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

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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.

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[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

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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

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

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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.

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

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