61.093101
[11]	鲁彦霞, 谢安平, 李小华, 向东, 路兴强, 李新霞, 黄千红. Cq+(q=14)与He,Ne,Ar碰撞的电子损失截面测量与研究. , 2011, 60(8): 083401. doi: 10.7498/aps.60.083401
[12]	杜广星, 钱宝良. 准矩形截面强流相对论带状电子束的传输. , 2010, 59(7): 4626-4633. doi: 10.7498/aps.59.4626
[13]	张登红, 董晨钟, 颉录有, 丁晓斌, 符彦飙. 类氦离子的KLL双电子复合过程的相对论理论研究. , 2006, 55(1): 112-118. doi: 10.7498/aps.55.112
[14]	郭汉英, 黄超光, 田雨, 徐湛, 周彬. Beltrami-de Sitter时空和de Sitter不变的狭义相对论. , 2005, 54(6): 2494-2504. doi: 10.7498/aps.54.2494
[15]	方建会, 陈培胜, 张军, 李红. 相对论力学系统的形式不变性与Lie对称性. , 2003, 52(12): 2945-2948. doi: 10.7498/aps.52.2945
[16]	方建会, 闫向宏, 陈培胜. 相对论力学系统的形式不变性与Noether对称性. , 2003, 52(7): 1561-1564. doi: 10.7498/aps.52.1561
[17]	罗绍凯, 卢一兵, 周强, 王应德, 欧阳实. 转动相对论Birkhoff约束系统积分不变量的构造. , 2002, 51(9): 1913-1917. doi: 10.7498/aps.51.1913
[18]	罗绍凯. 转动相对论系统的Appell方程及其形式不变性. , 2002, 51(4): 712-717. doi: 10.7498/aps.51.712
[19]	方泉玉, 李萍, 刘勇, 邹宇, 邱玉波. Alq+(q=0—12)的光电离截面和Bethe系数. , 2001, 50(4): 655-659. doi: 10.7498/aps.50.655
[20]	王营冠, 罗正明. 非弹性核反应对质子束能量沉积的影响. , 2000, 49(8): 1639-1643. doi: 10.7498/aps.49.1639

计量

文章访问数: 5440
PDF下载量: 232
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板