Particle-hole symmetry numbers for nuclei
Two new numbers, ν and ζ , inspired by particle-hole symmetry are introduced. These numbers have extreme values at a closed shell and vanish mid-shell. A combination of even powers of these numbers has been used to model experimentally measured quantities such as R 4 / 2 = E ( 4 1 + ) / E ( 2 1 + )...
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| Veröffentlicht in: | Indian journal of physics 2016-09, Vol.90 (9), p.1069-1076 |
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| creator | Bentley, Ian |
| description | Two new numbers,
ν
and
ζ
, inspired by particle-hole symmetry are introduced. These numbers have extreme values at a closed shell and vanish mid-shell. A combination of even powers of these numbers has been used to model experimentally measured quantities such as
R
4
/
2
=
E
(
4
1
+
)
/
E
(
2
1
+
)
and the “microscopic” contribution to binding energies. A binding energy fit consisting of a total of six fit coefficients, including one new shell term, reproduces the experimental binding energies of 2353 nuclei with an r.m.s. standard deviation of 1.55 MeV. The difference between the experimental and fit values of observables, specifically the
R
4
/
2
, provides an indication of where shell closure features are less pronounced and where sub-shells closures occur. |
| doi_str_mv | 10.1007/s12648-016-0843-8 |
| format | Article |
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ν
and
ζ
, inspired by particle-hole symmetry are introduced. These numbers have extreme values at a closed shell and vanish mid-shell. A combination of even powers of these numbers has been used to model experimentally measured quantities such as
R
4
/
2
=
E
(
4
1
+
)
/
E
(
2
1
+
)
and the “microscopic” contribution to binding energies. A binding energy fit consisting of a total of six fit coefficients, including one new shell term, reproduces the experimental binding energies of 2353 nuclei with an r.m.s. standard deviation of 1.55 MeV. The difference between the experimental and fit values of observables, specifically the
R
4
/
2
, provides an indication of where shell closure features are less pronounced and where sub-shells closures occur.</description><identifier>ISSN: 0973-1458</identifier><identifier>EISSN: 0974-9845</identifier><identifier>DOI: 10.1007/s12648-016-0843-8</identifier><language>eng</language><publisher>New Delhi: Springer India</publisher><subject>Astrophysics and Astroparticles ; Binding energy ; Closures ; Extreme values ; Mathematical models ; Nuclei ; Numbers ; Original Paper ; Particle size ; Physics ; Physics and Astronomy ; Standard deviation ; Symmetry ; Texts</subject><ispartof>Indian journal of physics, 2016-09, Vol.90 (9), p.1069-1076</ispartof><rights>Indian Association for the Cultivation of Science 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c301t-4a384e2405a53a043d17317497a1d6fc49e646b2b454b3a981c28616bcf449013</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12648-016-0843-8$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12648-016-0843-8$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,778,782,27907,27908,41471,42540,51302</link.rule.ids></links><search><creatorcontrib>Bentley, Ian</creatorcontrib><title>Particle-hole symmetry numbers for nuclei</title><title>Indian journal of physics</title><addtitle>Indian J Phys</addtitle><description>Two new numbers,
ν
and
ζ
, inspired by particle-hole symmetry are introduced. These numbers have extreme values at a closed shell and vanish mid-shell. A combination of even powers of these numbers has been used to model experimentally measured quantities such as
R
4
/
2
=
E
(
4
1
+
)
/
E
(
2
1
+
)
and the “microscopic” contribution to binding energies. A binding energy fit consisting of a total of six fit coefficients, including one new shell term, reproduces the experimental binding energies of 2353 nuclei with an r.m.s. standard deviation of 1.55 MeV. The difference between the experimental and fit values of observables, specifically the
R
4
/
2
, provides an indication of where shell closure features are less pronounced and where sub-shells closures occur.</description><subject>Astrophysics and Astroparticles</subject><subject>Binding energy</subject><subject>Closures</subject><subject>Extreme values</subject><subject>Mathematical models</subject><subject>Nuclei</subject><subject>Numbers</subject><subject>Original Paper</subject><subject>Particle size</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Standard deviation</subject><subject>Symmetry</subject><subject>Texts</subject><issn>0973-1458</issn><issn>0974-9845</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kE1LAzEQhoMoWKs_wFvBix6imWQ2H0cpfkFBD3oO2TSrW_ajJruH_ntT14MInuaFed5heAg5B3YNjKmbBFyipgwkZRoF1QdkxoxCajQWh99ZUMBCH5OTlDaMSQOqmJGrFxeH2jeBfvRNWKRd24Yh7hbd2JYhpkXVx5zzvj4lR5VrUjj7mXPydn_3unykq-eHp-XtinrBYKDohMbAkRWuEI6hWIMSoNAoB2tZeTRBoix5iQWWwhkNnmsJsvQVomEg5uRyuruN_ecY0mDbOvnQNK4L_ZgsaFFIhQoxoxd_0E0_xi5_lyngXGmDPFMwUT72KcVQ2W2sWxd3Fpjdy7OTPJvl2b08q3OHT52U2e49xF-X_y19ASTebso</recordid><startdate>20160901</startdate><enddate>20160901</enddate><creator>Bentley, Ian</creator><general>Springer 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Ian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c301t-4a384e2405a53a043d17317497a1d6fc49e646b2b454b3a981c28616bcf449013</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Astrophysics and Astroparticles</topic><topic>Binding energy</topic><topic>Closures</topic><topic>Extreme values</topic><topic>Mathematical models</topic><topic>Nuclei</topic><topic>Numbers</topic><topic>Original Paper</topic><topic>Particle size</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Standard deviation</topic><topic>Symmetry</topic><topic>Texts</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bentley, Ian</creatorcontrib><collection>CrossRef</collection><collection>India Database</collection><collection>India Database: Science & Technology</collection><collection>ProQuest Central (Corporate)</collection><collection>Solid 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ν
and
ζ
, inspired by particle-hole symmetry are introduced. These numbers have extreme values at a closed shell and vanish mid-shell. A combination of even powers of these numbers has been used to model experimentally measured quantities such as
R
4
/
2
=
E
(
4
1
+
)
/
E
(
2
1
+
)
and the “microscopic” contribution to binding energies. A binding energy fit consisting of a total of six fit coefficients, including one new shell term, reproduces the experimental binding energies of 2353 nuclei with an r.m.s. standard deviation of 1.55 MeV. The difference between the experimental and fit values of observables, specifically the
R
4
/
2
, provides an indication of where shell closure features are less pronounced and where sub-shells closures occur.</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s12648-016-0843-8</doi><tpages>8</tpages></addata></record> |
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| issn | 0973-1458 0974-9845 |
| language | eng |
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| source | SpringerLink Journals |
| subjects | Astrophysics and Astroparticles Binding energy Closures Extreme values Mathematical models Nuclei Numbers Original Paper Particle size Physics Physics and Astronomy Standard deviation Symmetry Texts |
| title | Particle-hole symmetry numbers for nuclei |
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