Study of &and; Hypernuclei Using the Beyond-mean-field Approach with Skyrme-type N&and; Interaction

CHEN Chaofeng; ZHOU Xianrong; CUI Jiwei; LI Wenying

doi:10.11804/NuclPhysRev.35.04.409

Volume 35 Issue 4

May 2020

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Article Navigation > Nuclear Physics Review > 2018 > 35(4): 409-419

CHEN Chaofeng, ZHOU Xianrong, CUI Jiwei, LI Wenying. Study of ∧ Hypernuclei Using the Beyond-mean-field Approach with Skyrme-type N∧ Interaction[J]. Nuclear Physics Review, 2018, 35(4): 409-419. doi: 10.11804/NuclPhysRev.35.04.409

Citation:

CHEN Chaofeng, ZHOU Xianrong, CUI Jiwei, LI Wenying. Study of ∧ Hypernuclei Using the Beyond-mean-field Approach with Skyrme-type N∧ Interaction[J]. Nuclear Physics Review, 2018, 35(4): 409-419. doi: 10.11804/NuclPhysRev.35.04.409

Study of ∧ Hypernuclei Using the Beyond-mean-field Approach with Skyrme-type N∧ Interaction

doi: 10.11804/NuclPhysRev.35.04.409

1.
School of physics and Materials Science, East China Normal University, Shanghai 200241, China;
2.
School of Physics and Optoelectronic Engineering, XiDian University, Xi'an 710126, China

Funds: National Natural Science Foundation of China(11775081,11547044); Natural Science Foundation of Shanghai, China(17ZR1408900)

Received Date: 2018-11-10
Rev Recd Date: 2018-11-30
Publish Date: 2020-05-03

Abstract

The beyond-mean-field Skyrme-Hartree-Fock approach is adopted to investigate the properties of _∧⁹Be, _∧∧¹⁰Be, _∧¹³C and _∧²¹Ne. The nucleon-nucleon (NN) interaction SLy4 and the nucleon-hyperon(N∧) interaction Skyrme-type SLL4 are used. The spin-orbit force of hyperon is included to show the spin-orbit splitting and non-crossing effect with BCS method to deal with pairing force. Energies of different configurations, such as ¹²C⊗∧[000]1/2⁺, ¹²C⊗∧[110]1/2^-, ¹²C⊗∧[101]3/2^-, ¹²C⊗∧[101]1/2^-, ⁸Be⊗∧[000]1/2⁺, ⁸Be⊗∧[110]1/2^-, 8 Be⊗∧[101]3/2^- and ⁸Be⊗∧[101]1/2^- are given and used to study the effects of ∧ occupying different orbitals. The calculated energy spectra, including both positive-and negative-parity levels, are given and compared to the experimental data. The observed positive-parity spin-doublet (3/2⁺,5/2⁺) are successfully reproduced, but the energy difference needs further investigation. The two well known band structures corresponding to the genuine hypernuclear states and the ⁹Be-analog states are also obtained and compared with the observed ones. The shrinkage effect of ∧ occupying ∧[000]1/2⁺ is investigated through the density distributions of nuclear core. And finally the calculation results of _∧²¹Ne are given and compared with the results of RMF method, which are nearly the same but with differences in some details.
- beyond-mean-field,
- &and,
- hypernuclear,
- Skyrme-Hartree-Fock method,
- rotation symmetry

