Impact of off-diagonal cross-shell interaction on<sup>14</sup>C

Cen-Xi Yuan

doi:10.1088/1674-1137/41/10/104102

Chinese Physics C> 2017, Vol. 41> Issue(10) : 104102 DOI: 10.1088/1674-1137/41/10/104102

Impact of off-diagonal cross-shell interaction on¹⁴C

Cen-Xi Yuan ^,

1.
Sino-French Institute of Nuclear Engineering and Technology, Sun Yat-Sen University, Zhuhai 519082, China

Abstract
HTML
Reference
Related

PDF

Abstract：
A shell-model investigation is performed to show the impact on the structure of ¹⁴C from the off-diagonal cross-shell interaction, 〈pp|V|sdsd〉, which represents the mixing between the 0 and 2hω configurations in the psd model space. The observed levels of the positive states in ¹⁴C can be nicely described in 0-4hω or a larger model space through the well defined Hamiltonians, YSOX and WBP, with a reduction of the strength of the 〈pp|V|sdsd〉 interaction in the latter. The observed B(GT) values for ¹⁴C can be generally described by YSOX, while WBP and their modifications of the 〈pp|V|sdsd〉 interaction fail for some values. Further investigation shows the effect of such interactions on the configuration mixing and occupancy. The present work shows examples of how the off-diagonal cross-shell interaction strongly drives the nuclear structure.
- shell model ,
- off-diagonal cross-shell interaction ,
- psd region ,
- 14C ,
- levels ,
- transition rates

