Theoretical study of the central depression of nuclear charge density distribution by electron scattering
The charge form factors of elastic electron scattering for isotones with N=20 and N=28 are calculated using the phase-shift analysis method,with corresponding charge density distributions from relativistic mean-field theory.The results show that there are sharp variations at the inner parts of charg...
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| Published in | Chinese physics C Vol. 36; no. 1; pp. 48 - 54 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
IOP Publishing
2012
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1137 0254-3052 2058-6132 |
| DOI | 10.1088/1674-1137/36/1/008 |
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| Abstract | The charge form factors of elastic electron scattering for isotones with N=20 and N=28 are calculated using the phase-shift analysis method,with corresponding charge density distributions from relativistic mean-field theory.The results show that there are sharp variations at the inner parts of charge distributions with the proton number decreasing.The corresponding charge form factors are divided into two groups because of the unique properties of the s-states wave functions,though the proton numbers change uniformly in two isotonic chains.Meanwhile,the shift regularities of theminima are also discussed,and we give a clear relation between theminima of the charge form factors and the corresponding charge radii.This relation is caused by the diffraction effect of the electron.Under this conclusion,we calculate the charge density distributions and the charge form factors of the A=44 nuclei chain.The results are also useful for studying the central depression in light exotic nuclei. |
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| AbstractList | The charge form factors of elastic electron scattering for isotones with N = 20 and N = 28 are calculated using the phase-shift analysis method, with corresponding charge density distributions from relativistic mean-field theory. The results show that there are sharp variations at the inner parts of charge distributions with the proton number decreasing. The corresponding charge form factors are divided into two groups because of the unique properties of the s-states wave functions, though the proton numbers change uniformly in two isotonic chains. Meanwhile, the shift regularities of the minima are also discussed, and we give a clear relation between the minima of the charge form factors and the corresponding charge radii. This relation is caused by the diffraction effect of the electron. Under this conclusion, we calculate the charge density distributions and the charge form factors of the A = 44 nuclei chain. The results are also useful for studying the central depression in light exotic nuclei. The charge form factors of elastic electron scattering for isotones with N=20 and N=28 are calculated using the phase-shift analysis method,with corresponding charge density distributions from relativistic mean-field theory.The results show that there are sharp variations at the inner parts of charge distributions with the proton number decreasing.The corresponding charge form factors are divided into two groups because of the unique properties of the s-states wave functions,though the proton numbers change uniformly in two isotonic chains.Meanwhile,the shift regularities of theminima are also discussed,and we give a clear relation between theminima of the charge form factors and the corresponding charge radii.This relation is caused by the diffraction effect of the electron.Under this conclusion,we calculate the charge density distributions and the charge form factors of the A=44 nuclei chain.The results are also useful for studying the central depression in light exotic nuclei. |
| Author | 刘健 褚衍运 任中洲 王再军 |
| AuthorAffiliation | Department of Physics, Nanjing University, Nanjing 210008, China Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000, China Department of Mathematics, Physics and Information Science, Tianjin University of Technology and Education, Tianjin 300222, China |
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| CitedBy_id | crossref_primary_10_1103_PhysRevC_91_017302 crossref_primary_10_1103_PhysRevC_96_024306 |
| Cites_doi | 10.1146/annurev.ns.25.120175.001553 10.1006/adnd.1995.1007 10.1103/PhysRevC.70.034303 10.1103/PhysRevC.79.034318 10.1103/PhysRevC.57.2752 10.1103/PhysRevLett.18.704 10.1088/0034-4885/52/4/002 10.1103/PhysRevC.79.044313 10.1016/0375-9474(73)90039-0 10.1103/PhysRevC.72.044307 10.1088/0031-8949/28/3/010 10.1016/j.cpc.2004.09.006 10.1016/S0375-9474(02)01398-2 10.1103/PhysRevLett.102.102501 10.1016/j.nuclphysa.2007.08.001 10.1016/0375-9474(81)90770-3 10.1103/RevModPhys.28.214 10.1016/0375-9474(72)90276-X 10.1016/j.nuclphysa.2007.11.012 10.1016/j.adt.2004.04.002 10.1103/PhysRevC.76.054602 10.1103/RevModPhys.56.461 10.1016/j.nuclphysa.2006.12.020 10.1016/0092-640X(87)90013-1 10.1103/PhysRevC.82.024302 10.1016/j.nuclphysa.2003.11.003 10.1016/j.physletb.2005.08.030 10.1103/PhysRevC.69.021301 10.1016/0375-9474(74)90039-6 10.1103/PhysRev.69.538 10.1016/S0146-6410(01)00156-9 10.1016/j.ppnp.2005.01.008 10.1016/j.physletb.2007.04.051 10.1016/S0092-640X(74)80002-1 10.1016/0146-6410(96)00054-3 10.1103/PhysRevC.78.044332 10.1103/PhysRevLett.100.164801 |
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| Notes | 11-5641/O4 elastic electron scattering; RMF model; phase-shift analysis; central depression The charge form factors of elastic electron scattering for isotones with N=20 and N=28 are calculated using the phase-shift analysis method,with corresponding charge density distributions from relativistic mean-field theory.The results show that there are sharp variations at the inner parts of charge distributions with the proton number decreasing.The corresponding charge form factors are divided into two groups because of the unique properties of the s-states wave functions,though the proton numbers change uniformly in two isotonic chains.Meanwhile,the shift regularities of theminima are also discussed,and we give a clear relation between theminima of the charge form factors and the corresponding charge radii.This relation is caused by the diffraction effect of the electron.Under this conclusion,we calculate the charge density distributions and the charge form factors of the A=44 nuclei chain.The results are also useful for studying the central depression in light exotic nuclei. LIU Jian 1;1) CHU Yan-Yun 1 REN Zhong-Zhou 1,2 WANG Zai-Jun 3 1 Department of Physics,Nanjing University,Nanjing 210008,China 2 Center of Theoretical Nuclear Physics,National Laboratory of Heavy-Ion Accelerator,Lanzhou 730000,China 3 Department of Mathematics,Physics and Information Science,Tianjin University of Technology and Education,Tianjin 300222,China ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
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| References | 22 23 24 25 26 28 29 Reinhard P G (33) 1989; 52 An International Accelerator Facility for Beams of Ions (12) 2006 30 31 10 32 11 34 13 35 14 36 15 37 16 38 17 18 19 Litvinenko A S (6) 1972; 182 Swiatecki W J (27) 1983; 28 1 2 3 4 5 7 8 9 20 21 |
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| Snippet | The charge form factors of elastic electron scattering for isotones with N=20 and N=28 are calculated using the phase-shift analysis method,with corresponding... The charge form factors of elastic electron scattering for isotones with N = 20 and N = 28 are calculated using the phase-shift analysis method, with... |
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| SubjectTerms | Charge Charge density Depression Electron scattering Form factors Mathematical analysis Minima Nuclei 中央 凹陷 形状因子 散射理论 电子弹性散射 电荷分布 电荷密度分布 相对论平均场理论 |
| Title | Theoretical study of the central depression of nuclear charge density distribution by electron scattering |
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