References

[1]	HASHIMOTO O, TAMURA H. Lect Notes Phys, 2009, 781:105.
[2]	BOTTA E, BRESSANI T, GARBARINO G, et al. Eur Phys J A, 2012, 48:41.
[3]	GAL A, HUNGERFORD E V, MILLENER D J. Rev Mod Phys, 2016, 88:1.
[4]	BRÜCKNER W, FAESSLER M.A, KILIAN K, et al. Phys Lett B, 1975, 55:107; BRÜCKNER W, GRANZ B, INGHAM D, et al. Phys Lett B, 1976, 62:481; BRÜCKNER W, FAESSLER M A, KETEL T J, et al. Phys Lett B, 1978, 79:157.
[5]	DALITZ R H, GAL A. Phys Rev Lett, 1976, 36:362.
[6]	AUERBACH E H, BALTZ A J, DOVER C B, et al. Ann Phys, 1983, 148:381.
[7]	YAMADA T, IKEDA K, MOTOBA T, et al. Nucl Phys A, 1986, 450:333.
[8]	YAMADA T, IKEDA K, BANDŌ H, et al. Phys Rev C, 1988, 38:854.
[9]	PILE P H, BART S, CHRIEN R E, et al. Phys Rev Lett, 1991, 66:2585.
[10]	HASHIMOTO O, AJIMURA S, AOKI K, et al. Nucl Phys A, 1998, 639:93c.
[11]	AHN J.K, AKAISHI Y, AKIKAWA H, et al. AIP Conf Proc, 2001, 594:180.
[12]	HIYAMA E, KAMIMURA M, MOTOBA T, et al. Phys Rev C, 2002, 66:13.
[13]	GAL A, MILLENER D J. Phys Lett B, 2011, 701:342.
[14]	GAL A, SOPER J M, Dalitz R H. Ann Phys (N.Y.), 1971, 63:53.
[15]	GAL A, SOPER J M, Dalitz R H. Ann Phys (N.Y.), 1972, 72:445.
[16]	GAL A. Nucl Phys A, 2005, 754:91.
[17]	HIYAMA E, KAMIMURA M, MOTOBA T, et al. Phys Rev Lett, 2000, 85:270.
[18]	HIYAMA E, YAMAMOTOY, MOTOBA T, et al. Phys Rev C, 2009, 80:054321.
[19]	HIYAMA E, KAMIMURA M, YAMAMOTO Y, et al. Phys Rev Lett, 2010, 104:212502.
[20]	RAYET M. Nucl Phys A, 1981, 367:381.
[21]	CUGNON J, LEJEUNE A, Schulze H J. Phys Rev C, 2000, 62:064308.
[22]	VIDAÑA I, POLLS A, RAMOS A, et al. Phys Rev C, 2001, 64:044301.
[23]	ZHOU X R, SCHULZE H J, SAGAWA H, et al. Phys Rev C, 2007, 76:034312.
[24]	ZHOU X R, POLLS A, SCHULZE H J, et al. Phys Rev C, 2008, 78:054306.
[25]	WIN M T, HAGINO K, KOIKE T. Phys Rev C, 2011, 83:014301.
[26]	SCHULZE H J, RIJKEN T. Phys Rev C, 2013, 88:024322.
[27]	ZHOU X R, HIYAMA E, SAGAWA H. Phys Rev C, 2016, 94:024331.
[28]	WIN M T, HAGINO K. Phys Rev C, 2008, 78:054311.
[29]	SONG C Y, YAO J M, LÜ H F, et al. Int J Mod Phys E, 2018, 19:2538.
[30]	LU Bingnan, ZHAO Enguang, ZHOU Shangui. Phys Rev C, 2011, 84:014328.
[31]	TANIMURA Y, HAGINO K. Phys Rev C, 2012, 85:014306.
[32]	LU Bingman, EMIKO H, HIROYUKI S, et al. Phys Rev C, 2014, 89:044307.
[33]	XU Renli, WU Chen, REN Zhongzhou. Nucl Phys A, 2015, 933:82.
[34]	KANADA-EN'YO Y, HORIUCHI H, Ono A. Phys Rev C, 1995, 52:628.
[35]	ISAKA M, KIMURA M, DOTE A, et al. Phys Rev C, 2011, 83:044323; ISAKA M, KIMURA M, DOTE A, et al. Phys Rev C, 2011, 83:054304.
[36]	ISAKA M, HOMMA H, KIMURA M, et al. Phys Rev C,2012, 85:034303.
[37]	ISAKA M, KIMURA M, DOTE A, et al. Phys Rev C, 2013, 87:021304(R).
[38]	ISAKA M, KIMURA M. Phys Rev C, 2015, 92:044326.
[39]	WIRTH R, GAZDA D, NAVRATIL P, et al. Phys Rev Lett, 2014, 113:192502.
[40]	SCHULZE H J, HIYAMA E. Phys Rev C, 2014, 90:047301.
[41]	MEI H, HAGINO K, YAO J M. Phys Rev C, 2016, 93:011301(R).
[42]	WU X Y, MEI H, YAO J M, et al. Phys Rev C, 2017, 95:034309.
[43]	CUI Jiwei, ZHOU Xianrong, GUO Lixin, et al. Phys Rev C, 2017, 95:024323.
[44]	YAO J M, LI Z P, HAGINO K,et al. Nucl Phys A, 2011, 868:12.
[45]	MEI H, HAGINO K, YAO J M, et al. Phys Rev C, 2014, 90:064302.
[46]	XUE W X, YAO J M, HAGINO K, et al. Phys Rev C, 2015, 91:024327.
[47]	MEI H, HAGINO K, YAO J M, et al. Phys Rev C, 2015, 91:064305.
[48]	MEI H, HAGINO K, YAO J M, et al. Phys Rev C, 2016, 93:044307.
[49]	BENDER M, RUTZ K, REINHARD P G, et al. Eur Phys J A, 2000, 8:59.
[50]	RING P, SCHUCK P. The Nuclear Many-Body Problem[M]. Berlin:Springer, 1980.
[51]	RODRIGUEZ-GUZMAN R, EGIDO J L, Robledo L M. Phys Lett B, 2000, 474:15.
[52]	BONCHE P, DOBACZEWSKI J, FLOCARD H, et al. Nucl Phys A, 1990, 510:466.
[53]	YAO J M, MEI H, CHEN H, et al. Phys Rev C, 2011, 83:014308.
[54]	DOBACZEWSKI J, SATULA W, CARLSSON B G, et al. Comput Phys Commun, 2009, 180:2361.
[55]	SAGAWA H, ZHOU X R, ZHANG X Z, et al. Phys Rev C, 2004, 70:054316.
[56]	TERASAKI J, HEENEN P H, FLOCARD H, et al. Nucl Phys A, 1996, 600:371.
[57]	CUI JiWei, ZHOU Xianrong, HANS-JOSEF S. Phys Rev C, 2015, 91:054306.
[58]	KOHRI H, AJIMURA S, HAYAKAWA H, et al. Phys Rev C, 2002, 65:034607.
[59]	GREINER W, MARUHN J A. Nuclear Models[M]. Berlin:Springer-Verlag, 1996.
[60]	National Nuclear Data Center. http://www.nndc.bnl.gov/.
[61]	GAL A, BARANGER M, VOGT E. Advances in Nuclear Physics, 1975,8:1.
[62]	TAMURA H, AJIMURA S, AKIKAWA H, et al. Nucl Phys A, 2005, 754:58c.
[63]	AKIKAWA H, AJIMURA S, CHRIEN R E, et al. Phys Rev Lett, 2002, 88:082501.
[64]	DATAR V M, CHAKRABARTY D R, SURESH K, et al. Phys Rev Lett, 2013, 111:062502.
[65]	YU Youwen, MOTOBA T, BANDŌ H. Prog Theor Phys, 1986, 76:861.
[66]	STONE N J. At Data Nucl Data Tables, 2016, 111-112:1.