References

[1]	I. Talmi, Adv. Nucl. Phys., 27:1(2003)
[2]	M. Hjorth-Jensen, T. T. S. Kuo, and E. Osnes, Phys. Rep., 261:125(1995)
[3]	L. Coraggio, A. Covello, A. Gargano, N. Itaco, and T. T. S. Kuo, Porquet, Prog. Part. Nucl. Phys., 62:135(2009)
[4]	K. Takayanagi, Nucl. Phys. A, 852:61(2011)
[5]	K. Takayanagi, Nucl. Phys. A, 864:91(2011)
[6]	N. Tsunoda, K. Takayanagi, M. Hjorth-Jensen, and T. Otsuka, Phys. Rev. C, 89:024313(2014)
[7]	N. Tsunoda, T. Otsuka, N. Shimizu, M. Hjorth-Jensen, K. Takayanagi, and T. Suzuki, arXiv:1601.06442(2016)
[8]	S. Cohen and D. Kurath, Nucl. Phys., 73:1(1965)
[9]	B. H. Wildenthal, Prog. Part. Nucl. Phys., 11:5(1984); B. A. Brown and B. H. Wildenthal, Annu. Rev. Nucl. Part. Sci., 38:29(1988)
[10]	B. A. Brown and W. A. Richter, Phys. Rev. C, 74:034315(2006)
[11]	M. Honma, T. Otsuka, B. A. Brown, and T. Mizusaki, Phys. Rev. C, 65:061301(2002)
[12]	D. J. Millener et al, Nucl. Phys. A, 255:315(1975)
[13]	E. K. Warburton and B. A. Brown, Phys. Rev. C, 46:923(1992)
[14]	T. Suzuki, R. Fujimoto, and T. Otsuka, Phys. Rev. C, 67:044302(2003)
[15]	Y. Utsuno, T. Otsuka, T. Mizusaki, and M. Honma, Phys. Rev. C, 60:054315(1999)
[16]	J. Duflo and A. P. Zuker, Phys Rev. C, 52:R23(1995)
[17]	T. Otsuka, R. Fujimoto, Y. Utsuno, B. A. Brown, M. Honma, and T. Mizusaki, Phys. Rev. Lett., 87:082502(2001)
[18]	T. Otsuka, T. Suzuki, R. Fujimoto, H. Grawe, and Y. Akaishi, Phys. Rev. Lett., 95:232502(2005)
[19]	T. Otsuka, T. Suzuki, M. Honma, Y. Utsuno, N. Tsunoda, K. Tsukiyama, and M. Hjorth-Jensen, Phys. Rev. Lett., 104:012501(2010)
[20]	A. Poves, E. Caurier, F. Nowacki, and K. Sieja, Phys. Scr., T150:014030(2012); E. Caurier, F. Nowacki, and A. Poves, Phys Rev. C, 90:014302(2014)
[21]	K. D. Launey, J. P. Draayer, T. Dytrych, G. H. Sun, and S. H. Dong, Int. J. Mod. Phys. E, 24:1530005(2015)
[22]	T. Dytrych, K. D. Sviratcheva, C. Bahri, and J. P. Draayer, Phys. Rev. Lett., 98:162503(2007)
[23]	T. Dytrych, et al, Phys. Rev. Lett., 111:252501(2013)
[24]	J. P. Draayer, T. Dytrych, K. D. Launey, and D. Langr, Prog. Part. Nucl. Phys., 67:516(2012)
[25]	A. C. Dreyfuss, K. D. Launey,T. Dytrych, J. P.Draayer, and C. Bahric, Phys. Lett. B, 727:511(2013)
[26]	G. K. Tobin, et al, Phys. Rev. C, 89:034312(2014)
[27]	C. Yuan, T. Suzuki, T. Otsuka, F. R. Xu, and N. Tsunoda, Phys. Rev. C, 85:064324(2012)
[28]	S. Aroua et al, Nucl. Phys. A, 720:71(2003)
[29]	J. W. Holt, G. E. Brown, T. T. S. Kuo, J. D. Holt, and R. Machleidt, Phys. Rev. Lett., 100:062501(2008)
[30]	J. W. Holt, N. Kaiser, and W. Weise, Phys. Rev. C, 79:054331(2009)
[31]	P. Maris et al, Phys. Rev. Lett., 106:202502(2011)
[32]	A. Ekstrm et al, Phys. Rev. Lett., 113:262504(2014)
[33]	Y. Kanada-En'yo and T. Suhara, Phys. Rev. C, 89:044313(2014)
[34]	C. X. Yuan, M. Zhang, N. W. Lan, Y. J. Fang, Nucl. Phys. Rev., 33(2):246(2016)
[35]	H. T. Fortune, Phys. Rev. C, 84:054312(2011)
[36]	H. T. Fortune, Phys. Rev. C, 89:067302(2014)
[37]	B. A. Brown, Prog. Part. Nucl. Phys., 47:517(2001)
[38]	E. Caurier, G. Martnez-Pinedo, F. Nowacki, A. Poves, and A.P. Zuker, Rev. Mod. Phys., 77:427(2005)
[39]	G. Bertsch, J. Borysowicz, H. McManus, and W. G. Love, Nucl. Phys. A, 284:399(1977)
[40]	N. Tsunoda, T. Otsuka, K. Tsukiyama, and M. Hjorth-Jensen, Phys. Rev. C, 84:044322(2011)
[41]	Y. Utsuno, T. Otsuka, B. A. Brown, M. Honma, T. Mizusaki, and N. Shimizu, Phys Rev. C, 86:051301(R) (2012)
[42]	Y. Utsuno, N. Shimizu, T. Otsuka, T. Yoshida, and Y. Tsunoda, Phys. Rev. Lett., 114:032501(2015)
[43]	T. Togashi, N. Shimizu, Y. Utsuno, T. Otsuka, and M. Honma, Phys Rev. C, 91:024320(2015)
[44]	C. Yuan, C. Qi, F. R. Xu, T. Suzuki, and T. Otsuka, Phys Rev. C, 89:044327(2014)
[45]	C. Yuan, et al, Phys. Lett. B, 762:237(2016)
[46]	M. W. Kirson, Phys. Lett. B, 47:110(1973); I. Kakkar and Y. R. Waghmare, Phys. Rev. C, 2:1191(1970); K. Klingenbeck, W. Knpfer, M. G. Huber, and P. W. M. Glaudemans, Phys. Rev. C, 15:1483(1977)
[47]	N. Shimizu, arXiv:1310.5431(2013)
[48]	D. H. Gloeckner and R. D. Lawson, Phys. Lett. B, 53:313(1974)
[49]	M. S. Fayache, L. Zamick, and H. Mther, Phys Rev. C, 60:067305(1999)
[50]	B. R. Barrett, P. Navratil, and J. P. Vary, Prog. Part. Nucl. Phys., 69:131(2013)
[51]	A. Negret, et al, Phys. Rev. Lett., 97:062502(2006)
[52]	S. Raman, C. W. Nestor JR., and P. Tikkanen, At. Data Nucl. Data Tabl., 78:1(2001)
[53]	F. Ajzenberg-Selove, Nucl. Phys. A, 523:1(1991)
[54]	A. C. Hayes et al, Phys. Rev. C, 37:1554(1988)
[55]	H. T. Fortune, Phys. Rev. C, 94:024345(2016)
[56]	T. Otsuka, M. Honma, T. Mizusaki, N. Shimizu, and Y. Utsuno Prog. Part. Nucl. Phys., 47:319(2001)
[57]	C. Yuan, C. Qi, and F.R. Xu, Nucl. Phys. A, 883:25(2012)
[58]	C. Yuan, Phys. Rev. C, 93:034310(2016)

