Evolution of <em>N</em>=28 shell closure in relativistic continuum Hartree-Bogoliubov theory

Xue-Wei Xia

doi:10.1088/1674-1137/40/7/074101

Chinese Physics C> 2016, Vol. 40> Issue(7) : 074101 DOI: 10.1088/1674-1137/40/7/074101

Evolution of N=28 shell closure in relativistic continuum Hartree-Bogoliubov theory

Xue-Wei Xia ^,

1.
School of Physics and Nuclear Energy Engineering and International Research Center for Nuclei and Particles in the Cosmos, Beihang University, Beijing 100191, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The N=28 shell gap in sulfur, argon, calcium and titanium isotopes is investigated in the framework of relativistic continuum Hartree-Bogoliubov (RCHB) theory. The evolutions of neutron shell gap, separation energy, single particle energy and pairing energy are analyzed, and it is found that the N=28 shell gap is quenched in sulfur isotopes but persists in argon, calcium and titanium isotopes. The evolution of the N=28 shell gap in the N=28 isotonic chain is discussed, and the erosion of the N=28 shell gap is understood with the evolution of potential with proton number.
- N=28 shell closure ,
- RCHB theory ,
- shell evolution

References

[1]	O. Haxel, J. H. D. Jensen and H. E. Suess, Phys. Rev., 75:1766(1949)
[2]	M. G. Mayer, Phys. Rev., 75:1969(1949)
[3]	I. Tanihata, H. Hamagaki, O. Hashimoto et al, Phys. Rev. Lett., 55:2676(1985)
[4]	A. Navin, D. W. Anthony, T. Aumann et al, Phys. Rev. Lett., 85:266(2000)
[5]	H. Iwasaki, T. Motobayashi, H. Akiyoshi et al, Phys. Lett. B, 491:8(2000)
[6]	D. Guillemaud-Mueller, C. Detraz, M. Langevin et al, Nucl. Phys. A, 426:37(1984)
[7]	T. Motobayashi, Y. Ikeda, K. Ieki et al, Phys. Lett. B, 346:9(1995)
[8]	O. Sorlin, D. Guillemaud-Mueller, A. C. Mueller et al, Phys. Rev. C, 47:2941(1993)
[9]	T. Glasmacher, B. A. Brown, M. J. Chromik et al, Phys. Lett. B, 395:163(1997)
[10]	F. Sarazin, H. Savajols, W. Mittig et al, Phys. Rev. Lett., 84:5062(2000)
[11]	B. Bastin, S. Grvy, D. Sohler et al, Phys. Rev. Lett., 99:022503(2007)
[12]	A. Ozawa, T. Kobayashi, T. Suzuki et al, Phys. Rev. Lett., 84:5493(2000)
[13]	D. Steppenbeck, S. Takeuchi, N. Aoi et al, Nature, 502:207(2013)
[14]	J. Dobaczewski, I. Hamamoto, W. Nazarewicz et al, Phys. Rev. Lett., 72:981(1994)
[15]	C. M. Campbell, N. Aoi, D. Bazin et al, Phys. Rev. Lett., 97:112501(2006)