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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

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Study of ∧ Hypernuclei Using the Beyond-mean-field Approach with Skyrme-type N∧ Interaction

1. School of physics and Materials Science, East China Normal University, Shanghai 200241, China;

2. School of Physics and Optoelectronic Engineering, XiDian University, Xi'an 710126, China

Funds: National Natural Science Foundation of China(11775081,11547044); Natural Science Foundation of Shanghai, China(17ZR1408900)

Received Date: 2018-11-10

Rev Recd Date: 2018-11-30

Publish Date: 2020-05-03

Key words:

Abstract: The beyond-mean-field Skyrme-Hartree-Fock approach is adopted to investigate the properties of _∧⁹Be, _∧∧¹⁰Be, _∧¹³C and _∧²¹Ne. The nucleon-nucleon (NN) interaction SLy4 and the nucleon-hyperon(N∧) interaction Skyrme-type SLL4 are used. The spin-orbit force of hyperon is included to show the spin-orbit splitting and non-crossing effect with BCS method to deal with pairing force. Energies of different configurations, such as ¹²C⊗∧[000]1/2⁺, ¹²C⊗∧[110]1/2^-, ¹²C⊗∧[101]3/2^-, ¹²C⊗∧[101]1/2^-, ⁸Be⊗∧[000]1/2⁺, ⁸Be⊗∧[110]1/2^-, 8 Be⊗∧[101]3/2^- and ⁸Be⊗∧[101]1/2^- are given and used to study the effects of ∧ occupying different orbitals. The calculated energy spectra, including both positive-and negative-parity levels, are given and compared to the experimental data. The observed positive-parity spin-doublet (3/2⁺,5/2⁺) are successfully reproduced, but the energy difference needs further investigation. The two well known band structures corresponding to the genuine hypernuclear states and the ⁹Be-analog states are also obtained and compared with the observed ones. The shrinkage effect of ∧ occupying ∧[000]1/2⁺ is investigated through the density distributions of nuclear core. And finally the calculation results of _∧²¹Ne are given and compared with the results of RMF method, which are nearly the same but with differences in some details.

