Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach

Peng Yin; Jianmin Dong; Wei Zuo

doi:10.1088/1674-1137/41/11/114102

Chinese Physics C> 2017, Vol. 41> Issue(11) : 114102 DOI: 10.1088/1674-1137/41/11/114102

Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach

Peng Yin ^1,2,, ,
Jianmin Dong ¹ ,
Wei Zuo ^1,3,,

1.
Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
2.
Department of Physics, Iowa State University, Ames, IA, 50011 USA
3.
Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
4.
University of Chinese Academy of Sciences, Beijing 100049, China

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Abstract：
We have investigated the effect of tensor correlations on the depletion of the nuclear Fermi sea in symmetric nuclear matter within the framework of the extended Brueckner-Hartree-Fock approach by adopting the AV18 two-body interaction and a microscopic three-body force. The contributions from various partial wave channels including the isospin-singlet T=0 channel, the isospin-triplet T=1 channel and the T=0 tensor ³SD₁ channel have been calculated. The T=0 neutron-proton correlations play a dominant role in causing the depletion of nuclear Fermi sea. The T=0 correlation-induced depletion turns out to stem almost completely from the ³SD₁ tensor channel. The isospin-singlet T=0 ³SD₁ tensor correlations are shown to be responsible for most of the depletion, which amounts to more than 70 percent of the total depletion in the density region considered. The three-body force turns out to lead to an enhancement of the depletion at high densities well above the empirical saturation density and its effect increases as a function of density.
- Ab initio methods ,
- nuclear matter ,
- three-nucleon forces ,
- forces in hadronic systems and effective interactions

References

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[32]	M. Jaminon and C. Mahaux, Phys. Rev. C, 41:697(1990)
[33]	M. Baldo, I. Bombaci, G. Giansiracusa, U. Lombardo, C. Mahaux, and R. Sartor, Phys. Rev. C, 41:1748(1990)
[34]	M. Baldo, I. Bombaci, G. Giansiracusa, and U. Lombardo, Nucl. Phys. A, 530:135(1991)
[35]	C. Mahaux and R. Sartor, Nucl. Phys. A, 553:515(1993)
[36]	Kh. S. A. Hassaneen and H. Mther, Phys. Rev. C, 70:054308(2004)
[37]	P. Bozek, Phys. Rev. C, 59:2619(1999); P. Bozek, Phys. Rev. C, 65:054306(2002)
[38]	V. Soma and P. Bozek, Phys. Rev. C, 78:054003(2008)
[39]	S. Fantoni and V. R. Pandharipande, Nucl. Phys. A, 427:473(1984)
[40]	O. Benhar, A. Fabrocini, and S. Fantoni, Nucl. Phys. A, 505:267(1989); O. Benhar, A. Fabrocini, and S. Fantoni, Phys. Rev. C, 41:R24(1990)
[41]	Yin Peng, Jian-Yang Li, Pei Wang, and Wei Zuo, Phys. Rev. C, :(2013)
[42]	P. Grang, A. Lejeune, M. Martzolff, and J.-F.Mathiot, Phys. Rev. C, 40:1040(1989)
[43]	W. Zuo, A. Lejeune, U. Lombardo et al, Nucl. Phys. A, 706:418(2002); Eur. Phys. J. A, 14:469(2002)
[44]	B. D. Day, Rev. Mod. Phys., 50:495(1978)
[45]	R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Phys. Rev. C, 51:38(1995)
[46]	M. Baldo, I. Bombaci, L. S. Ferreira, G. Giansiracusa, and U. Lombardo, Phys. Lett. B, 209:135(1988); Phys. Lett. B, 215:19(1988)
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References

