Continuum Skyrme Hartree–Fock–Bogoliubov theory with Green’s function method for neutron-rich Ca, Ni, Zr, and Sn isotopes
The possible exotic nuclear properties in the neutron-rich Ca, Ni, Zr, and Sn isotopes are examined with the continuum Skyrme Hartree–Fock–Bogoliubov theory in the framework of the Green’s function method. The pairing correlation, the couplings with the continuum, and the blocking effects for the un...
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description | The possible exotic nuclear properties in the neutron-rich Ca, Ni, Zr, and Sn isotopes are examined with the continuum Skyrme Hartree–Fock–Bogoliubov theory in the framework of the Green’s function method. The pairing correlation, the couplings with the continuum, and the blocking effects for the unpaired nucleon in odd-
A
nuclei are properly treated. The Skyrme interaction SLy4 is adopted for the
ph
channel and the density-dependent
δ
interaction is adopted for the
pp
channel, which well reproduce the experimental two-neutron separation energies
S
2n
and one-neutron separation energies
S
n
. It is found that the criterion
S
n
>
0
predicts a neutron drip line with neutron numbers much smaller than those for
S
2n
>
0
. Owing to the unpaired odd neutron, the neutron pairing energies
-
E
pair
in odd-
A
nuclei are much lower than those in the neighboring even–even nuclei. By investigating the single-particle structures, the possible halo structures in the neutron-rich Ca, Ni, and Sn isotopes are predicted, where sharp increases in the root-mean-square (rms) radii with significant deviations from the traditional
r
∝
A
1
/
3
rule and diffuse spatial density distributions are observed. Analyzing the contributions of various partial waves to the total neutron density
ρ
lj
(
r
)
/
ρ
(
r
)
reveals that the orbitals located around the Fermi surface—particularly those with small angular momenta—significantly affect the extended nuclear density and large rms radii. The number of neutrons
N
λ
(
N
0
) occupying above the Fermi surface
λ
n
(continuum threshold) is discussed, whose evolution as a function of the mass number
A
in each isotope is consistent with that of the pairing energy, supporting the key role of the pairing correlation in halo phenomena. |
doi_str_mv | 10.1007/s41365-023-01261-9 |
format | Article |
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A
nuclei are properly treated. The Skyrme interaction SLy4 is adopted for the
ph
channel and the density-dependent
δ
interaction is adopted for the
pp
channel, which well reproduce the experimental two-neutron separation energies
S
2n
and one-neutron separation energies
S
n
. It is found that the criterion
S
n
>
0
predicts a neutron drip line with neutron numbers much smaller than those for
S
2n
>
0
. Owing to the unpaired odd neutron, the neutron pairing energies
-
E
pair
in odd-
A
nuclei are much lower than those in the neighboring even–even nuclei. By investigating the single-particle structures, the possible halo structures in the neutron-rich Ca, Ni, and Sn isotopes are predicted, where sharp increases in the root-mean-square (rms) radii with significant deviations from the traditional
r
∝
A
1
/
3
rule and diffuse spatial density distributions are observed. Analyzing the contributions of various partial waves to the total neutron density
ρ
lj
(
r
)
/
ρ
(
r
)
reveals that the orbitals located around the Fermi surface—particularly those with small angular momenta—significantly affect the extended nuclear density and large rms radii. The number of neutrons
N
λ
(
N
0
) occupying above the Fermi surface
λ
n
(continuum threshold) is discussed, whose evolution as a function of the mass number
A
in each isotope is consistent with that of the pairing energy, supporting the key role of the pairing correlation in halo phenomena.