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Reference (66)

[1]	HASHIMOTO O, TAMURA H. Lect Notes Phys, 2009, 781:105.
[2]	BOTTA E, BRESSANI T, GARBARINO G, et al. Eur Phys J A, 2012, 48:41.
[3]	GAL A, HUNGERFORD E V, MILLENER D J. Rev Mod Phys, 2016, 88:1.
[4]	BRÜCKNER W, FAESSLER M.A, KILIAN K, et al. Phys Lett B, 1975, 55:107; BRÜCKNER W, GRANZ B, INGHAM D, et al. Phys Lett B, 1976, 62:481; BRÜCKNER W, FAESSLER M A, KETEL T J, et al. Phys Lett B, 1978, 79:157.
[5]	DALITZ R H, GAL A. Phys Rev Lett, 1976, 36:362.
[6]	AUERBACH E H, BALTZ A J, DOVER C B, et al. Ann Phys, 1983, 148:381.
[7]	YAMADA T, IKEDA K, MOTOBA T, et al. Nucl Phys A, 1986, 450:333.
[8]	YAMADA T, IKEDA K, BANDŌ H, et al. Phys Rev C, 1988, 38:854.
[9]	PILE P H, BART S, CHRIEN R E, et al. Phys Rev Lett, 1991, 66:2585.
[10]	HASHIMOTO O, AJIMURA S, AOKI K, et al. Nucl Phys A, 1998, 639:93c.
[11]	AHN J.K, AKAISHI Y, AKIKAWA H, et al. AIP Conf Proc, 2001, 594:180.
[12]	HIYAMA E, KAMIMURA M, MOTOBA T, et al. Phys Rev C, 2002, 66:13.
[13]	GAL A, MILLENER D J. Phys Lett B, 2011, 701:342.
[14]	GAL A, SOPER J M, Dalitz R H. Ann Phys (N.Y.), 1971, 63:53.
[15]	GAL A, SOPER J M, Dalitz R H. Ann Phys (N.Y.), 1972, 72:445.
[16]	GAL A. Nucl Phys A, 2005, 754:91.
[17]	HIYAMA E, KAMIMURA M, MOTOBA T, et al. Phys Rev Lett, 2000, 85:270.
[18]	HIYAMA E, YAMAMOTOY, MOTOBA T, et al. Phys Rev C, 2009, 80:054321.
[19]	HIYAMA E, KAMIMURA M, YAMAMOTO Y, et al. Phys Rev Lett, 2010, 104:212502.
[20]	RAYET M. Nucl Phys A, 1981, 367:381.
[21]	CUGNON J, LEJEUNE A, Schulze H J. Phys Rev C, 2000, 62:064308.
[22]	VIDAÑA I, POLLS A, RAMOS A, et al. Phys Rev C, 2001, 64:044301.
[23]	ZHOU X R, SCHULZE H J, SAGAWA H, et al. Phys Rev C, 2007, 76:034312.
[24]	ZHOU X R, POLLS A, SCHULZE H J, et al. Phys Rev C, 2008, 78:054306.
[25]	WIN M T, HAGINO K, KOIKE T. Phys Rev C, 2011, 83:014301.
[26]	SCHULZE H J, RIJKEN T. Phys Rev C, 2013, 88:024322.
[27]	ZHOU X R, HIYAMA E, SAGAWA H. Phys Rev C, 2016, 94:024331.
[28]	WIN M T, HAGINO K. Phys Rev C, 2008, 78:054311.
[29]	SONG C Y, YAO J M, LÜ H F, et al. Int J Mod Phys E, 2018, 19:2538.
[30]	LU Bingnan, ZHAO Enguang, ZHOU Shangui. Phys Rev C, 2011, 84:014328.
[31]	TANIMURA Y, HAGINO K. Phys Rev C, 2012, 85:014306.
[32]	LU Bingman, EMIKO H, HIROYUKI S, et al. Phys Rev C, 2014, 89:044307.
[33]	XU Renli, WU Chen, REN Zhongzhou. Nucl Phys A, 2015, 933:82.
[34]	KANADA-EN'YO Y, HORIUCHI H, Ono A. Phys Rev C, 1995, 52:628.
[35]	ISAKA M, KIMURA M, DOTE A, et al. Phys Rev C, 2011, 83:044323; ISAKA M, KIMURA M, DOTE A, et al. Phys Rev C, 2011, 83:054304.
[36]	ISAKA M, HOMMA H, KIMURA M, et al. Phys Rev C,2012, 85:034303.
[37]	ISAKA M, KIMURA M, DOTE A, et al. Phys Rev C, 2013, 87:021304(R).
[38]	ISAKA M, KIMURA M. Phys Rev C, 2015, 92:044326.
