[en] A simple theory of the heavy-ion optical potential ν, based on the local density approach and the frozen density model, is used to derive the energy dependent proximity approximation ν^P for the complex potential ν. Both ν and ν^P are calculated, and the accuracy of the proximity approximation and the scaling law implied by the approximation is tested. (author)

[en] This paper reports on final state interactions embodied by the optical potential felt by the particle described by solving its inhomogeneous equation with source production term. This approach is equivalent to the conventional scattering theory for reaction processes. The source method is applied to some specific cases such as β-decay, proton decay and coherent φ⁰ photoproduction

[en] The present paper deals with an investigation on the cluster decay of even clusters "4He, "8","1"0Be, "1"4C, "1"8","2"0","2"2O", "2"2","2"4","2"6Ne, "2"8","3"0Mg and odd clusters "1"5N, "2"3F, "2"5Ne, "2"9Mg from both the even-even and even-odd isotopes of Z=126, which has helped in predicting the neutron magicity beyond N=126

[en] Large number of theoretical effects has been put forward to give simple and most comprehensive form of ion-ion interaction using various microscopic/macroscopic theories. Among such attempts proximity potential is well known for it simplicity and numerous applications. At the same time it is also clear from the literature that original proximity potential overestimate the experimental data by 4%. Recently a new form of the proximity potential is also suggested to remove the above discrepancy between theory and data. But results are not in good agreement. The proximity potential have been trying to modify keeping the original form of the proximity potential unaltered by using up to date knowledge of the universal function, surface energy coefficient and nuclear radius

[en] We have studied the alpha decay properties of actinides using seven different proximity potentials MP 77, MP 81, Bass 77, Prox 13, Ng80, DP00 and Prox 00. The values produced by the present work are compared with experiments. Decay chains of actinides are presented. The present work is useful in the study of decay modes of actinides. (author)

[en] In this paper, the systematics for obtaining the Viola-Seaborg formula (VSF) for logarithmic partial alpha half-lives (T^α1/2) have been undertaken based on the NUBASE2016 evaluation. The constants Az and Bz in Geiger-Nuttal law for determination of T^α1/2, are obtained using gs-gs transitions data, of even-even nuclei for two sets of nuclei with Z = 84 - 102 and Z = 86 - 98 with N > 126. The Viola-Seaborg co-efficient are determined for both the sets. The obtained parameters for both sets are tested on even-even nuclei for Z ranging from 104-118 and it is observed that first set parameters fare better. This formula for estimating α-decay half-lives of heavy nuclei can be extrapolated to predict those of super-heavy nuclei. The logarithmic half-lives T^α1/2 obtained for isotopes of Z = 121 and 122 using current modified VSF (AME2016) are compared with those obtained from theoretical considerations using Coulomb and proximity potential model (CPPM) and observed to be much larger. They are also much larger than those obtained from the previous coefficients based on AME2003 data. (author)

[en] Nuclear physics deals with the study of structure of nuclei as well as interactions among these nuclei and their nucleons. This study is quite helpful in the formation of super-heavy elements, which are synthesized either by cold fusion reactions or by hot fusion reactions. Fusion barriers play significant role in deciding the fate of a fusion reaction. These fusion barriers can be derived from the total interaction potential, which is sum of attractive nuclear potential and repulsive Coulomb potential. Our aim is to give pocket formulae, which can be used to directly estimate the barrier parameters. With this aim in our mind, we parameterize the fusion barriers for helium induced reactions using various proximity potentials

[en] The hypothesis of compound nucleus was put forwarded by Niels Bohr in 1936 and verified experimentally in 1950 by SN Ghoshal. This process takes places in two steps, firstly, formation of compound nucleus with complete amalgamation of target and projectile, secondly, the disintegration of the compound nucleus. The decay of compound nucleus has been investigated within statistical as well as non-statistical or dynamical approaches. Within dynamical cluster decay model (DCM) fragmentation potential comprises of the sum of binding energies, nuclear proximity potential, Coulomb potential and rotational energy. The investigation of these contributions in the fragmentation potential is the aim of the present work

[en] During the last two decades, significant progress has been made in the experimental investigation of processes leading to super heavy nuclei, their decay properties and structure. In the present work we have examined possible decay modes such as proton decay using Coulomb and Proximity potential Model (CPPM)β^±-decay and an alpha decay are evaluated using semi-empirical relations in the isotopes of Bismuth. The different decay modes such as proton decay, beta-decay and an alpha decay have been evaluated using CPPM and semi-empirical relations in the isotopes of Bismuth. The values obtained from the present work were comparable with the experiments. Around 9 α emitters, one proton emitter, 18 β⁺ emitters and 33 β^- emitters were identified. Among the β^- emitters, around 25 new emitters from ²²⁰Bi to ²⁴⁴Bi were newly identified. These identified new β^- emitters are useful in the field of radiotherapy

[en] Alpha decay half-lives of heavy and superheavy nuclei are studied by using eight different nuclear potentials such as Denisov potential (DP00), Christensen and Winther potential (CW), Broglia and Winther potential 1991 (BW91), Aage Winther potential (AW95), Bass 1973 (Bass73), Bass 1977 (Bass77), Bass 1980 (Bass80) and nuclear proximity 2000 (Prox00). Alpha decay half-lives produced by these potentials are compared with that of experiments. Alpha decay half-lives resulting from Prox00 show good agreement with the experimental data. The deviations produced by these potentials are predicted using statistical parameters such as root mean square deviation σ, mean deviation (δ), index f and root mean square error. The Prox00 nuclear potential exhibits minimal deviations when predicting experimental half-lives in heavy and superheavy nuclei, outperforming seven other potential models. Hence, Prox00 may be used to predict alpha decay half-lives of heavy and superheavy nuclei. (author)