<em>Ab initio</em> many-body perturbation theory and no-core shell model

B. S. Hu; Q. Wu; F. R. Xu

doi:10.1088/1674-1137/41/10/104101

Chinese Physics C> 2017, Vol. 41> Issue(10) : 104101 DOI: 10.1088/1674-1137/41/10/104101

Ab initio many-body perturbation theory and no-core shell model

1.
State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China

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Abstract：
In many-body perturbation theory (MBPT) we always introduce a parameter N_shell to measure the maximal allowed major harmonic-oscillator (HO) shells for the single-particle basis, while the no-core shell model (NCSM) uses N_max hΩ HO excitation truncation above the lowest HO configuration for the many-body basis. It is worth comparing the two different methods. Starting from "bare" and Okubo-Lee-Suzuki renormalized modern nucleon-nucleon interactions, NNLO_opt and JISP16, we show that MBPT within Hartree-Fock bases is in reasonable agreement with NCSM within harmonic oscillator bases for ⁴He and ¹⁶O in "close" model space. In addition, we compare the results using "bare" force with the Okubo-Lee-Suzuki renormalized force.
- MBPT ,
- NCSM ,
- Okubo-Lee-Suzuki ,
- nuclear force

References

[1]	P. Navrtil and B. R. Barrett. Phys. Rev. C, 57:562-568 (1998)
[2]	P. Navrtil, J. P. Vary and B. R. Barrett. Phys. Rev. Lett., 84:5728-5731 (2000)
[3]	B. R. Barrett, P. Navrtil and J. P. Vary. Progress in Particle and Nuclear Physics, 69(0):131-181 (2013)
[4]	S. C. Pieper, V. R. Pandharipande, R. B. Wiringa and J. Carlson. Phys. Rev. C, 64:014001 (2001)
[5]	S. C. Pieper, R. B. Wiringa and J. Carlson. Phys. Rev. C, 70:054325 (2004)
[6]	M. Pervin, S. C. Pieper and R. B. Wiringa. Phys. Rev. C, 76:064319 (2007)
[7]	L. E. Marcucci, M. Pervin, S. C. Pieper, R. Schiavilla and R. B. Wiringa. Phys. Rev. C, 78:065501 (2008)
[8]	G. Hagen, T. Papenbrock, D. J. Dean and M. Hjorth-Jensen. Phys. Rev. Lett., 101:092502 (2008)
[9]	G. Hagen, T. Papenbrock and D. J. Dean. Phys. Rev. Lett., 103:062503 (2009)
[10]	G. Hagen, T. Papenbrock, D. J. Dean and M. Hjorth-Jensen. Phys. Rev. C, 82:034330 (2010)
[11]	R. Roth and P. Navrtil. Phys. Rev. Lett., 99:092501 (2007)
[12]	M. K. G. Kruse, E. D. Jurgenson, P. Navrtil, B. R. Barrett and W. E. Ormand. Phys. Rev. C, 87:044301 (2013)
[13]	L. Coraggio, N. Itaco, A. Covello, A. Gargano and T. T. S. Kuo. Phys. Rev. C, 68:034320 (2003)
[14]	Hasan, A. Mahmoud, J. P. Vary and P. Navrtil. Phys. Rev. C, 69:034332 (2004)
[15]	R. Roth, P. Papakonstantinou, N. Paar, H. Hergert, T. Neff and H. Feldmeier. Phys. Rev. C, 73:044312 (2006)
[16]	F. R. WANG, X. F. MENG, Y. A. LUO and F. PAN. Chinese physics C, 32(S2):109 (2008)
[17]	F. Pan, V. G. Gueorguiev and J. P. Draayer. Phys. Rev. Lett., 92:112503 (2004)
[18]	S. G. Zhou, C. K. Zheng and J. M. Hu. Chinese physics C, 22(12):1143 (1998)
[19]	Z. Z. Ren and G. O. Xu. Chinese physics C, 19(11):1029 (1995)
[20]	S. G. Zhou, F. R. Xu, C. K. Zheng and J. M. Hu. Chinese physics C, 23(08):803 (1999)
[21]	Y. M. Zhao, J. Q. Chen and B. Q. Chen. Chinese physics C, 21(04):356 (1997)
[22]	Y. M. Zhao and A. Arima. Physics Reports, 545(1):1-45 (2014)
[23]	A. Ekstrm, G. Baardsen, C. Forssn, G. Hagen, M. HjorthJensen, G. R. Jansen, R. Machleidt, W. Nazarewicz, T. Papenbrock, J. Sarich and S. M. Wild. Phys. Rev. Lett., 110:192502 (2013)
[24]	A. M. Shirokov, A. I. Mazur, S. A. Zaytsev, J. P. Vary and T. A. Weber. Phys. Rev. C, 70:044005 (2004)