</description><identifier>ISSN: 1001-8042</identifier><identifier>EISSN: 2210-3147</identifier><identifier>DOI: 10.1007/s41365-023-01261-9</identifier><language>eng</language><publisher>Singapore: Springer Nature Singapore</publisher><subject>Beam Physics ; Nuclear Energy ; Particle Acceleration and Detection ; Particle and Nuclear Physics ; Physics ; Physics and Astronomy</subject><ispartof>Nuclear science and techniques, 2023-07, Vol.34 (7), p.147-163, Article 105</ispartof><rights>The Author(s), under exclusive licence to China Science Publishing & Media Ltd. (Science Press), Shanghai Institute of Applied Physics, the Chinese Academy of Sciences, Chinese Nuclear Society 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><rights>Copyright © Wanfang Data Co. Ltd. All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c322t-8ce5f59f27403448fb2792c9e333770bf64ace491fa617638374e18168c8cb923</citedby><cites>FETCH-LOGICAL-c322t-8ce5f59f27403448fb2792c9e333770bf64ace491fa617638374e18168c8cb923</cites><orcidid>0000-0001-8942-5619</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://www.wanfangdata.com.cn/images/PeriodicalImages/hjs-e/hjs-e.jpg</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s41365-023-01261-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s41365-023-01261-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Huo, En-Bo</creatorcontrib><creatorcontrib>Li, Ke-Ran</creatorcontrib><creatorcontrib>Qu, Xiao-Ying</creatorcontrib><creatorcontrib>Zhang, Ying</creatorcontrib><creatorcontrib>Sun, Ting-Ting</creatorcontrib><title>Continuum Skyrme Hartree–Fock–Bogoliubov theory with Green’s function method for neutron-rich Ca, Ni, Zr, and Sn isotopes</title><title>Nuclear science and techniques</title><addtitle>NUCL SCI TECH</addtitle><description>The possible exotic nuclear properties in the neutron-rich Ca, Ni, Zr, and Sn isotopes are examined with the continuum Skyrme Hartree–Fock–Bogoliubov theory in the framework of the Green’s function method. The pairing correlation, the couplings with the continuum, and the blocking effects for the unpaired nucleon in odd-
A
nuclei are properly treated. The Skyrme interaction SLy4 is adopted for the
ph
channel and the density-dependent
δ
interaction is adopted for the
pp
channel, which well reproduce the experimental two-neutron separation energies
S
2n
and one-neutron separation energies
S
n
. It is found that the criterion
S
n
>
0
predicts a neutron drip line with neutron numbers much smaller than those for
S
2n
>
0
. Owing to the unpaired odd neutron, the neutron pairing energies
-
E
pair
in odd-
A
nuclei are much lower than those in the neighboring even–even nuclei. By investigating the single-particle structures, the possible halo structures in the neutron-rich Ca, Ni, and Sn isotopes are predicted, where sharp increases in the root-mean-square (rms) radii with significant deviations from the traditional
r
∝
A
1
/
3
rule and diffuse spatial density distributions are observed. Analyzing the contributions of various partial waves to the total neutron density
ρ
lj
(
r
)
/
ρ
(
r
)
reveals that the orbitals located around the Fermi surface—particularly those with small angular momenta—significantly affect the extended nuclear density and large rms radii. The number of neutrons
N
λ
(
N
0
) occupying above the Fermi surface
λ
n
(continuum threshold) is discussed, whose evolution as a function of the mass number
A
in each isotope is consistent with that of the pairing energy, supporting the key role of the pairing correlation in halo phenomena.</description><subject>Beam Physics</subject><subject>Nuclear Energy</subject><subject>Particle Acceleration and Detection</subject><subject>Particle and Nuclear Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><issn>1001-8042</issn><issn>2210-3147</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kL1OwzAURi0EEqXwAkyemGrwX-NkhAooUgUDsLBYrrGbFGIj26HqBO_AxOv1STAEiY3pLud8VzoAHBJ8TDAWJ5ETVowRpgxhQguCqi0woJRgxAgX22CQKYJKzOku2ItxiTHnxbgagLeJd6lxXdfC26d1aA2cqpCCMZv3jwuvn_I58wv_3HRz_wpTbXxYw1WTaniZIbd5_4zQdk6nxjvYmlT7R2h9gM50KXiHQqNrOFEjeN2M4EMYQeUe4a2DTfTJv5i4D3aseo7m4PcOwf3F-d1kimY3l1eT0xnSjNKESm3GdlxZKjhmnJd2TkVFdWUYY0LguS240oZXxKqCiIKVTHBDSlKUutTzirIhOOp3V8pZ5RZy6bvg8kdZL6M0NJfDAhOeQdqDOvgYg7HyJTStCmtJsPxuLfvWMhvyp7WsssR6KWbYLUz4m__H-gJww4Sb</recordid><startdate>20230701</startdate><enddate>20230701</enddate><creator>Huo, En-Bo</creator><creator>Li, Ke-Ran</creator><creator>Qu, Xiao-Ying</creator><creator>Zhang, Ying</creator><creator>Sun, Ting-Ting</creator><general>Springer Nature Singapore</general><general>School of Physics and Microelectronics,Zhengzhou University,Zhengzhou 450001,China%School of Mechatronics Engineering,Guizhou Minzu University,Guiyang 550025,China%Department of Physics,School of Science,Tianjin University,Tianjin 300072,China%School of Physics and