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With the isospin-dependent Nilsson potential, we calculate the properties of the N=28 nuclei in the framework of macroscopic-microscopic model. The shape and shape coexistence of these nuclei are calculated and discusses. It is shown that strong shape coexistences occur in the ground state of nuclei with N=28 in Na, Mg and Al isotopes. It is pointed out that, the ground state of 42Si is oblate shape and there is no obvious shape coexistence for 42Si.
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Keywords:
- isospin /
- magic number /
- deformation /
- shape coexistence
[1] Ren Z, Zhu Z Y, Cai Y H, Xu G 1996 Phys. Lett. B 380 241
[2] Li Y, Shen S F,Shi S H, Gu J H, Liu, J Y, Xu H 2005 Chin. Phys. 14 95
[3] Zhang Y M, Xu F R 2008 Acta. Phys. Sin. 57 4826 (in Chinese) [张玉美、 许甫荣 2008 物理学报 57 4826]
[4] Sheng W Q, Zhan W L, Ye Y L, Liu W P, Jin G M, Zhou X H, Xu S W, Zhu L H, Zhu S J, Liu Z H, Meng J 2001 Nuclear Physics Review 18 206 (in Chinese)[沈文庆、 詹文龙、 叶沿林、 柳卫平、 靳根明、 周小红、 徐树威、 竺礼华、 朱胜江、 刘祖华、 孟 杰 2001 原子核物理评论 18 206]
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[7] Motobayashi T, Ikeda Y, Ieki K, Inoue M, Iwasa N, Kikuchi T, Kurokawa M, Moriya S, Ogawa S, Murakami H, Shimoura S, Yanagisawa Y, Nakamura T, Watanabe Y, Ishihara M, Teranishi T, Okuno H, Casten R F 1995 Phys. Lett. B 346 9
[8] Neyens G, Kowalska M, Yordanov D, Blaum K, Himpe P, Lievens P, Mallion S, Neugart R, Vermeulen N, Utsuno Y, Otsuka T 2005 Phys. Rev. Lett. 94 022501
[9] Schwerdtfeger W, Thirolf P G, Wimmer K, Habs D, Mach H, Rodriguez T R, Bildstein V, Egido J L, Fraile L M, Gernhöuser R, Hertenberger R, Heyde K, Hoff P, Hübel H, Küster U, Kröll T, Krücken R, Lutter R, Morgan T, Ring P 2009 Phys. Rev. Lett. 103 012501
[10] Grévy S, Angelique J C, Baumann P, Borcea C, Buta A, Canchel G, Catford W N, Courtin S, Daugas J M, Oliveira F, Dessagne P, Dlouhy Z, Knipper A, Kratz K L, Lecolley F R, Lecouey J L, Lehrsenneau G, Lewitowicz M, Lienard E, Lukyanov S, Marechal F, Miehe C, Mrazek J, Negoita F, Orr N A, Pantelica D, Penionzhkevich Y, Peter J, Pffeier B, Pietri S, Poirier E, Sorlin O, Stanoiue M, Stefan I, Stodel C, Timis C 2004 Phys. Lett. B 594 252
[11] Fridmann J, Wiedenhöover I, Gade A, Baby L T, Bazin D, Brown B A, Campbell C M, Cook J M, Cottle P D, Direnderfer E, Dinca D C, Glasmacher T, Hansen P G, Kemper K W, Lecouey J L, Mueller W F, Olliver H, Rodriguez-Vietez E, Tery J R, Tostevin J A, Yoneda K 2005 Nature 435 922
[12] Bastin B, Grévy S, Sohler D, Sorlin O, Dombrádi Zs, Achouri N L, Angélique J C, Azaiez F, Baiborodin D, Borcea6 R, Bourgeois C, Buta A, Bürger A, Chapman R, Dalouzy J C , Dlouhy Z, Drouard A, Elekes Z, Franchoo S, Iacob S, Laurent B, Lazar M, Liang X, Liénard E, Mrazek J, Nalpas L, Negoita F, Orr N A, Penionzhkevich Y, Podolyák Zs, Pougheon F, Roussel-Chomaz P, Saint-Laurent M G, Stanoiu M, Stefan I 2007 Phys. Rev. Lett. 99 022503.