[25]	A. Shirokov, J. Vary, A. Mazur, S. Zaytsev and T. Weber. Physics Letters B, 621(1-2):96-101 (2005)
[26]	A. Shirokov, J. Vary, A. Mazur and T. Weber. Physics Letters B, 644(1):33-37 (2007)
[27]	I. Stetcu, B. Barrett and U. van Kolck. Physics Letters B, 653(2-4):358-362 (2007)
[28]	R. J. Furnstahl, G. Hagen and T. Papenbrock. Phys. Rev. C, 86:031301 (2012)
[29]	S. A. Coon, M. I. Avetian, M. K. G. Kruse, U. van Kolck, P. Maris and J. P. Vary. Phys. Rev. C, 86:054002 (2012)
[30]	S. kubo. Progress of Theoretical Physics, 12(5):603-622 (1954)
[31]	K. Suzuki and S. Y. Lee. Progress of Theoretical Physics, 64(6):2091-2106 (1980)
[32]	K. Suzuki. Progress of Theoretical Physics, 68(1):246-260 (1982)
[33]	K. Suzuki and R. Okamoto. Progress of Theoretical Physics, 70(2):439-451 (1983)
[34]	K. Suzuki. Progress of Theoretical Physics, 68(6):1999-2013 (1982)
[35]	K. Suzuki and R. Okamoto. Progress of Theoretical Physics, 92(6):1045-1080 (1994)
[36]	P. Navrtil and E. Caurier. Phys. Rev. C, 69:014311 (2004)
[37]	R. Machleidt. Phys. Rev. C, 63:024001 (2001)
[38]	V. G. J. Stoks, R. A. M. Klomp, C. P. F. Terheggen and J. J. de Swart. Phys. Rev. C, 49:2950-2962 (1994)
[39]	R. B. Wiringa, V. G. J. Stoks and R. Schiavilla. Phys. Rev. C, 51:38-51 (1995)
[40]	P. Doleschall. Phys. Rev. C, 69:054001 (2004)
[41]	D. R. Entem and R. Machleidt. Phys. Rev. C, 68:041001 (2003)
[42]	R. Machleidt and D. Entem. Physics Reports, 503(1):1-75 (2011)
[43]	K. A. Brueckner. Phys. Rev., 97:1353-1366 (1955)
[44]	J. Goldstone. Proc. R. Soc. Lond. A, 239:267-279 (1957)
[45]	H. A. Bethe, B. H. Brandow and A. G. Petschek. Phys. Rev., 129:225-264 (1963)
[46]	S. Bogner, T. T. S. Kuo, L. Coraggio, A. Covello and N. Itaco. Phys. Rev. C, 65:051301 (2002)
[47]	S. Bogner, T. Kuo and A. Schwenk. Physics Reports, 386(1):1-27 (2003)
[48]	S. K. Bogner, R. J. Furnstahl and R. J. Perry. Phys. Rev. C, 75:061001 (2007)
[49]	R. Roth, H. Hergert, P. Papakonstantinou, T. Neff and H. Feldmeier. Phys. Rev. C, 72:034002 (2005)
[50]	R. Roth, T. Neff and H. Feldmeier. Progress in Particle and Nuclear Physics, 65(1):50-93 (2010)
[51]	B. S. Hu, F. R. Xu, Z. H. Sun, J. P. Vary and T. Li. Phys. Rev. C, 94:014303 (2016)
[52]	C. Constantinou, M. A. Caprio, J. P. Vary and P. Maris (2016)
[53]	J. W. Negele. Phys. Rev. C, 1:1260-1321 (1970)

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B. S. Hu, Q. Wu and F. R. Xu. Ab initio many-body perturbation theory and no-core shell model[J]. Chinese Physics C, 2017, 41(10): 104101. doi: 10.1088/1674-1137/41/10/104101

B. S. Hu, Q. Wu and F. R. Xu. Ab initio many-body perturbation theory and no-core shell model[J]. Chinese Physics C, 2017, 41(10): 104101. doi: 10.1088/1674-1137/41/10/104101 shu

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Received: 2017-05-16

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Supported by National Key Basic Research Program of China (2013CB834402), National Natural Science Foundation of China (11235001, 11320101004, 11575007) and the CUSTIPEN (China-U.S. Theory Institute for Physics with Exotic Nuclei) funded by the U.S. Department of Energy, Office of Science (DE-SC0009971)

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沈阳化工大学材料科学与工程学院沈阳 110142

Ab initio many-body perturbation theory and no-core shell model

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