<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

Abstract
HTML
Reference
Related

PDF

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)

[1]	Chencan Wang , Jinniu Hu , Ying Zhang , Hong Shen . The charge-dependent Bonn potentials with pseudovector pion-nucleon coupling. Chinese Physics C, 2019, 43(11): 114107. doi: 10.1088/1674-1137/43/11/114107
[2]	Yao-Yao Zong , Bao-Yuan Sun . Relativistic interpretation of the nature of the nuclear tensor force. Chinese Physics C, 2018, 42(2): 024101. doi: 10.1088/1674-1137/42/2/024101
[3]	WANG Pei , ZUO Wei . Effect of tensor force on the density dependence of symmetryenergy within the BHF framework. Chinese Physics C, 2015, 39(1): 014101. doi: 10.1088/1674-1137/39/1/014101
[4]	ANG Pei , ZUO Wei . Three-body force effect on the properties of nuclear matter underthe gap and continuous choices within the BHF approach. Chinese Physics C, 2014, 38(8): 084102. doi: 10.1088/1674-1137/38/8/084102
[5]	HAN Yi-Wen , BAO Zhi-Qing , HONG Yun . Unruh-Verlinde temperature and energy of (2+1)-dimensional matter coupled black hole via entropic force. Chinese Physics C, 2011, 35(7): 612-615. doi: 10.1088/1674-1137/35/7/003
[6]	CHENG Hong-Bo . Casimir force on a piston at finite temperature in Randall-Sundrum models. Chinese Physics C, 2011, 35(12): 1084-1094. doi: 10.1088/1674-1137/35/12/002
[7]	ZOU Wen-Hua , TIAN Yuan , SHEN Shui-Fa , GU Jian-Zhong , PENG Bang-Bao , ZHANG Di-Da , MA Zhong-Yu . Nuclear structure around ⁸⁰Zr. Chinese Physics C, 2010, 34(1): 56-61. doi: 10.1088/1674-1137/34/1/010
[8]	D. Gamermann , C. Garcia-Recio , R. Molina , J. Nieves , E. Oset , A. Ramos . Charmed hadrons in nuclear medium. Chinese Physics C, 2010, 34(9): 1335-1338. doi: 10.1088/1674-1137/34/9/036
[9]	ZOU Fan-Yong , CHEN Xiao-Lin , DENG Wei-Zhen . Three-body force and the tetraquark interpretation of light scalar mesons. Chinese Physics C, 2008, 32(7): 515-520. doi: 10.1088/1674-1137/32/7/002
[10]	LIU Yan-Rui , ZHU Shi-Lin . Δ contribution to the parity-violating nucleon-nucleon force. Chinese Physics C, 2008, 32(9): 700-704. doi: 10.1088/1674-1137/32/9/005
[11]	CUI Chang-Xi , ZUO Wei . Superfluidity in neutron matter and symmetric nuclear matter and the effect of a microscopic three-body force. Chinese Physics C, 2008, 32(S2): 73-76.
[12]	Cheng Lan , Huang Weizhi , Zhou Baosen . Validity of the M-3Y Force Equivalent G-Matrix Elements for Heavy Nuclei. Chinese Physics C, 1996, 20(S1): 107-112.
[13]	Zheng Taiyu , Li Changsong . Massive Fermion Loop Contribution to Casimir Force in Two-Dimensional Case. Chinese Physics C, 1996, 20(S1): 55-59.
[14]	Jiang Huangqing , Zhang Weifeng . η_c-Nuclear Bound States. Chinese Physics C, 1993, 17(S3): 297-301.
[15]	Hu Jimin , An Yu . Nuclear Macro-Microscopic Model. Chinese Physics C, 1992, 16(S3): 339-342.
[16]	XU Xiao-Ming , QIU Xi-Jun . A CHIRAL QUARK-SOLITON MODEL FOR NUCLEAR FORCE. Chinese Physics C, 1990, 14(9): 810-816.
[17]	Xu Xiaoming , Qiu Xijun . A Chiral Quark-Soliton Model Theory for Nuclear Force. Chinese Physics C, 1990, 14(S4): 381-389.
[18]	Wu Chongshi , Zeng Jinyan . Nuclear Pairing Phase Transition. Chinese Physics C, 1988, 12(S1): 81-90.
[19]	ZHENG Ting-Fang , BI Pin-Zhen , SU Ru-Keng . EXTENDED CLOUDY BAG MODEL AND NUCLEAR FORCE. Chinese Physics C, 1986, 10(1): 47-56.
[20]	QUAN Xiang-Lin , WANG Lian-Ji . THE GENERALIZATION ON B.W.LEE'S EQUATION Γ*Γ=0. Chinese Physics C, 1986, 10(4): 508-512.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-05-16

Fund

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)

Article Metric

Article Views(1735)
PDF Downloads(65)
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

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录