Microelectronics,Zhengzhou University,Zhengzhou 450001,China</general><general>Guangxi Key Laboratory of Nuclear Physics and Nuclear Technology,Guangxi Normal University,Guilin 541004,China</general><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope><orcidid>https://orcid.org/0000-0001-8942-5619</orcidid></search><sort><creationdate>20230701</creationdate><title>Continuum Skyrme Hartree–Fock–Bogoliubov theory with Green’s function method for neutron-rich Ca, Ni, Zr, and Sn isotopes</title><author>Huo, En-Bo ; Li, Ke-Ran ; Qu, Xiao-Ying ; Zhang, Ying ; Sun, Ting-Ting</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c322t-8ce5f59f27403448fb2792c9e333770bf64ace491fa617638374e18168c8cb923</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Beam Physics</topic><topic>Nuclear Energy</topic><topic>Particle Acceleration and Detection</topic><topic>Particle and Nuclear Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Huo, En-Bo</creatorcontrib><creatorcontrib>Li, Ke-Ran</creatorcontrib><creatorcontrib>Qu, Xiao-Ying</creatorcontrib><creatorcontrib>Zhang, Ying</creatorcontrib><creatorcontrib>Sun, Ting-Ting</creatorcontrib><collection>CrossRef</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Nuclear science and techniques</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Huo, En-Bo</au><au>Li, Ke-Ran</au><au>Qu, Xiao-Ying</au><au>Zhang, Ying</au><au>Sun, Ting-Ting</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Continuum Skyrme Hartree–Fock–Bogoliubov theory with Green’s function method for neutron-rich Ca, Ni, Zr, and Sn isotopes</atitle><jtitle>Nuclear science and techniques</jtitle><stitle>NUCL SCI TECH</stitle><date>2023-07-01</date><risdate>2023</risdate><volume>34</volume><issue>7</issue><spage>147</spage><epage>163</epage><pages>147-163</pages><artnum>105</artnum><issn>1001-8042</issn><eissn>2210-3147</eissn><abstract>The possible exotic nuclear properties in the neutron-rich Ca, Ni, Zr, and Sn isotopes are examined with the continuum Skyrme Hartree–Fock–Bogoliubov theory in the framework of the Green’s function method. The pairing correlation, the couplings with the continuum, and the blocking effects for the unpaired nucleon in odd-
A
nuclei are properly treated. The Skyrme interaction SLy4 is adopted for the
ph
channel and the density-dependent
δ
interaction is adopted for the
pp
channel, which well reproduce the experimental two-neutron separation energies
S
2n
and one-neutron separation energies
S
n
. It is found that the criterion
S
n
>
0
predicts a neutron drip line with neutron numbers much smaller than those for
S
2n
>
0
. Owing to the unpaired odd neutron, the neutron pairing energies
-
E
pair
in odd-
A
nuclei are much lower than those in the neighboring even–even nuclei. By investigating the single-particle structures, the possible halo structures in the neutron-rich Ca, Ni, and Sn isotopes are predicted, where sharp increases in the root-mean-square (rms) radii with significant deviations from the traditional
r
∝
A
1
/
3
rule and diffuse spatial density distributions are observed. Analyzing the contributions of various partial waves to the total neutron density
ρ
lj
(
r
)
/
ρ
(
r
)
reveals that the orbitals located around the Fermi surface—particularly those with small angular momenta—significantly affect the extended nuclear density and large rms radii. The number of neutrons
N
λ
(
N
0
) occupying above the Fermi surface
λ
n
(continuum threshold) is discussed, whose evolution as a function of the mass number
A
in each isotope is consistent with that of the pairing energy, supporting the key role of the pairing correlation in halo phenomena.</abstract><cop>Singapore</cop><pub>Springer Nature Singapore</pub><doi>10.1007/s41365-023-01261-9</doi><tpages>17</tpages><orcidid>https://orcid.org/0000-0001-8942-5619</orcidid></addata></record> |
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language | eng |
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source | Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings |
subjects | Beam Physics Nuclear Energy Particle Acceleration and Detection Particle and Nuclear Physics Physics Physics and Astronomy |
title | Continuum Skyrme Hartree–Fock–Bogoliubov theory with Green’s function method for neutron-rich Ca, Ni, Zr, and Sn isotopes |
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