[39]	WIRTH R, GAZDA D, NAVRATIL P, et al. Phys Rev Lett, 2014, 113:192502.
[40]	SCHULZE H J, HIYAMA E. Phys Rev C, 2014, 90:047301.
[41]	MEI H, HAGINO K, YAO J M. Phys Rev C, 2016, 93:011301(R).
[42]	WU X Y, MEI H, YAO J M, et al. Phys Rev C, 2017, 95:034309.
[43]	CUI Jiwei, ZHOU Xianrong, GUO Lixin, et al. Phys Rev C, 2017, 95:024323.
[44]	YAO J M, LI Z P, HAGINO K,et al. Nucl Phys A, 2011, 868:12.
[45]	MEI H, HAGINO K, YAO J M, et al. Phys Rev C, 2014, 90:064302.
[46]	XUE W X, YAO J M, HAGINO K, et al. Phys Rev C, 2015, 91:024327.
[47]	MEI H, HAGINO K, YAO J M, et al. Phys Rev C, 2015, 91:064305.
[48]	MEI H, HAGINO K, YAO J M, et al. Phys Rev C, 2016, 93:044307.
[49]	BENDER M, RUTZ K, REINHARD P G, et al. Eur Phys J A, 2000, 8:59.
[50]	RING P, SCHUCK P. The Nuclear Many-Body Problem[M]. Berlin:Springer, 1980.
[51]	RODRIGUEZ-GUZMAN R, EGIDO J L, Robledo L M. Phys Lett B, 2000, 474:15.
[52]	BONCHE P, DOBACZEWSKI J, FLOCARD H, et al. Nucl Phys A, 1990, 510:466.
[53]	YAO J M, MEI H, CHEN H, et al. Phys Rev C, 2011, 83:014308.
[54]	DOBACZEWSKI J, SATULA W, CARLSSON B G, et al. Comput Phys Commun, 2009, 180:2361.
[55]	SAGAWA H, ZHOU X R, ZHANG X Z, et al. Phys Rev C, 2004, 70:054316.
[56]	TERASAKI J, HEENEN P H, FLOCARD H, et al. Nucl Phys A, 1996, 600:371.
[57]	CUI JiWei, ZHOU Xianrong, HANS-JOSEF S. Phys Rev C, 2015, 91:054306.
[58]	KOHRI H, AJIMURA S, HAYAKAWA H, et al. Phys Rev C, 2002, 65:034607.
[59]	GREINER W, MARUHN J A. Nuclear Models[M]. Berlin:Springer-Verlag, 1996.
[60]	National Nuclear Data Center. http://www.nndc.bnl.gov/.
[61]	GAL A, BARANGER M, VOGT E. Advances in Nuclear Physics, 1975,8:1.
[62]	TAMURA H, AJIMURA S, AKIKAWA H, et al. Nucl Phys A, 2005, 754:58c.
[63]	AKIKAWA H, AJIMURA S, CHRIEN R E, et al. Phys Rev Lett, 2002, 88:082501.
[64]	DATAR V M, CHAKRABARTY D R, SURESH K, et al. Phys Rev Lett, 2013, 111:062502.
[65]	YU Youwen, MOTOBA T, BANDŌ H. Prog Theor Phys, 1986, 76:861.
[66]	STONE N J. At Data Nucl Data Tables, 2016, 111-112:1.

Study of ∧ Hypernuclei Using the Beyond-mean-field Approach with Skyrme-type N∧ Interaction

doi: 10.11804/NuclPhysRev.35.04.409

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Proportional views

Study of ∧ Hypernuclei Using the Beyond-mean-field Approach with Skyrme-type N∧ Interaction

doi: 10.11804/NuclPhysRev.35.04.409

1. School of physics and Materials Science, East China Normal University, Shanghai 200241, China; 2. School of Physics and Optoelectronic Engineering, XiDian University, Xi'an 710126, China

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1. School of physics and Materials Science, East China Normal University, Shanghai 200241, China;

2. School of Physics and Optoelectronic Engineering, XiDian University, Xi'an 710126, China