A partial wave scattering matrix for the total effective complex potential of nucleus nucleus collisions is proposed to easily analyze the angular variations of elastic scattering and fusion cross-sections simultaneou...A partial wave scattering matrix for the total effective complex potential of nucleus nucleus collisions is proposed to easily analyze the angular variations of elastic scattering and fusion cross-sections simultaneously with a unique potential.The expectation value of the imaginary part of the potential calculated using the distorted waves from the full potential in the elastic channel accounts for σ_(r).This is equated to the sum of the cross-sections due to absorption in different regions of the potential where the imaginary part is actively present.The potential is taken as energy independent and features a weakly absorbing nature,which supports the resonance states in various partial wave trajectories.Therefore,these resonances show oscillatory behavior changes with respect to energy D(E_(c.m.))=d^(2)(E_(c.m.)σ_(fus))/dE_(c.m.)^(2).In this paper,we discuss elastic scattering and fusion cross-sections in conjunction with the results of D(E_(c.m.))for the^(16)+^(92)Zr system.展开更多
This study investigates the structural properties of super-heavy nuclei with Z=130 by adopting the relativistic mean-field (RMF) theory within an axially deformed oscillator basis with the NL3 force parameter set. We ...This study investigates the structural properties of super-heavy nuclei with Z=130 by adopting the relativistic mean-field (RMF) theory within an axially deformed oscillator basis with the NL3 force parameter set. We study the binding energies, quadrupole deformation, nuclear radii, neutron separation energies, and other bulk properties. Moreover, we analyze the favorable decay modes for clear cognitive content of nuclei, such as alpha decay, using different formulae including the Viola-Seaberg, analytical formula of Royer, universal curve formula, and universal decay law. We compare these with the corresponding fission process. The spontaneous fission of super-heavy nuclei is studied with Z=130 within the mass region 310≤A≤340. The results exhibit good agreement with finite range droplet model (FRDM) data. This formalism presents a significant step forward in the study of the structure and decay modes of the isotopes of Z=130. With this appraisal, we investigate the possible shell/sub-shell closure for super-heavy nuclei adjacent by decay chains of alpha and other radioactive decay particles.展开更多
We examine the structural properties and half-life decay of Ra isotopes within the axially deformed Relativistic Mean-Field（RMF）theory with NL3 force parameters.We work out the binding energy（BE）,RMS radii,two-neu...We examine the structural properties and half-life decay of Ra isotopes within the axially deformed Relativistic Mean-Field（RMF）theory with NL3 force parameters.We work out the binding energy（BE）,RMS radii,two-neutron separation energies（S（2n））,and some other observables.The results are in good agreement with the finite-range droplet model（FRDM）and experimental results.Considering the possibility of neutron magic number,theα-decay and cluster decay half-lives of Ra isotopes are calculated systematically using the Q-values obtained from the RMF formalism.These decay half-life calculations are carried out by taking three different empirical formulae.The calculated decay half-lives are found to be highly sensitive to the choice of Q-values.Possible shell or sub-shell closures are found at daughter nuclei with N=128 and N=126 when alpha and 8Be,12C,18O respectively are emitted from Ra isotopes.Though the cluster radioactivity is affected by the shell closure of parent and daughter,a long half-life indicates the stability of the parent,and a small parent half-life indicates that the shell stability of the daughter against decay.展开更多
文摘A partial wave scattering matrix for the total effective complex potential of nucleus nucleus collisions is proposed to easily analyze the angular variations of elastic scattering and fusion cross-sections simultaneously with a unique potential.The expectation value of the imaginary part of the potential calculated using the distorted waves from the full potential in the elastic channel accounts for σ_(r).This is equated to the sum of the cross-sections due to absorption in different regions of the potential where the imaginary part is actively present.The potential is taken as energy independent and features a weakly absorbing nature,which supports the resonance states in various partial wave trajectories.Therefore,these resonances show oscillatory behavior changes with respect to energy D(E_(c.m.))=d^(2)(E_(c.m.)σ_(fus))/dE_(c.m.)^(2).In this paper,we discuss elastic scattering and fusion cross-sections in conjunction with the results of D(E_(c.m.))for the^(16)+^(92)Zr system.
基金Supported by project No.SR/FTP/PS-106/2013,SERB,DST,Govt.of India
文摘This study investigates the structural properties of super-heavy nuclei with Z=130 by adopting the relativistic mean-field (RMF) theory within an axially deformed oscillator basis with the NL3 force parameter set. We study the binding energies, quadrupole deformation, nuclear radii, neutron separation energies, and other bulk properties. Moreover, we analyze the favorable decay modes for clear cognitive content of nuclei, such as alpha decay, using different formulae including the Viola-Seaberg, analytical formula of Royer, universal curve formula, and universal decay law. We compare these with the corresponding fission process. The spontaneous fission of super-heavy nuclei is studied with Z=130 within the mass region 310≤A≤340. The results exhibit good agreement with finite range droplet model (FRDM) data. This formalism presents a significant step forward in the study of the structure and decay modes of the isotopes of Z=130. With this appraisal, we investigate the possible shell/sub-shell closure for super-heavy nuclei adjacent by decay chains of alpha and other radioactive decay particles.
基金Supported by Project No.SR/FTP/PS-106/2013,SERB,DST,Govt.of India
文摘We examine the structural properties and half-life decay of Ra isotopes within the axially deformed Relativistic Mean-Field（RMF）theory with NL3 force parameters.We work out the binding energy（BE）,RMS radii,two-neutron separation energies（S（2n））,and some other observables.The results are in good agreement with the finite-range droplet model（FRDM）and experimental results.Considering the possibility of neutron magic number,theα-decay and cluster decay half-lives of Ra isotopes are calculated systematically using the Q-values obtained from the RMF formalism.These decay half-life calculations are carried out by taking three different empirical formulae.The calculated decay half-lives are found to be highly sensitive to the choice of Q-values.Possible shell or sub-shell closures are found at daughter nuclei with N=128 and N=126 when alpha and 8Be,12C,18O respectively are emitted from Ra isotopes.Though the cluster radioactivity is affected by the shell closure of parent and daughter,a long half-life indicates the stability of the parent,and a small parent half-life indicates that the shell stability of the daughter against decay.
