Theoretical Study Of Proton Drip Line Position Near Z=50 Indicated By Nuclear Shell Model

The study of unstable nuclei near the borders between unbound and bound systems(drip line)has always been an essential topic in the field of nuclear physics.Finding and correctly describing the nucleus on the drip line are the main challenges in the theoretical research of nuclear physics,and researchers are trying to synthesize unstable nuclei approach or even cross the drip line.Meanwhile,the study of nuclei near the proton drip line is of great value for detecting the properties of exotic nuclei with a large number of neutron deficits and is of great astrophysical significance in the fast proton capture process(rp-process)of nuclei synthesis in stars.However,synthesizing proton drip line nuclei and finding the positions of proton drip line in the experiment is difficult,there are still many proton drip line that has not been found,theoretical prediction is particularly important.In this paper,we calculated the single-proton separation energy,based on the nuclear shell model in this region,to located the proton drip line near Z=50.Also,we calculated the?+-decay half-lives of some nuclei near the predicted proton drip line.The main content of paper includes:1.In this paper,the position of the proton rich drip line near Z=50 is predicted theoretically based on the nuclear shell model,and it is forecast that (?),and (?)are the proton drip line nuclei.2.The ground state J? and single-proton separation energy of proton rich nuclei (?),and (?) near Z=50 are calculated by using the shell model.The accuracy and reliability of this method are verified by comparing the theoretical values with experimental results.On this basis,the ground state J? of 19 nuclei is predicted.3.Based on the obtained proton drip line position near Z=50,the drip line nuclei?-decay properties are further studied.After summarizing the existing theoretical research formulas and making a series of corrects,the drip line nuclei ?-decay energy is calculated.The experimental values are close to the calculated results,which greatly prove the reliability of the theoretical calculation values.Meanwhile,the nuclei ?-decay energies lacing relevant experimental values are predicted according to the reliable calculations.4.The ?-decay half-lives of the drip line nuclei are calculated by the nuclear shell model.The existing experimental results are similar to those calculated in this paper.This reflects the feasibility of predicting the ?-decay half-live of some nuclei that have not been synthesized near the drip line.Based on this,the ?-decay half-live of related nuclei,which has not yet obtained experimental values,is predicted.In this paper,the position of proton drip line near Z=50 and the related properties of?-decay of drip line nuclei are studied by means of nuclear shell model.The present results can add some information about the proton drip line and can provide the possibility to predict the properties of the decaying of proton rich nuclei.