Chinese Physics C > 2018, Vol. 42 > Issue(6): 064106 DOI: 10.1088/1674-1137/42/6/064106

Global analysis of Skyrme forces with higher-order density dependencies

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State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China

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Abstract：
The density-dependent term in Skyrme forces is essential to simulate three-body and many-body correlations beyond the low-momentum two-body interaction. We speculate that a single density term may be insufficient and a higher-order density dependent term is added. The present work investigates the influence of higher-order density dependencies based on extended UNEDF0 and SkM ^*forces. Global descriptions of nuclear masses and charge radii are presented. The extended UNEDF0 force gives a global rms error on binding energies of 1.29 MeV. The influence on fission barriers and equation of state are also investigated. Perspectives to improve Skyrme forces are discussed, including global center-of-mass corrections and Lipkin-Nogami pairing corrections.
- Skyrme forces,
- nuclear masses,
- nuclear energy density functional

References

[1]	T. H. R. Skyrme, Phil. Mag., 1: 1043 (1956)
[2]	J. W. Negele, Rev. Mod. Phys., 54: 913 (1982)
[3]	M. Bender, P.-H. Heenen, and P.-G. Reinhard, Rev. Mod. Phys., 75: 121 (2003)
[4]	K. Huang and C. N. Yang, Phys. Rev., 105: 767 (1957); T. D. Lee and C. N. Yang, Phys. Rev., 105: 1119 (1957); P. Martin and C. De Dominicis, Phys. Rev., 105: 1417 (1957)
[5]	R. J. Furnstahl, Lecture Notes in Physics, Vol.852, 133 (Springer-Verlag, 2012)
[6]	X. Y. Xiong, J. C. Pei, and W. J. Chen, Phys. Rev. C, 93:024311 (2016)
[7]	E. Chabanat, P. Bonche, P. Haensel, J. Meyer, and R. Schaeffer, Nucl. Phys. A, 635: 231 (1998)
[8]	M. Kortelainen, T. Lesinski, J. More, W. Nazarewicz, J. Sarich, N. Schunck, M. V. Stoitsov, and S. Wild, Phys. Rev. C, 82:024313 (2010)
[9]	M. Kortelainen, J. McDonnell, W. Nazarewicz, P.-G. Reinhard, J. Sarich, N. Schunck, M. V. Stoitsov, and S. M. Wild, Phys. Rev. C, 85: 024304 (2012)
[10]	M. Kortelainen, J. McDonnell, W. Nazarewicz, E. Olsen, P.-G. Reinhard, J. Sarich, N. Schunck, S. M. Wild, D. Davesne, J. Erler, and A. Pastore, Phys. Rev. C, 89: 054314 (2014)
[11]	S. V. Tolokonnikov, I. N. Borzov, M. Kortelainen, Yu. S. Lutostansky, and E. E. Saperstein, J. Phys. G, 42: 075102 (2015)
[12]	M. Baldo, L. M. Robledo, P. Schuck, and X. Vinas, Phys. Rev. C, 87: 064305(2013)
[13]	A. Bulgac, M. M. Forbes, S. Jin, R. N. Perez, and N. Schunck, arXiv:1708.08771
[14]	J. R. Stone, P. A. M. Guichon, P. G. Reinhard, and A. W. Thomas, Phys. Rev. Lett., 116: 092501 (2016)
[15]	S. Goriely, S. Hilaire, M. Girod, and S. Peru, Phys. Rev. Lett., 102: 242501 (2009)
[16]	S. Goriely, N. Chamel, and J. M. Pearson, Phys. Rev. C, 88:024308 (2013)
[17]	P. W. Zhao, Z. P. Li, J. M. Yao, and J. Meng, Phys. Rev. C, 82: 054319 (2010)
[18]	J.D. McDonnell, N. Schunck, D. Higdon, J. Sarich, S.M. Wild, and W. Nazarewicz, Phys. Rev. Lett., 114: 122501 (2015)
[19]	M. Grasso, D. Lacroix, and U. van Kolck, Phys. Scr., 91:063005 (2016)
[20]	J. Dobaczewski, J. Phys. G, 43: 04LT01 (2016)
[21]	T. Duguet, M. Bender, J. -P. Ebran, T. Lesinski, and V. Soma, Eur. Phys. J. A, 51: 162 (2015)
[22]	M. Stoitsov, M. Kortelainen, S. K. Bogner, T. Duguet, R. J. Furnstahl, B. Gebremariam, and N. Schunck, Phys. Rev. C, 82: 054307 (2010)
[23]	P. Ring and P. Schuck, The nuclear many-body problem, (Springer, Berlin), 1980
[24]	C. Yannouleas and U.Landman, Rep. Prog. Phys., 70: 2067 (2007)