[13] Riley L A, Adrich P, Baugher T R, Bazi D, Brown B A, Cook J M, Cottle P D, Diget C A, Gade A, Garland D A, Glasmacher T, Hosier K E, Kemper K W, Otsuka T, Rae W D M, Ratkiewicz A, Siwek K P, Tostevin J A, Utsuno Y, Weisshaar D 2008 Phys. Rev. C 78 011303
[14] Caurier E, Nowacki F, Poves A, Retamosa J 1998 Phys. Rev. C 58 2033
[15] Utsuno Y, Otsuka T, Mizusaki T, Honma M 1999 Phys. Rev. C 60 054315
[16] Otsuka T, Suzuki T, Honma M, Utsuno Y, Tsunoda N, Tsukiyama K, Hjorth-Jensen M 2010 Phys. Rev. Lett. 104 012501
[17] Rodriguez-Guzman R, Egido J L, Robledo L M 2000 Phys. Lett. B 474 15
[18] Nowacki F, Poves A 2009 Phys. Rev. C 79 014310
[19] Zhi Q J, Ren Z Z 2007 Nucl. Phys. A 794 10
[20] Ding B G, Lu D H , Zhang D L 2007 Acta. Phys. Sin. 56 6905 (in Chinese) [丁斌刚、 鲁定辉、 张大立 2007 物理学报 56 6905]
[21] Ding B G, Zhang D L, Lu D H 2009 Acta. Phys. Sin. 58 865 (in Chinese) [丁斌刚、 张大立、 鲁定辉 2009 物理学报 58 865]
[22] Reinhard P G, Dean D J, Nazarewicz W, Dobaczewski J, Maruhn J A, Strayer M 1999 Phys. Rev. C 60 014316
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[1] Ren Z, Zhu Z Y, Cai Y H, Xu G 1996 Phys. Lett. B 380 241
[2] Li Y, Shen S F,Shi S H, Gu J H, Liu, J Y, Xu H 2005 Chin. Phys. 14 95
[3] Zhang Y M, Xu F R 2008 Acta. Phys. Sin. 57 4826 (in Chinese) [张玉美、 许甫荣 2008 物理学报 57 4826]
[4] Sheng W Q, Zhan W L, Ye Y L, Liu W P, Jin G M, Zhou X H, Xu S W, Zhu L H, Zhu S J, Liu Z H, Meng J 2001 Nuclear Physics Review 18 206 (in Chinese)[沈文庆、 詹文龙、 叶沿林、 柳卫平、 靳根明、 周小红、 徐树威、 竺礼华、 朱胜江、 刘祖华、 孟 杰 2001 原子核物理评论 18 206]
[5] Thibault C, Klapisch R, Rigaud C, Poskanzer A M, Prieels R, Lessard L, Reisdorf W 1975 Phys. Rev. C 12 644
[6] Werner T R, Sheikh J A, Nazarewicz W, Strayer M R, Umar A S, Misu M 1994 Phys. Lett. B 333 303
[7] Motobayashi T, Ikeda Y, Ieki K, Inoue M, Iwasa N, Kikuchi T, Kurokawa M, Moriya S, Ogawa S, Murakami H, Shimoura S, Yanagisawa Y, Nakamura T, Watanabe Y, Ishihara M, Teranishi T, Okuno H, Casten R F 1995 Phys. Lett. B 346 9
[8] Neyens G, Kowalska M, Yordanov D, Blaum K, Himpe P, Lievens P, Mallion S, Neugart R, Vermeulen N, Utsuno Y, Otsuka T 2005 Phys. Rev. Lett. 94 022501
[9] Schwerdtfeger W, Thirolf P G, Wimmer K, Habs D, Mach H, Rodriguez T R, Bildstein V, Egido J L, Fraile L M, Gernhöuser R, Hertenberger R, Heyde K, Hoff P, Hübel H, Küster U, Kröll T, Krücken R, Lutter R, Morgan T, Ring P 2009 Phys. Rev. Lett. 103 012501