[1]	Rui Guo , Li-Hua Zhu , Jing-Bin Lu , Guan-Jian Fu , Meng Wang , Bao-Hua Sun , Gao-Long Zhang , Zhen Ren , Yi-Heng Wu , Yun Zheng , Chuang-Ye He , Jin-Long Wang , Xiao-Guang Wu , Shun-He Yao . Investigating the level structure of ²⁰⁶Rn: evolution from seniority regime to collective dynamics. Chinese Physics C, 2024, 48(11): 114001. doi: 10.1088/1674-1137/ad666a
[2]	Bo-Shuai Cai , Guang-Shang Chen , Cen-Xi Yuan , Jian-Jun He . Shell-model study on properties of proton dripline nuclides with Z, N = 30–50 including uncertainty analysis. Chinese Physics C, 2022, 46(8): 084104. doi: 10.1088/1674-1137/ac6cd7
[3]	Xiao-Bao Wang , Yu-Hang Meng , Ya Tu , Guo-Xiang Dong . The structure of neutron-rich calcium isotopes studied by the shell model with realistic effective interactions. Chinese Physics C, 2019, 43(12): 124106. doi: 10.1088/1674-1137/43/12/124106
[4]	Hong-Liang Zang , Yan-Lin Ye , Zhi-Huan Li , Jian-Song Wang , Jian-Ling Lou , Qi-Te Li , Yu-Cheng Ge , Xiao-Fei Yang , Jing Li , Wei Jiang , Jun Feng , Qiang Liu , Biao Yang , Zhi-Qiang Chen , Yang Liu , Hong-Yi Wu , Chen-Yang Niu , Chen-Guang Li , Chun-Guang Wang , Xiang Wang , Wei Liu , Jian Gao , Han-Zhou Yu , Jun-Bin Ma , Peng Ma , Zhen Bai , Yan-Yun Yang , Shi-Lun Jin , Fei Lu . Investigation of the near-threshold cluster resonance in ¹⁴C. Chinese Physics C, 2018, 42(7): 074003. doi: 10.1088/1674-1137/42/7/074003
[5]	Xiao-Bao Wang , Guo-Xiang Dong , Hua-Lei Wang , Cen-Xi Yuan , Yong-Jing Chen , Ya Tu . Many-body correlations in shell model effective interactions derived by ab initio methods and the V_low-k approach. Chinese Physics C, 2018, 42(11): 114103. doi: 10.1088/1674-1137/42/11/114103
[6]	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
[7]	Z. Y. Tian , Y. L. Ye , Z. H. Li , C. J. Lin , Q. T. Li , Y. C. Ge , J. L. Lou , W. Jiang , J. Li , Z. H. Yang , J. Feng , P. J. Li , J. Chen , Q. Liu , H. L. Zang , B. Yang , Y. Zhang , Z. Q. Chen , Y. Liu , X. H. Sun , J. Ma , H. M. Jia , X. X. Xu , L. Yang , N. R. Ma , L. J. Sun . Cluster decay of the high-lying excited states in ¹⁴C. Chinese Physics C, 2016, 40(11): 111001. doi: 10.1088/1674-1137/40/11/111001
[8]	LIU Lang . Ab initio Monte Carlo shell model calculations for ⁷Li and ⁹Li low-lying spectra. Chinese Physics C, 2015, 39(6): 064101. doi: 10.1088/1674-1137/39/6/064101
[9]	ZHI Qi-Jun , YU Yan , ZHENG Qiang . Theoretical investigation of the Gamow-Teller transition across N=40 shell. Chinese Physics C, 2011, 35(11): 1022-1025. doi: 10.1088/1674-1137/35/11/008
[10]	WANG Fu-Yong , LI Lei , LUO Yan-An . Structure of the even-even ^78－84Kr isotopes within SD-pair shell model. Chinese Physics C, 2010, 34(2): 270-273. doi: 10.1088/1674-1137/34/2/023
[11]	ZANG Jin-Fu , LÜ Li-Jun . Low-lying spectra and E2 transition rates in ^160-170Er isotopes in the interaction boson model. Chinese Physics C, 2009, 33(S1): 27-29. doi: 10.1088/1674-1137/33/S1/009
[12]	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
[13]	QI Chong , XU Fu-Rong . Shell-model studies of isomeric states in ^51,52,53Fe. Chinese Physics C, 2008, 32(S2): 112-115.
[14]	WANG Fu-Rong , MENG Xiang-Fei , LUO Yan-An , PAN Feng . Projected SD-pair shell model study for even-even Xe isotopes. Chinese Physics C, 2008, 32(S2): 109-111.
[15]	LIU Zu-Hua . Neutron Halo of the Excited States in ¹⁴C. Chinese Physics C, 2003, 27(2): 135-137.
[16]	Zhang Changhua , Gu Jinnan . Nuclear Structure of Nuclei in Lead Region (II) Non-Unique First-Forbidden β Decays of Nuclei ²⁰⁸Tl,²⁰⁸Pb,and ^206-208Hg. Chinese Physics C, 1997, 21(S4): 27-32.
[17]	Zhang Changhua , Gu Jinnan . Structure of Nuclei in Lead Region (I) Spectra of ^207-210Tl and ^207,208Hg. Chinese Physics C, 1997, 21(S3): 71-78.
[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]	Lin Chunzhen , Wu Chongshi , Zeng Jinyan . Seniority and K-Structure of the Cranked Shell Model Wave Function (I) Even-Even Nuclei. Chinese Physics C, 1988, 12(S4): 415-424.

