Origin of Low- and High-Energy Monopole Collectivity in <sup>132</sup>Sn
Beginning with the Skyrme interaction, we study the properties of the isoscalar giant monopole resonances (ISGMR) of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>132&l...
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doaj-396785148762472a9dbf2b8af834e8832021-05-31T23:54:30ZengMDPI AGUniverse2218-19972021-05-01714514510.3390/universe7050145Origin of Low- and High-Energy Monopole Collectivity in <sup>132</sup>SnNikolay N. Arsenyev0Alexey P. Severyukhin1Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, RussiaBeginning with the Skyrme interaction, we study the properties of the isoscalar giant monopole resonances (ISGMR) of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>132</mn></msup></semantics></math></inline-formula>Sn. Using the finite-rank separable approximation for the particle-hole interaction, the coupling between one- and two-phonon terms in the wave functions of excited states is taken into account in very large configurational spaces. The inclusion of the phonon–phonon coupling (PPC) results in the formation of a low-energy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>0</mn><mo>+</mo></msup></semantics></math></inline-formula> state. The PPC inclusion leads to a fragmentation of the ISGMR strength to lower energy states and also to a higher energy tail. Using the same set of parameters, we describe the available experimental data for the ISGMR characteristics of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>118</mn><mo>,</mo><mn>120</mn><mo>,</mo><mn>122</mn><mo>,</mo><mn>124</mn></mrow></msup></semantics></math></inline-formula>Sn and give a prediction for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>126</mn><mo>,</mo><mn>128</mn><mo>,</mo><mn>130</mn><mo>,</mo><mn>132</mn></mrow></msup></semantics></math></inline-formula>Sn.https://www.mdpi.com/2218-1997/7/5/145collective levelsgiant resonancesnuclear density functional theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nikolay N. Arsenyev Alexey P. Severyukhin |
spellingShingle |
Nikolay N. Arsenyev Alexey P. Severyukhin Origin of Low- and High-Energy Monopole Collectivity in <sup>132</sup>Sn Universe collective levels giant resonances nuclear density functional theory |
author_facet |
Nikolay N. Arsenyev Alexey P. Severyukhin |
author_sort |
Nikolay N. Arsenyev |
title |
Origin of Low- and High-Energy Monopole Collectivity in <sup>132</sup>Sn |
title_short |
Origin of Low- and High-Energy Monopole Collectivity in <sup>132</sup>Sn |
title_full |
Origin of Low- and High-Energy Monopole Collectivity in <sup>132</sup>Sn |
title_fullStr |
Origin of Low- and High-Energy Monopole Collectivity in <sup>132</sup>Sn |
title_full_unstemmed |
Origin of Low- and High-Energy Monopole Collectivity in <sup>132</sup>Sn |
title_sort |
origin of low- and high-energy monopole collectivity in <sup>132</sup>sn |
publisher |
MDPI AG |
series |
Universe |
issn |
2218-1997 |
publishDate |
2021-05-01 |
description |
Beginning with the Skyrme interaction, we study the properties of the isoscalar giant monopole resonances (ISGMR) of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>132</mn></msup></semantics></math></inline-formula>Sn. Using the finite-rank separable approximation for the particle-hole interaction, the coupling between one- and two-phonon terms in the wave functions of excited states is taken into account in very large configurational spaces. The inclusion of the phonon–phonon coupling (PPC) results in the formation of a low-energy <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>0</mn><mo>+</mo></msup></semantics></math></inline-formula> state. The PPC inclusion leads to a fragmentation of the ISGMR strength to lower energy states and also to a higher energy tail. Using the same set of parameters, we describe the available experimental data for the ISGMR characteristics of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>118</mn><mo>,</mo><mn>120</mn><mo>,</mo><mn>122</mn><mo>,</mo><mn>124</mn></mrow></msup></semantics></math></inline-formula>Sn and give a prediction for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mrow><mn>126</mn><mo>,</mo><mn>128</mn><mo>,</mo><mn>130</mn><mo>,</mo><mn>132</mn></mrow></msup></semantics></math></inline-formula>Sn. |
topic |
collective levels giant resonances nuclear density functional theory |
url |
https://www.mdpi.com/2218-1997/7/5/145 |
work_keys_str_mv |
AT nikolaynarsenyev originoflowandhighenergymonopolecollectivityinsup132supsn AT alexeypseveryukhin originoflowandhighenergymonopolecollectivityinsup132supsn |
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