[10] Grévy S, Angelique J C, Baumann P, Borcea C, Buta A, Canchel G, Catford W N, Courtin S, Daugas J M, Oliveira F, Dessagne P, Dlouhy Z, Knipper A, Kratz K L, Lecolley F R, Lecouey J L, Lehrsenneau G, Lewitowicz M, Lienard E, Lukyanov S, Marechal F, Miehe C, Mrazek J, Negoita F, Orr N A, Pantelica D, Penionzhkevich Y, Peter J, Pffeier B, Pietri S, Poirier E, Sorlin O, Stanoiue M, Stefan I, Stodel C, Timis C 2004 Phys. Lett. B 594 252
[11] Fridmann J, Wiedenhöover I, Gade A, Baby L T, Bazin D, Brown B A, Campbell C M, Cook J M, Cottle P D, Direnderfer E, Dinca D C, Glasmacher T, Hansen P G, Kemper K W, Lecouey J L, Mueller W F, Olliver H, Rodriguez-Vietez E, Tery J R, Tostevin J A, Yoneda K 2005 Nature 435 922
[12] Bastin B, Grévy S, Sohler D, Sorlin O, Dombrádi Zs, Achouri N L, Angélique J C, Azaiez F, Baiborodin D, Borcea6 R, Bourgeois C, Buta A, Bürger A, Chapman R, Dalouzy J C , Dlouhy Z, Drouard A, Elekes Z, Franchoo S, Iacob S, Laurent B, Lazar M, Liang X, Liénard E, Mrazek J, Nalpas L, Negoita F, Orr N A, Penionzhkevich Y, Podolyák Zs, Pougheon F, Roussel-Chomaz P, Saint-Laurent M G, Stanoiu M, Stefan I 2007 Phys. Rev. Lett. 99 022503.
[13] Riley L A, Adrich P, Baugher T R, Bazi D, Brown B A, Cook J M, Cottle P D, Diget C A, Gade A, Garland D A, Glasmacher T, Hosier K E, Kemper K W, Otsuka T, Rae W D M, Ratkiewicz A, Siwek K P, Tostevin J A, Utsuno Y, Weisshaar D 2008 Phys. Rev. C 78 011303
[14] Caurier E, Nowacki F, Poves A, Retamosa J 1998 Phys. Rev. C 58 2033
[15] Utsuno Y, Otsuka T, Mizusaki T, Honma M 1999 Phys. Rev. C 60 054315
[16] Otsuka T, Suzuki T, Honma M, Utsuno Y, Tsunoda N, Tsukiyama K, Hjorth-Jensen M 2010 Phys. Rev. Lett. 104 012501
[17] Rodriguez-Guzman R, Egido J L, Robledo L M 2000 Phys. Lett. B 474 15
[18] Nowacki F, Poves A 2009 Phys. Rev. C 79 014310
[19] Zhi Q J, Ren Z Z 2007 Nucl. Phys. A 794 10
[20] Ding B G, Lu D H , Zhang D L 2007 Acta. Phys. Sin. 56 6905 (in Chinese) [丁斌刚、 鲁定辉、 张大立 2007 物理学报 56 6905]
[21] Ding B G, Zhang D L, Lu D H 2009 Acta. Phys. Sin. 58 865 (in Chinese) [丁斌刚、 张大立、 鲁定辉 2009 物理学报 58 865]
[22] Reinhard P G, Dean D J, Nazarewicz W, Dobaczewski J, Maruhn J A, Strayer M 1999 Phys. Rev. C 60 014316
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