Abstract

Centroid energies, \(E_{\textrm{CEN}}\), of the isoscalar (\(T=0\)) and isovector (\(T=1\)) giant resonances of multipolarities \(L_{m}=0\)–3 in \({}^{\mathrm{40,48}}\)Ca, \({}^{\mathrm{68}}\)Ni, \({}^{\mathrm{90}}\)Zr, \({}^{\mathrm{116}}\)Sn, \({}^{\mathrm{144}}\)Sm, and \({}^{\mathrm{208}}\)Pb, were calculated within the fully self-consistent spherical Hartree–Fock (HF)-based random-phase approximation (RPA) theory, using 33 different energy density functionals associated with Skyrme-type effective nucleon–nucleon interactions of the standard form commonly employed in the literature. We also calculate the Pearson linear correlation coefficients between each \(E_{\mathrm{CEN}}\) and each bulk property of nuclear matter (NM), associated with the Skyrme interactions used in the calculations, and determine the sensitivity of \(E_{\mathrm{CEN}}\) to bulk properties of NM. By comparing the calculated values of \(E_{\textrm{CEN}}\) to the experimental data, we constrain the values of the bulk NM properties. We find that interactions associated with the values of the NM effective mass, \(m^{\ast}/m=0.70\)–0.90, incompressibility coefficient, \(K_{\textrm{NM}}=210\)–240 MeV, and the enhancement coefficient of the energy-weighted sum rule of the isovector giant dipole resonance, \(\kappa=0.25\)–0.70, best reproduce the experimental data.

中文翻译：

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封闭壳核中的等量标量和等矢量巨共振以及核物质的本体性质

摘要

等量（\（T = 0 \））和等矢量（\（T = 1 \））的多极性巨共振\（L_ {m} =的质心能量\（E _ {\ textrm {CEN}}} \）0 \） –3 in \（{} ^ {\ mathrm {40,48}} \） Ca，\（{} ^ {\ mathrm {68}} \） Ni，\（{} ^ {\ mathrm {90 }} \） Zr，\（{} ^ {\ mathrm {116}} \） Sn，\（{} ^ {\ mathrm {144}} \） Sm和\（{} ^ {\ mathrm {208} } \）Pb是在完全自洽的基于球形Hartree-Fock（HF）的随机相位近似（RPA）理论中计算的，使用了33种不同的能量密度泛函，与标准形式的Skyrme型有效核子-核子相互作用相关在文学中。我们还计算了每个\（E _ {\ mathrm {CEN}} \）和每个核物质的整体性质（NM）之间的皮尔森线性相关系数，并与计算中使用的Skyrme相互作用相关联，并确定了\（ E _ {\ mathrm {CEN}} \）到NM的批量属性。通过比较\（E _ {\ textrm {CEN}} \）的计算值根据实验数据，我们限制了整体NM特性的值。我们发现与NM有效质量值\（m ^ {\ ast} /m=0.70 \）–0.90，不可压缩系数\\（K _ {\ textrm {NM}} = 210 \）– 240相关的相互作用MeV和等矢量巨型偶极子共振能量加权和规则的增强系数\（\ kappa = 0.25 \）– 0.70，可以最好地再现实验数据。