[16]	S. Takeuchi, M. Matsushita, N. Aoi et al, Phys. Rev. Lett., 109:182501(2012)
[17]	S. R. Stroberg, A. Gade, J. A. Tostevin et al, Phys. Rev. C, 90:034301(2014)
[18]	L. Gaudefroy, J. M. Daugas, M. Hass et al, Phys. Rev. Lett., 102:092501(2009)
[19]	C. Force, S. Grvy, L. Gaudefroy et al, Phys. Rev. Lett., 105:102501(2010)
[20]	D. Santiago-Gonzalez, I. Wiedenhver, V. Abramkina et al, Phys. Rev. C, 83:061305(2011)
[21]	S. Grvy, J. Mrazek, J. C. Angelique et al, Nucl. Phys. A, 722:C424(2003)
[22]	S. Bhattacharyya, M. Rejmund, A. Navin et al, Phys. Rev. Lett., 101:032501(2008)
[23]	A. Gade, P. Adrich, D. Bazin et al, Phys. Rev. Lett., 102:182502(2009)
[24]	H. Scheit, T. Glasmacher, B. A. Brown et al, Phys. Rev. Lett., 77:3967(1996)
[25]	A. Gade, D. Bazin, C. A. Bertulani et al, Phys. Rev. C, 71:051301(2005)
[26]	L. Gaudefroy, O. Sorlin, D. Beaumel et al, Phys. Rev. Lett., 97:092501(2006)
[27]	L. Gaudefroy, O. Sorlin, F. Nowacki et al, Phys. Rev. C, 78:034307(2008)
[28]	D. Mengoni, J. J. Valiente-Dobn, A. Gadea et al, Phys. Rev. C, 82:024308(2010)
[29]	Z. Meisel, S. George, S. Ahn et al, Phys. Rev. Lett., 114:022501(2015)
[30]	J. Retamosa, E. Caurier, F. Nowacki et al, Phys. Rev. C, 55:1266(1997)
[31]	D. J. Dean, M. T. Ressell, M. Hjorth-Jensen et al, Phys. Rev. C, 59:2474(1999)
[32]	E. Caurier, F. Nowacki, and A. Poves, Eur. Phys. J. A, 15:145(2002)
[33]	E. Caurier, F. Nowacki, and A. Poves, Nucl. Phys. A, 742:14(2004)
[34]	E. Caurier, G. Martnez-Pinedo, F. Nowacki et al, Rev. Mod. Phys.,77:427(2005)
[35]	F. Nowacki and A. Poves, Phys. Rev. C, 79:014310(2009)
[36]	L. Gaudefroy, Phys. Rev. C, 81:064329(2010)
[37]	E. Caurier, F. Nowacki, and A. Poves, Phys. Rev. C, 90:014302(2014)
[38]	T. R. Werner, J. A. Sheikh et al, Nucl. Phys. A, 597:327(1996)
[39]	D. Hirata, K. Sumiyoshi, B. V. Carlson et al, Nucl. Phys. A, 609:131(1996)
[40]	G. A. Lalazissis, D. Vretenar, P. Ring et al, Phys. Rev. C, 60:014310(1999)
[41]	B. V. Carlson and D. Hirata, Phys. Rev. C, 62:054310(2000)
[42]	S. Peru, M. Girod, and J. F. Berger, Eur. Phys. J. A, 9:35(2000)
[43]	R. Rodrguez-Guzmn, J. L. Egido, and L. M. Robledo, Phys. Rev. C, 65:024304(2002)
[44]	M. Moreno-Torres, M. Grasso, H. Z. Liang et al, Phys. Rev. C, 81:064327(2010)
[45]	T. R. Rodrguez and J. L. Egido, Phys. Rev. C, 84:051307(2011)
