Nuclear deformations of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Mg</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>24</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">Si</mml:mi></mml:mrow><mml:mprescripts /><mm

Haouat, G.; Lagrange, Ch.; Swiniarski, R. de; Dietrich, F. S.; Delaroche, J. P.; Patin, Y.

doi:10.1103/physrevc.30.1795

Cited by 24 publications

(47 citation statements)

References 97 publications

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“…This assumption agrees with the experimental value of quadrupole deformation β 2 = −0.42 ± 0.02 (see Ref. [9]). Comparison of the spectroscopic data for 30 Si with the Nilsson model predictions also suggests the negative deformation with β = −0.2 [10].…”

Section: Rigidities Of Si Isotopessupporting

confidence: 80%

Influence of neutron surface onE1 resonance properties

Goncharova

Tretyakova

Fedorov

2016

EPJ Web of Conferences

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Abstract. The E1 strength distributions in even-even Si isotopes were calculated in the "particle-core coupling" version of the shell model taking into account the fragmentation of the hole configuration among the states of the daughter nuclei. The comparison of calculated strength distributions in different isotopes of the same element shows the peculiarities of a neutron surface influence on the E1 resonance fragmentation.The problem of theoretical description of the excited states of light nuclei has been discussed for many years. Various model approaches have achieved success in the study of highly excited nuclear states, primarily E1 resonance, as this state is the most studied experimentally [1]. From comparison of the experimental photo-excitation cross sections it is seen that a consistent increase in the number of neutrons in the isotopic chain changes drastically the resonance structure. Especially, these changes are critical in the area of light nuclei A < 50, where the resonance structure is important. Theoretical description of dipole resonances in some even isotopes of Ti and Ca was performed in the previous paper [2]. In this work the structure of excitations of 28 Si and 30 Si isotopes is discussed. Particle-core coupling shell modelThe increasing amount of experimental data on structure of multipole giant resonances (GR) in the cross sections of nuclear reactions has shown that microscopic approach considering only particle-hole configurations cannot reproduce a complicated structure of GR. One of the possible ways to build a set of basic configurations which could be used as doorway states in the microscopic description of nuclear resonances is to take into account the distributions of the "hole" configurations among the states with total momentum J, excitation energy E and isospin T (JET ) A−1 of residual nuclei with mass number (A − 1). In the Particle Core Coupling version of Shell Model (PCC SM) these distributions are taken into account in microscopic description of multipole resonances (MR) [3,4]. Theoretical description of MR in 1p-shell nuclei based on the PCC SM has shown good agreement with experimental data for nuclei 7 ≤ A ≤ 15 [4].The wave functions of excited states of a nucleus in the PCC SM constructed as a product of the wave functions of the final nucleus (A − 1) and the wave functions of the a e-mail: n.g.goncharova@gmail.com nucleon(1) The set of states of the final nucleus in (1) has to include all states with the significant genealogical connection to the ground state of the target nucleusThe way to determine the probabilities of the various core states which appear when one of the nucleons would be extracted from the parent nucleus is to use the experimental data on the spectroscopic factors S i of direct pick-up reactions to estimate the coefficients of fractional parentageMGR probabilities could be calculated via the E1 form factorswhere the excitation matrix element is expressed in terms of matrix elements of one-nucleon transitions

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Section: Rigidities Of Si Isotopessupporting

confidence: 80%

Influence of neutron surface onE1 resonance properties

Goncharova

Tretyakova

Fedorov

2016

EPJ Web of Conferences

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“…Finally, we hope that new, high-resolution (p,pn) and (p,2p) measurements will be performed, similar to those recently accomplished for 40 Ca by Ref. [73].…”

Section: Discussionmentioning

confidence: 63%

“…These measurements were performed with an energy resolution of ∆E = 2.7 MeV [39], making it impossible to seperate scattering from the ground state and from the first 2 + excited states at E x = 1.779 MeV. Therefore, we made an estimate of the inelastic scattering angular distribution at this incident energy, performing a DWBA calculation (using the KD potential) and a quadrupole deformation parameter inferred from a neutron inelastic scattering analysis for 28 Si [40]. The same method, using ECIS94 [41], was used with success in Ref.…”

Section: Scattering Model Analyses a Database And Standard Om Amentioning

confidence: 99%

Neutron scattering from28Si and32S from 8.0 to 18.9 MeV, dispersive optical model analyses, and ground-state correlations

et al. 2012

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“…Despite the well-established rotational nature of 28 Si (having both quadrupole and hexadecapole deformations), it was found that a coupled-channels calculation with a vibrational coupling to its first 2 + state reproduces the structure of the barrier distribution rather well. Subsequently, it was observed that the resolution of this anomaly lies in the large hexadecapole deformation parameter of 28 Si, which has the opposite sign to the quadrupole deformation parameter. That is, the contribution to the reorientation coupling (2 + 1 → 2 + 1 ) from the quadrupole deformation is largely canceled out by that from the hexadecapole deformation, making the rotational coupling scheme look like the vibrational coupling scheme for this system.…”

Section: Introductionmentioning

confidence: 99%

“…This leads to almost identical results for the two coupling schemes. Since the quasielastic backward scattering is a process complementary to fusion, it thus shows a sensitivity of fusion mechanism to the hexadecapole deformation of 28 Si.…”

Section: Introductionmentioning

confidence: 99%

Role of hexadecapole deformation of projectile Si28 in heavy-ion fusion reactions near the Coulomb barrier

2018

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The vast knowledge of strong influence of quadrupole deformation β2 of colliding nuclei on heavyion subbarrier fusion reactions inspires a desire to quest the sensitivity of fusion dynamics to higher order deformations, such as β4 and β6 deformations. However, such studies have rarely been carried out, especially for deformation of projectile nuclei. In this article, we investigated the role of β4 of the projectile nucleus in fusion of the 28 Si + 92 Zr system. We demonstrated that the fusion barrier distribution is sensitive to the sign and the value of the β4 parameter of the projectile, 28 Si, and confirmed that the 28 Si nucleus has a large positive β4. This study opens an indirect way to estimate deformation parameters of radioactive nuclei using fusion reactions, which is otherwise difficult due to experimental constraints.

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Nuclear deformations ofMg24,Si

Cited by 24 publications

References 97 publications

Influence of neutron surface onE1 resonance properties

Influence of neutron surface onE1 resonance properties

Neutron scattering from28Si and32S from 8.0 to 18.9 MeV, dispersive optical model analyses, and ground-state correlations

Role of hexadecapole deformation of projectile Si28 in heavy-ion fusion reactions near the Coulomb barrier

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