No-core Monte Carlo shell model calculations with unitary correlation operator method and similarity renormalization group

LIU Lang

doi:10.1088/1674-1137/39/5/054103

Chinese Physics C> 2015, Vol. 39> Issue(5) : 054103 DOI: 10.1088/1674-1137/39/5/054103

No-core Monte Carlo shell model calculations with unitary correlation operator method and similarity renormalization group

LIU Lang ^,

School of Science, Jiangnan University, Wuxi 214122, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The unitary correlation operator method (UCOM) and the similarity renormalization group theory (SRG) are compared and discussed in the framework of the no-core Monte Carlo shell model (MCSM) calculations for ³H and ⁴He. The treatment of spurious center-of-mass motion by Lawson's prescription is performed in the MCSM calculations. These results with both transformed interactions show good suppression of spurious center-of-mass motion with proper Lawson's prescription parameter β_c.m. values. The UCOM potentials obtain faster convergence of total energy for the ground state than that of SRG potentials in the MCSM calculations, which differs from the cases in the no-core shell model calculations (NCSM). These differences are discussed and analyzed in terms of the truncation scheme in the MCSM and NCSM, as well as the properties of the potentials of SRG and UCOM.

References

[1]

Pieper S C, Wiringa R B. Annu. Rev. Nucl. Part. Sci., 2001, 51: 53[2] Pieper S C, Varga K, Wiringa R B. Phys. Rev. C, 2002, 66: 044310[3] Pieper S C. Nucl. Phys. A, 2005, 751: 516[4] Navrátil P, Vary J P, Barrett B R. Phys. Rep. C, 2000, 62: 054311[5] Caurier E, Navrátil P, Ormand W E et al. Phys. Rev. C, 2002, 66: 024314[6] Navrátil P, Quaglioni S, Stetcu I et al. J. Phys. G, 2009, 36: 083101[7] LIU Lang, Otsuka T, Shimizu N et al. Phys. Rev. C, 2012, 86: 014302[8] Shimizu N, Utsuno Y, Mizusaki T et al. Phys. Rev. C, 2010, 82: 061305(R)[9] Feldmeier H, Neff T, Roth R et al. Nucl. Phys. A, 1998, 632: 61[10] Neff T, Feldmeier H. Nucl. Phys. A, 2003, 713: 311[11] Roth R, Neff T, Feldmeier H. Prog. Part. Nucl. Phys., 2010, 65: 50[12] Wegner F. Annalen der physik, 1994, 506: 77[13] Wegner F. Nucl. Phys. B Proc. Suppl., 2000, 90: 141[14] GUO Jian-You, CHEN Shou-Wan, NIU Zhong-Ming et al. Phys. Rev. Lett., 2014, 112: 062502[15] Roth R, Reinhardt S, Hergert H. Phys. Rev. C, 2008, 77: 064003[16] Hubbard J. Phys. Rev. Lett., 1959, 3: 77[17] Stratonovich R L. Dokl. Akad. Nauk. SSSR, 1957, 115: 1097[18] Otsuka T, Honma M, Mizusaki T et al. Prog. Part. Nucl. Phys., 2001, 47: 319[19] Gloeckner D, Lawson R. Phys. Lett. B, 1974, 53: 313[20] Entem D R, Machleidt R. Phys. Rev. C, 2003, 68: 041001(R)[21] Epelbaum E. Prog. Part. Nucl. Phys., 2006, 57: 654[22] Machleidt R and Entem D R. Phys. Rep., 2011, 503: 1