Access

Get Citation

Cen-Xi Yuan. Impact of off-diagonal cross-shell interaction on¹⁴C[J]. Chinese Physics C, 2017, 41(10): 104102. doi: 10.1088/1674-1137/41/10/104102

Cen-Xi Yuan. Impact of off-diagonal cross-shell interaction on¹⁴C[J]. Chinese Physics C, 2017, 41(10): 104102. doi: 10.1088/1674-1137/41/10/104102 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-03-27
Revised: 2017-06-26

Fund

Supported by National Natural Science Foundation of China (11305272), Special Program for Applied Research on Super Computation of the NSFC Guangdong Joint Fund (the second phase), the Guangdong Natural Science Foundation (2014A030313217), the Pearl River ST Nova Program of Guangzhou (201506010060), the Tip-top Scientific and Technical Innovative Youth Talents of Guangdong special support program (2016TQ03N575), and the Fundamental Research Funds for the Central Universities (17lgzd34)

Article Metric

Article Views(1752)
PDF Downloads(31)
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

Impact of off-diagonal cross-shell interaction on¹⁴C

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Impact of off-diagonal cross-shell interaction on¹⁴C

Corresponding author: Cen-Xi Yuan,

HTML

目录

Impact of off-diagonal cross-shell interaction on14C

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Impact of off-diagonal cross-shell interaction on14C

Corresponding author: Cen-Xi Yuan,

HTML

目录

Impact of off-diagonal cross-shell interaction on¹⁴C

Impact of off-diagonal cross-shell interaction on¹⁴C