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

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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)

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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

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

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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)

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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

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Impact of off-diagonal cross-shell interaction on¹⁴C

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Impact of off-diagonal cross-shell interaction on14C

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Impact of off-diagonal cross-shell interaction on14C

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Impact of off-diagonal cross-shell interaction on¹⁴C

Impact of off-diagonal cross-shell interaction on¹⁴C