[25]	K. Q. Lu, Z. X. Li, Z. P. Li, J. M. Yao, and J. Meng, Phys. Rev. C, 91: 027304 (2015)
[26]	P. Klupfel, J.Erler, P.-G.Reinhard, and J. A. Maruhn, Eur. Phys. J. A, 37: 343 (2008)
[27]	M. Waroquier, J. Sau, and K. Heyde, Phys. Rev. C, 19: 1640 (1983)
[28]	A. K. Dutta, J. -P.Arcoragi, J. M. Pearson, R. Behrman, and F. Tondeur, Nucl. Phys. A, 458: 77 (1986)
[29]	Michel Farine, J. M. Pearson, and F. Tondeur, Nucl. Phys. A, 615: 135 (1997)
[30]	T. Lesinski, K. Bennaceur, T. Duguet, and J. Meyer, Phys. Rev. C, 74: 044315 (2006)
[31]	B. Cochet, K. Bennaceur, P. Bonche, T. Duguet, and J. Meyer, Nucl. Phys. A, 731: 34 (2004)
[32]	B. K. Agrawal, Shashi K. Dhiman, and Raj Kumar, Phys. Rev. C, 73: 034319 (2006)
[33]	J. Bartel, P. Quentin, M. Brack, C. Guet, and H. B. Hakansson, Nucl. Phys. A, 386: 79 (1982)
[34]	A. Staszczak, A. Baran, and W. Nazarewicz, Phys. Rev. C, 87:024320 (2013)
[35]	P.-G. Reinhard, computer code SKYAX (unpublished)
[36]	J. Dobaczewski, W. Nazarewicz, and M. V. Stoitsov, Eur. Phys. J. A, 15: 21 (2002)
[37]	M. Bender, K. Rutz, P.-G. Reinhard, and J. A. Maruhn, Eur. Phys. J. A, 8: 59 (2000)
[38]	C.-J. Yang, M. Grasso, and D. Lacroix, Phys. Rev. C, 96:034318 (2017)
[39]	J. R. Stone, P.-G. Reinhard, Prog. Part. Nucl. Phys., 58: 587 (2007)
[40]	B. K. Agrawal, S. Shlomo, and V. Kim Au, Phys. Rev. C, 72:014310 (2005)
[41]	G. Audi, M. Wang, A. H. Wapstra, F. G. Kondev, M. MacCormick, X. Xu, and B. Pfeifier, Chin. Phys. C, 36: 1287 (2012)
[42]	M. Stoitsov, R. B. Cakirli, R. F. Casten, W. Nazarewicz, and W. Satula, Phys. Rev. Lett., 98: 132502 (2007)
[43]	B.-N. Lu, E.-G. Zhao, and S.-G. Zhou, Phys. Rev. C, 85: 011301(R) (2012)
[44]	B.-N. Lu, J. Zhao, E.-G. Zhao, and S.-G. Zhou, Phys. Rev. C, 89: 014323 (2014)
[45]	B. Singh, R. Zywina, and R. B. Firestone, Nucl. Data Sheets, 97: 241 (2002)
[46]	S. Karatzikos, A. V. Afanasjev, G. A. Lalazissis, and P. Ring, Phys. Lett. B, 689: 72 (2010)
[47]	R. F. Garcia Ruiz et al, Nature Physics, 12: 594 (2016)
[48]	I. Angeli, K. P. Marinova, At. Data. Nucl. Data. Tab., 99: 69 (2013)
[49]	Z. G. Xiao, B. A. Li, L. W.Chen, G. C.Yong, and M. Zhang, Phys. Rev. Lett., 102: 062502 (2009)
[50]	P. Maris, J. P. Vary, and A. M. Shirokov, Phys. Rev. C, 79:014308 (2009)
[51]	M. Bender, K. Rutz, P.-G. Reinhard, and J.A. Maruhn, Eur. Phys. J. A, 7: 467 (2000)
[52]	P.-G. Reinhard, M. Bender, W. Nazarewicz, and T. Vertse, Phys. Rev. C, 73: 014309 (2006)
[53]	R. Jodon, M. Bender, K. Bennaceur, and J. Meyer, Phys. Rev. C, 94: 024335 (2016)
[54]	K. Pomorski and J. Dudek, Phys. Rev. C, 67: 044316 (2003)
[55]	M. Durand, P. Schuck, X. Vinas, Z. Phys. A, 346: 87 (1993)
[56]	N. Nikolov, N. Schunck, W. Nazarewicz, M. Bender, and J. Pei, Phys. Rev. C, 83: 034305 (2011)
[57]	H. J. Lipkin, Ann. Phys., 9: 272 (1960)
[58]	Y. Nogami, Phys. Rev., 134: B313 (1964)
[59]	M. Samyn, S. Goriely, M. Bender, and J. M. Pearson, Phys. Rev. C, 70: 044309 (2004)
[60]	S. Goriely, M. Samyn, and J. M. Pearson, Phys. Rev. C, 75:064312 (2007)

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Zhi-Wei Zuo, Jun-Chen Pei, Xue-Yu Xiong and Yi Zhu. Global analysis of Skyrme forces with higher-order density dependencies[J]. Chinese Physics C, 2018, 42(6): 064106. doi: 10.1088/1674-1137/42/6/064106

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Received: 2018-02-08

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沈阳化工大学材料科学与工程学院沈阳 110142

Global analysis of Skyrme forces with higher-order density dependencies

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Global analysis of Skyrme forces with higher-order density dependencies

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