[1]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(2): 1-12.
[2]	Abdel Magied DIAB . Charmed Meson Structure across Crossover from SU(4) Polyakov Quark Meson Model with Isospin Asymmetry. Chinese Physics C, 2026, 50(1): 1-19.
[3]	Zhe Wang , Quan Liu , Jian-You Guo . Examination of proton radioactivity in exotic nuclei with a deformed Gamow-like model. Chinese Physics C, 2026, 50(2): 1-10. doi: 10.1088/1674-1137/ae042f
[4]	Wen-Chao Dai , Jie-Dong Jiang , Yin Fan , Xiao Liu , Peng-Cheng Chu , Xi-Jun Wu , Xiao-Hua Li . Systematic study of α decay half-life within cluster-formation model. Chinese Physics C, 2026, 50(1): 1-26.
[5]	Siyu Tang , Zuman Zhang , Chao Zhang , Liang Zheng , Renzhuo Wan . Investigating the transverse-momentum- and pseudorapidity-dependent flow vector decorrelation in p–Pb collisions with a multi-phase transport model. Chinese Physics C, 2025, 49(12): 124104. doi: 10.1088/1674-1137/adef1b
[6]	Liuxin Zhao , Honglei Li , Zhi-Long Han , Fei Huang , Xinyi Yan . Extra charged gauge boson W′ in Alternative Left-Right Model at future muon collider. Chinese Physics C, 2025, 49(12): 123102. doi: 10.1088/1674-1137/adec51
[7]	Fan Yang , Xiangyun Fu , Bing Xu , Kaituo Zhang , Yang Huang , Ying Yang . Testing the cosmic distance duality relation using Type Ia supernovae and radio quasars through model-independent methods. Chinese Physics C, 2025, 49(10): 105108. doi: 10.1088/1674-1137/ade4a3
[8]	Sen Guo , Pei Wang , Ke-Jian He , Guo-Ping Li , Xiao-Xiong Zeng , Wen-Hao Deng . A novel jet model for the Novikov-Thorne disk and its observable impact. Chinese Physics C, 2025, 49(8): 085104. doi: 10.1088/1674-1137/add10e
[9]	Xin-Xin Qi , Hao Sun . Copositive criteria for a two-component dark matter model. Chinese Physics C, 2025, 49(10): 103101. doi: 10.1088/1674-1137/ade4b7
[10]	G. Leckenby , M. Trassinelli , Rui-jiu Chen , R. S. Sidhu , J. Glorius , M. S. Sanjari , Yu. A. Litvinov , M. Bai , F. Bosch , C. Brandau , T. Dickel , I. Dillmann , D. Dmytriiev , T. Faestermann , O. Forstner , B. Franczak , H. Geissel , R. Gernhäuser , Bing-shui Gao , C. J. Griffin , A. Gumberidze , E. Haettner , R. Heß , P.-M. Hillenbrand , P. Kienle , W. Korten , Ch. Kozhuharov , N. Kuzminchuk , S. Litvinov , E. B. Menz , T. Morgenroth , C. Nociforo , F. Nolden , N. Petridis , U. Popp , S. Purushothaman , R. Reifarth , C. Scheidenberger , U. Spillmann , M. Steck , Th. Stöhlker , Y. K. Tanaka , S. Trotsenko , L. Varga , Meng Wang , H. Weick , P. J. Woods , T. Yamaguchi , Yu-hu Zhang , Jian-wei Zhao . Bayesian and Monte Carlo approaches to estimating uncertainty for the measurement of the bound-state β^- decay of ²⁰⁵Tl⁸¹⁺. Chinese Physics C, 2025, 49(11): 114001. doi: 10.1088/1674-1137/ade956
[11]	Hong-Lei Li , Peng-Cheng Lu , Cong-Feng Qiao , Zong-Guo Si , Ying Wang . Study of the Standard Model and Majorana neutrino contributions to ${ B}^{{ +}} { \to} { K}^{{ (*){ \pm}}}{ \mu}^{ +}{ \mu}^{{ \mp}}$. Chinese Physics C, 2019, 43(2): 023101. doi: 10.1088/1674-1137/43/2/023101
[12]	D. Banerjee , S. Sahoo . Analysis of λ_b→λ l⁺l^- rare decays in a non-universal Z' model. Chinese Physics C, 2017, 41(8): 083101. doi: 10.1088/1674-1137/41/8/083101
[13]	WANG Ji-Ke , MAO Ze-Pu , BIAN Jian-Ming , CAO Guo-Fu , CAO Xue-Xiang , CHEN Shen-Jian , DENG Zi-Yan , FU Cheng-Dong , GAO Yuan-Ning , HE Kang-Lin , HE Miao , HUA Chun-Fei , HUANG Bin , HUANG Xing-Tao , JI Xiao-Bin , LI Fei , LI Hai-Bo , LI Wei-Dong , LIANG Yu-Tie , LIU Chun-Xiu , LIU Huai-Min , LIU Suo , LIU Ying-Jie , MA Qiu-Mei , MA Xiang , MAO Ya-Jun , MO Xiao-Hu , PAN Ming-Hua , PANG Cai-Ying , PING Rong-Gang , QIN Ya-Hong , QIU Jin-Fa , SUN Sheng-Sen , SUN Yong-Zhao , WANG Liang-Liang , WEN Shuo-Pin , , , , , , . Software alignment of the BESⅢ main drift chamber using the Kalman Filter method. Chinese Physics C, 2009, 33(3): 210-216. doi: 10.1088/1674-1137/33/3/010
[14]	ZHANG Man-Zhou , HOU Jie , LI Hao-Hu , LIU Gui-Min , LI De-Ming . Optimal sorting method and application to SSRF booster dipoles. Chinese Physics C, 2008, 32(11): 924-927. doi: 10.1088/1674-1137/32/11/015
[15]	GUO Yun-Jun , HE Kang-Lin . Muon Identification Using the Efficiencies Ratio Method at BESⅡ. Chinese Physics C, 2007, 31(11): 1050-1055.
[16]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[17]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[18]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[19]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.
[20]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

Access

Get Citation

LIU Lang. No-core Monte Carlo shell model calculations with unitary correlation operator method and similarity renormalization group[J]. Chinese Physics C, 2015, 39(5): 054103. doi: 10.1088/1674-1137/39/5/054103

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2014-09-28
Revised: 1900-01-01

Article Metric

Article Views(3268)
PDF Downloads(124)
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

No-core Monte Carlo shell model calculations with unitary correlation operator method and similarity renormalization group

Corresponding author: LIU Lang,

School of Science, Jiangnan University, Wuxi 214122, China

Received Date: 2014-09-28

Accepted Date: 1900-01-01

Available Online: 2015-05-05

Abstract: The unitary correlation operator method (UCOM) and the similarity renormalization group theory (SRG) are compared and discussed in the framework of the no-core Monte Carlo shell model (MCSM) calculations for ³H and ⁴He. The treatment of spurious center-of-mass motion by Lawson's prescription is performed in the MCSM calculations. These results with both transformed interactions show good suppression of spurious center-of-mass motion with proper Lawson's prescription parameter β_c.m. values. The UCOM potentials obtain faster convergence of total energy for the ground state than that of SRG potentials in the MCSM calculations, which differs from the cases in the no-core shell model calculations (NCSM). These differences are discussed and analyzed in terms of the truncation scheme in the MCSM and NCSM, as well as the properties of the potentials of SRG and UCOM.

HTML

Reference (1)

No-core Monte Carlo shell model calculations with unitary correlation operator method and similarity renormalization group

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article