[46]	Z. P. Li, J. M. Yao, D. Vretenar et al, Phys. Rev. C, 84:054304(2011)
[47]	Y. Z. Wang, J. Z. Gu, J. M. Dong et al, Phys. Rev. C, 83:054305(2011)
[48]	Y. Z. Wang, J. Z. Gu, G. L. Yu et al, Chin. Phys. Lett., 31:102102(2014)
[49]	J. Dobaczewski, H. Flocard, and J. Treiner, Nucl. Phys. A, 422:103(1984)
[50]	J. Dobaczewski, W. Nazarewicz, T. R. Werner et al, Phys. Rev. C, 53:2809(1996)
[51]	J. Meng and P. Ring, Phys. Rev. Lett., 77:3963(1996)
[52]	J. Meng, Nucl. Phys. A, 635:3(1998)
[53]	J. Meng, H. Toki, S.G. Zhou et al, Prog. Part. Nucl. Phys., 57:470(2006)
[54]	J. Meng and S.G. Zhou, J. Phys. G:Nucl. Part. Phys., 42:093101(2015)
[55]	J. Meng and P. Ring, Phys. Rev. Lett., 80:460(1998)
[56]	J. Meng, H. Toki, J. Y. Zeng et al, Phys. Rev. C, 65:041302(2002)
[57]	W. Zhang, J. Meng, S. Q. Zhang et al, Nucl. Phys. A, 753:106(2005)
[58]	J. Meng, I. Tanihata, and S. Yamaji, Phys. Lett. B, 419:1(1998)
[59]	J. Meng, S.G. Zhou, and I. Tanihata, Phys. Lett. B, 532:209(2002)
[60]	S.G. Zhou, J. Meng, P. Ring et al, Phys. Rev. C, 82:011301(2010)
[61]	L. L. Li, J. Meng, P. Ring et al, Phys. Rev. C, 85:024312(2012)
[62]	Y. Chen, L. L. Li, H. Z. Liang et al, Phys. Rev. C, 85:067301(2012)
[63]	H. Kucharek and P. Ring, Z. Phys. A, 339:23(1991)
[64]	P. W. Zhao, Z. P. Li, J. M. Yao et al, Phys. Rev. C, 82:054319(2010)
[65]	P. W. Zhao, L. S. Song, B. Sun et al, Phys. Rev. C, 86:064324(2012)
[66]	X. M. Hua, T. H. Heng, Z. M. Niu et al, Sci. China Phys. Mech. Astron., 55:2414(2012)
[67]	X. Y. Qu, Y. Chen, S. Q. Zhang et al, Sci. China Phys. Mech. Astron., 56:2031(2013)
[68]	Q.-S. Zhang, Z. M. Niu, Z. P. Li et al, Front. Phys., 9:529(2014)
[69]	K. Q. Lu, Z. X. Li, Z. P. Li et al, Phys. Rev. C, 91:027304(2015)
[70]	A. V. Afanasjev, S. E. Agbemava, D. Ray et al, Phys. Rev. C, 91:014324(2015)
[71]	J. M. Yao, H. Mei, and Z. P. Li, Phys. Lett. B, 723:459(2013)
[72]	J. M. Yao, K. Hagino, Z. P. Li et al, Phys. Rev. C, 89:054306(2014)
[73]	X. Y. Wu, J. M. Yao, and Z. P. Li, Phys. Rev. C, 89:017304(2014)
[74]	Z. P. Li, C. Y. Li, J. Xiang et al, Phys. Lett. B, 717:470(2012)
[75]	Y. Fu, H. Mei, J. Xiang et al, Phys. Rev. C, 87:054305(2013)
[76]	Z. P. Li, B. Y. Song, J. M. Yao et al, Phys. Lett. B, 726:866(2013)
[77]	J. Xiang, Z. P. Li, J. M. Yao et al, Phys. Rev. C, 88:057301(2013)
[78]	Z. H. Wang, J. Xiang, W. H. Long et al, J. Phys. G:Nucl. Part. Phys., 42:045108(2015)