[1]	T. Otsuka, T. Suzuki, R. Fujimoto1, H. Grawe, and Y. Akaishi, Phys. Rev. Lett., 95:232502(2005)
[2]	T. Otsuka, T. Suzuki, M. Honma, Y. Utsuno, N. Tsunoda, K. Tsukiyama, and M. Hjorth-Jensen, Phys. Rev. Lett., 104:012501(2010)
[3]	I. Vidana, A. Polls and C. Providencia, Phys. Rev. C, 84:062801(2011)
[4]	L. Frankfurt, M. Sargsian, and M. Strikman, Int. J. Mod. Phys. A, 23:2991(2008)
[5]	J. P. Jeukenne, A. Lejeune, and C. Mahaux, Phys. Rep., 25:83(1976)
[6]	B. Vonderfecht, W. Dickhoff, A. Polls, and A. Ramos, Phys. Rev. C, 44:R1265(1991)
[7]	J. M. Cavedon, B. Frois, D. Goutte et al, Phys. Rev. Lett., 49:978(1982)
[8]	V. R. Pandharipande, I. Sick, and P. K. A. deWitt Huberts, Rev. Mod. Phys., 69:981(1997)
[9]	O. Hen, G. A. Miller, E. Piasetzky, and L. B. Weinstein, arXiv:1611.09748
[10]	A. Ramos, A. Polls, and W. H. Dickhoff, Nucl. Phys. A, 503:1(1989)
[11]	W. H. Dickhoff and M. Mther, Rep. Prog. Phys., 55:1947(1992)
[12]	W. Dickhoff and C. Barbieri, Prog. Part. Nucl. Phys., 52:377(2004)
[13]	P. K. A. deWitt Huberts, J. Phys. G, 16:507(1990)
[14]	L. Lapiks, J. Wesseling, and R. B. Wiringa, Phys. Rev. Lett., 82:4404(1999)
[15]	R. Starink, M. F. van Batenburg, E. Cisbani et al, Phys. Lett. B, 474:33(2000)
[16]	M. F. van Batenburg, Ph. D. thesis, University of Utrecht, 2001(unpublished)
[17]	D. Rohe et al (E97-006 Collaboration), Phys. Rev. Lett., 93:182501(2004)
[18]	R. A. Niyazov et al (CLAS Collaboration), Phys. Rev. Lett., 92:052303(2004); K. S. Egiyan et al (CLAS Collaboration), Phys. Rev. Lett., 96:082501(2006)
[19]	F. Benmokhtar et al (Jefferson Lab Hall A Collaboration), Phys. Rev. Lett., 94:082305(2005); R. Shneor et al (Jefferson Lab Hall A Collaboration), Phys. Rev. Lett., 99:072501(2007)
[20]	J. L. S. Aclander, J. Alster, D. Barton et al, Phys. Lett. B, 453:211(1999); A. Tang, J. W. Watson, J. Aclander et al, Phys. Rev. Lett., 90:042301(2003); E. Piasetzky, M. Sargsian, L. Frankfurt, M. Strikman, and J. W. Watson, Phys. Rev. Lett., 97:162504(2006)
[21]	C. J. G. Onderwater, K. Allaart, E. C. Aschenauer et al, Phys. Rev. Lett., 81:2213(1998)
[22]	L. A. Riley, P. Adrich, T. R. Baugher et al, Phys. Rev. C, 78:011303(2008)
[23]	R. Subedi, R. Shneor, P. Monaghan et al, Science, 320:1476(2008) and reference therein
[24]	R. Schiavilla, R. B. Wiringa, S. C. Pieper, and J. Carlson, Phys. Rev. Lett., 98:132501(2007)
[25]	H. Mther, G. Knehr, and A. Polls, Phys. Rev. C, 52:2955(1995)
[26]	T. Alm, G. Rpke, A. Schnell, N. H. Kwong, and H. S. Khler, Phys. Rev. C, 53:2181(1996)
[27]	Y. Dewulf, D. Van Neck, and M. Waroquier, Phys. Rev. C, 65:054316(2002); Y. Dewulf, W. H. Dickhoff, D. Van Neck, E. E. Stoddard, and M. Waroquier, Phys. Rev. Lett., 90:152501(2003)
[28]	T. Frick, H. Mther, A. Rios, A. Polls, and A. Ramos, Phys. Rev. C, 71:014313(2005)
[29]	A. Rios, A. Polls, I. Vidana, Phys. Rev. C, 79:025802(2009); A. Rios, A. Polls, and W. Dickhoff, Phys. Rev. C, 79:064308(2009)
[30]	R. Sartor and C. Mahaux, Phys. Rev. C, 21:1546(1980)
[31]	P. Grang:J. Cugnon, and A. Lejeune, Nucl. Phys. A, 473:365(1987)
[32]	M. Jaminon and C. Mahaux, Phys. Rev. C, 41:697(1990)
[33]	M. Baldo, I. Bombaci, G. Giansiracusa, U. Lombardo, C. Mahaux, and R. Sartor, Phys. Rev. C, 41:1748(1990)
[34]	M. Baldo, I. Bombaci, G. Giansiracusa, and U. Lombardo, Nucl. Phys. A, 530:135(1991)
[35]	C. Mahaux and R. Sartor, Nucl. Phys. A, 553:515(1993)
[36]	Kh. S. A. Hassaneen and H. Mther, Phys. Rev. C, 70:054308(2004)
[37]	P. Bozek, Phys. Rev. C, 59:2619(1999); P. Bozek, Phys. Rev. C, 65:054306(2002)
[38]	V. Soma and P. Bozek, Phys. Rev. C, 78:054003(2008)
[39]	S. Fantoni and V. R. Pandharipande, Nucl. Phys. A, 427:473(1984)
[40]	O. Benhar, A. Fabrocini, and S. Fantoni, Nucl. Phys. A, 505:267(1989); O. Benhar, A. Fabrocini, and S. Fantoni, Phys. Rev. C, 41:R24(1990)
[41]	Yin Peng, Jian-Yang Li, Pei Wang, and Wei Zuo, Phys. Rev. C, :(2013)
[42]	P. Grang, A. Lejeune, M. Martzolff, and J.-F.Mathiot, Phys. Rev. C, 40:1040(1989)
[43]	W. Zuo, A. Lejeune, U. Lombardo et al, Nucl. Phys. A, 706:418(2002); Eur. Phys. J. A, 14:469(2002)
[44]	B. D. Day, Rev. Mod. Phys., 50:495(1978)
[45]	R. B. Wiringa, V. G. J. Stoks, and R. Schiavilla, Phys. Rev. C, 51:38(1995)
[46]	M. Baldo, I. Bombaci, L. S. Ferreira, G. Giansiracusa, and U. Lombardo, Phys. Lett. B, 209:135(1988); Phys. Lett. B, 215:19(1988)
[47]	W. Zuo, I. Bombaci, and U. Lombardo, Phys. Rev. C, 60:024605(1999)

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Peng Yin, Jianmin Dong and Wei Zuo. Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach[J]. Chinese Physics C, 2017, 41(11): 114102. doi: 10.1088/1674-1137/41/11/114102

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Supported by National Natural Science Foundation of China (11435014, 11175219), the 973 Program of China (2013CB834405) and the Knowledge Innovation Project (KJCX2-EW-N01) of the Chinese Academy of Sciences

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沈阳化工大学材料科学与工程学院沈阳 110142

Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach

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Effect of tensor correlations on the depletion of nuclear Fermi sea within the extended BHF approach

Corresponding author: Peng Yin,

Corresponding author: Wei Zuo,

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