As a cluster overlap amplitude,the reduced-width amplitude is an important physical quantity for analyzing clustering in the nucleus depending on specified channels and has been calculated and widely applied in nuclea...As a cluster overlap amplitude,the reduced-width amplitude is an important physical quantity for analyzing clustering in the nucleus depending on specified channels and has been calculated and widely applied in nuclear cluster physics.In this review,we briefly revisit the theoretical framework for calculating the reduced-width amplitude,as well as the outlines of cluster models to obtain microscopic or semi-microscopic cluster wave functions.We also introduce the recent progress related to cluster overlap amplitudes,including the implementation of cross-section estimation and extension to three-body clustering analysis.Comprehensive examples are provided to demonstrate the application of the reduced-width amplitude in analyzing clustering structures.展开更多
Symplectic symmetry approach to clustering(SSAC)in atomic nuclei,recently proposed,is modified and further developed in more detail.It is firstly applied to the light two-cluster^(20)Ne+αsystem of^(24)Mg,the latter e...Symplectic symmetry approach to clustering(SSAC)in atomic nuclei,recently proposed,is modified and further developed in more detail.It is firstly applied to the light two-cluster^(20)Ne+αsystem of^(24)Mg,the latter exhibiting well developed low-energy K^(π)=0_(1)^(+),k^(π)=2_(1)^(+) and π^(π)=0_(1)^(-) rotational bands in its spectrum.A simple algebraic Hamiltonian,consisting of dynamical symmetry,residual and vertical mixing parts is used to describe these three lowest rotational bands of positive and negative parity in^(24)Mg.A good description of the excitation energies is obtained by considering only the SU(3)cluster states restricted to the stretched many-particle Hilbert subspace,built on the leading Pauli allowed SU(3)multiplet for the positive-and negative-parity states,respectively.The coupling to the higher cluster-model configurations allows us to describe the known low-lying experimentally observed B(E2)transition probabilities within and between the cluster states of the three bands under consideration without the use of an effective charge.展开更多
The application scope of the analytic continuation in the coupling constant(ACCC)can be extended to the exchange parameters of the effective nucleon-nucleon interaction in the microscopic cluster model.Based on such a...The application scope of the analytic continuation in the coupling constant(ACCC)can be extended to the exchange parameters of the effective nucleon-nucleon interaction in the microscopic cluster model.Based on such an exchange parameter dependent ACCC(abbreviated as EPD-ACCC),we examine the_(∧)^(9)Be system in the framework of theα+Q+∧microscopic cluster model.The particle emission from excited states ofα+α+∧are investigated,and the corresponding resonant energies are obtained via EPD-ACCC.Furthermore,the complex scaling method(CSM)is applied for comparison.A good agreement between these two theoretical approaches is obtained.This study demonstrates EPD-ACCC to be a reliable method for estimating multi-cluster resonances in light hypernuclei.展开更多
基金supported by the National Key R&D Program of China(No.2023YFA1606701)the National Natural Science Foundation of China(Nos.12175042 and 12147101)。
文摘As a cluster overlap amplitude,the reduced-width amplitude is an important physical quantity for analyzing clustering in the nucleus depending on specified channels and has been calculated and widely applied in nuclear cluster physics.In this review,we briefly revisit the theoretical framework for calculating the reduced-width amplitude,as well as the outlines of cluster models to obtain microscopic or semi-microscopic cluster wave functions.We also introduce the recent progress related to cluster overlap amplitudes,including the implementation of cross-section estimation and extension to three-body clustering analysis.Comprehensive examples are provided to demonstrate the application of the reduced-width amplitude in analyzing clustering structures.
文摘Symplectic symmetry approach to clustering(SSAC)in atomic nuclei,recently proposed,is modified and further developed in more detail.It is firstly applied to the light two-cluster^(20)Ne+αsystem of^(24)Mg,the latter exhibiting well developed low-energy K^(π)=0_(1)^(+),k^(π)=2_(1)^(+) and π^(π)=0_(1)^(-) rotational bands in its spectrum.A simple algebraic Hamiltonian,consisting of dynamical symmetry,residual and vertical mixing parts is used to describe these three lowest rotational bands of positive and negative parity in^(24)Mg.A good description of the excitation energies is obtained by considering only the SU(3)cluster states restricted to the stretched many-particle Hilbert subspace,built on the leading Pauli allowed SU(3)multiplet for the positive-and negative-parity states,respectively.The coupling to the higher cluster-model configurations allows us to describe the known low-lying experimentally observed B(E2)transition probabilities within and between the cluster states of the three bands under consideration without the use of an effective charge.
基金Supported by the National Natural Science Foundation(12035011,11905103,11947211,11761161001,11961141003,12022517,12375122)the National Key R&D Program of China(2023YFA1606503)+1 种基金the Science and Technology Development Fund of Macao(0048/2020/A1,008/2017/AFJ)the Fundamental Research Funds for the Central Universities(22120210138,22120200101)。
文摘The application scope of the analytic continuation in the coupling constant(ACCC)can be extended to the exchange parameters of the effective nucleon-nucleon interaction in the microscopic cluster model.Based on such an exchange parameter dependent ACCC(abbreviated as EPD-ACCC),we examine the_(∧)^(9)Be system in the framework of theα+Q+∧microscopic cluster model.The particle emission from excited states ofα+α+∧are investigated,and the corresponding resonant energies are obtained via EPD-ACCC.Furthermore,the complex scaling method(CSM)is applied for comparison.A good agreement between these two theoretical approaches is obtained.This study demonstrates EPD-ACCC to be a reliable method for estimating multi-cluster resonances in light hypernuclei.