[79]	P. W. Zhao, S. Q. Zhang, and J. Meng, Phys. Rev. C, 89:011301(2014)
[80]	J. Li, J. X. Wei, J. N. Hu et al, Phys. Rev. C, 88:064307(2013)
[81]	P. W. Zhao, S. Q. Zhang, J. Peng et al, Phys. Lett. B, 699:181(2011)
[82]	D. Steppenbeck, R. V. F. Janssens, S. J. Freeman et al, Phys. Rev. C, 85:044316(2012)
[83]	L. F. Yu, P. W. Zhao, S. Q. Zhang et al, Phys. Rev. C, 85:024318(2012)
[84]	J. Li, C. Y. He, Y. Zheng et al, Phys. Rev. C, 88:014317(2013)
[85]	P. W. Zhao, J. Peng, H. Z. Liang et al, Phys. Rev. Lett., 107:122501(2011)
[86]	P. W. Zhao, J. Peng, H. Z. Liang et al, Phys. Rev. C, 85:054310(2012)
[87]	X. W. Li, J. Li, J. B. Lu et al, Phys. Rev. C, 86:057305(2012)
[88]	P. Zhang, B. Qi, and S. Y. Wang, Phys. Rev. C, 89:047302(2014)
[89]	J. Peng and P. W. Zhao, Phys. Rev. C, 91:044329(2015)
[90]	J. Meng, J. Peng, S. Q. Zhang et al, Phys. Rev. C, 73:037303(2006)
[91]	I. Kuti, Q. B. Chen, J. Timr et al, Phys. Rev. Lett., 113:032501(2014)
[92]	Z. Q. Chen, S. Y.Wang, L. Liu et al, Phys. Rev. C, 91:044303(2015)
[93]	Y. F. Niu, Z. M. Niu, N. Paar et al, Phys. Rev. C, 88:034308(2013)
[94]	J. Zhao, B.N. Lu, E.G. Zhao et al, Phys. Rev. C, 86:057304(2012)
[95]	B.N. Lu, E.G. Zhao, and S.G. Zhou, Phys. Rev. C, 85:011301(2012)
[96]	B.N. Lu, J. Zhao, E.G. Zhao et al, Phys. Rev. C, 89:014323(2014)
[97]	J. Zhao, B.N. Lu, D. Vretenar et al, Phys. Rev. C, 91:014321(2015)
[98]	W. Zhang, Z. P. Li, and S. Q. Zhang, Phys. Rev. C, 88:054324(2013)
[99]	Z. X. Li, Z. H. Zhang, and P. W. Zhao, Front. Phys., 10:268(2015)
[100]	0 H. Z. Liang, N. Van Giai, and J. Meng, Phys. Rev. Lett., 101:122502(2008)
[101]	1 H. Z. Liang, N. Van Giai, and J. Meng, Phys. Rev. C, 79:064316(2009)
[102]	2 Z. M. Niu, Y. F. Niu, Q. Liu et al, Phys. Rev. C, 87:051303(2013)
[103]	3 L. S. Song, J. M. Yao, P. Ring et al, Phys. Rev. C, 90:054309(2014)
[104]	4 J. M. Yao, L. S. Song, K. Hagino et al, Phys. Rev. C, 91:024316(2015)
[105]	5 B. A. Brown, Phys. Rev. Lett., 111:162502(2013)
[106]	6 M. Wang, G. Audi, A. H. Wapstra et al, Chin. Phys. C, 36:1603(2012)
[107]	7 E. Wigner, Phys. Rev., 51:106(1937)
[108]	8 P. Van Isacker, D. D. Warner, and D. S. Brenner, Phys. Rev. Lett., 74:4607(1995)
[109]	9 S. Goriely, M. Samyn, P.H. Heenen et al, Phys. Rev. C, 66:024326(2002)
[110]	0 Y. Zhang, H. Z. Liang, and J. Meng, Int. J. Mod. Phys. E, 19:55(2010)

[1]	Ru-You Zheng , Xiang-Xiang Sun , Guo-fang Shen , Li-Sheng Geng . Evolution of N = 20, 28, 50 shell closures in the 20 ≤ Z ≤ 30 region in deformed relativistic Hartree-Bogoliubov theory in continuum. Chinese Physics C, 2024, 48(1): 014107. doi: 10.1088/1674-1137/ad0bf2
[2]	Wei-Qiang Ma , Yi-Bin Qian . Shell evolution in neutron-rich nuclei: the single particle perspective. Chinese Physics C, 2022, 46(1): 014106. doi: 10.1088/1674-1137/ac3072
[3]	Yan-Wei Zhao , Shu-Qing Guo , Hong-Fei Zhang . α particle preformation and shell effect for heavy andsuperheavy nuclei. Chinese Physics C, 2018, 42(7): 074103. doi: 10.1088/1674-1137/42/7/074103
[4]	Jing Zhang , De-Jun E , Hong-Fei Zhang . Effects of shell correction on α decay properties. Chinese Physics C, 2018, 42(9): 094101. doi: 10.1088/1674-1137/42/9/094101
[5]	Cen-Xi Yuan . Impact of off-diagonal cross-shell interaction on¹⁴C. Chinese Physics C, 2017, 41(10): 104102. doi: 10.1088/1674-1137/41/10/104102
[6]	Wei Zhang , Yi-Fei Niu . Shape evolution of ^{72, 74}Kr with temperature in covariant density functional theory. Chinese Physics C, 2017, 41(9): 094102. doi: 10.1088/1674-1137/41/9/094102
[7]	B. S. Hu , Q. Wu , F. R. Xu . Ab initio many-body perturbation theory and no-core shell model. Chinese Physics C, 2017, 41(10): 104101. doi: 10.1088/1674-1137/41/10/104101
[8]	Rui-Wang , Rui-Yao Wang , Yi-Bin Qian , Zhong-Zhou Ren . Signatures of shell evolution in alpha decay across the N=126 shell closure. Chinese Physics C, 2017, 41(6): 064103. doi: 10.1088/1674-1137/41/6/064103
[9]	Hong-Bo Bai , Zhen-Hua Zhang , Xiao-Wei Li . Investigation of the Mg isotopes using the shell-model-like approach in relativistic mean field theory. Chinese Physics C, 2016, 40(11): 114101. doi: 10.1088/1674-1137/40/11/114101
[10]	Lin-Feng Zhang , Xue-Wei Xia . Global α-decay study based on the mass table of the relativistic continuum Hartree-Bogoliubov theory. Chinese Physics C, 2016, 40(5): 054102. doi: 10.1088/1674-1137/40/5/054102
[11]	LIU Long , HUANG Yang , XU Qing , YAN Ling-Tong , LI Li , FENG Song-Lin , FENG Xiang-Qian . Attenuation correction of L-shell X-ray fluorescence computed tomography imaging. Chinese Physics C, 2015, 39(3): 038203. doi: 10.1088/1674-1137/39/3/038203
[12]	XU Feng-Jun , YANG Fu-Zhong . Off-shell superpotentials and Ooguri-Vafa invariants of type Ⅱ/F theory compactification. Chinese Physics C, 2014, 38(3): 033103. doi: 10.1088/1674-1137/38/3/033103
[13]	ZHAO Shu-Min , FENG Tai-Fu , WANG Fang , GAO Tie-Jun , ZHANG Yin-Jie . One-loop on-shell renormalization of MSSM vertexes. Chinese Physics C, 2013, 37(5): 053101. doi: 10.1088/1674-1137/37/5/053101
[14]	LIU Lang , ZHAO Peng-Wei . α-cluster structure of ¹²C and ¹⁶O in the covariant density functional theory with a shell-model-like approach. Chinese Physics C, 2012, 36(9): 818-822. doi: 10.1088/1674-1137/36/9/004
[15]	YUAN Cen-Xi , QI Chong , XU Fu-Rong . Shell-model studies of the N=14 and 16 shell closures in neutron-rich nuclei. Chinese Physics C, 2009, 33(S1): 55-57. doi: 10.1088/1674-1137/33/S1/018
[16]	ZHOU Shu-Hua . Progress in p-shell Λ hypernuclear spectroscopy. Chinese Physics C, 2009, 33(6): 497-500. doi: 10.1088/1674-1137/33/6/018
[17]	SUN Bao-Hua , LI Jian . Shell evolution at N=20 in the constrained relativistic mean field approach. Chinese Physics C, 2008, 32(11): 882-885. doi: 10.1088/1674-1137/32/11/007
[18]	Pan Feng , Dai Lianrong . Magnetic Moments of Odd a Nuclei in q-Deformed Nuclear Shell Model. Chinese Physics C, 1996, 20(S2): 197-204.
[19]	Zhang Changhua , Gu Jinnan . Shell Model Calculation for Light Neutron-Rich Nuclei. Chinese Physics C, 1996, 20(S2): 165-170.
[20]	Li Junqing , Liu Janye , Zhu Yongtai , Zhu Jieding . The Mass Drift Fluctuation and the Shell Effect in Heavy Ion Collisions. Chinese Physics C, 1988, 12(S2): 189-198.

Access

Get Citation

Xue-Wei Xia. Evolution of N=28 shell closure in relativistic continuum Hartree-Bogoliubov theory[J]. Chinese Physics C, 2016, 40(7): 074101. doi: 10.1088/1674-1137/40/7/074101

Xue-Wei Xia. Evolution of N=28 shell closure in relativistic continuum Hartree-Bogoliubov theory[J]. Chinese Physics C, 2016, 40(7): 074101. doi: 10.1088/1674-1137/40/7/074101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2015-10-16
Revised: 2016-02-22

Fund

Supported by Major State 973 Program of China (2013CB834400), National Natural Science Foundation of China (11175002, 11335002, 11375015, 11461141002) and Research Fund for Doctoral Program of Higher Education (20110001110087)

Article Metric

Article Views(1631)
PDF Downloads(206)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Evolution of N=28 shell closure in relativistic continuum Hartree-Bogoliubov theory

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Evolution of N=28 shell closure in relativistic continuum Hartree-Bogoliubov theory

Corresponding author: Xue-Wei Xia,

HTML

目录