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The single particle and bulk properties of the neutron-rich nuclei constrainfundamental issues in nuclear physics and nuclear astrophysics like the limitsof existence of quantum many body systems (atomic nuclei), the equation ofstate of neutron-rich matter, neutron star, nucleosynthesis, evolution ofstars, neutron star merging etc.. The state of the art of Coulomb breakup ofthe neutron-rich nuclei has been used to explore those properties. Unambiguousinformation on detailed components of the ground-state wave-function along withquantum numbers of the valence neutron of the nuclei have been obtained fromthe measurement of threshold strength along with the $\gamma$-rays spectra ofthe core following Coulomb breakup. The shape of this threshold strength is afinger-print of the quantum numbers of the nucleon. We investigated theground-state properties of the neutron-rich Na, Mg, Al nuclei around N $\sim$20 using this method at GSI, Darmstadt. Very clear evidence has been observedfor melting and merging of long cherished magic shell gaps at N = 20, 28. Theevanescent neutron-rich nuclei imprint their existence in stellar explosivescenarios (r-process etc.). Coulomb dissociation (CD) is one of the importantindirect measurements of the capture cross-section which may provide valuableinput to the model for star evolution process, particularly the r-process.  Some valuable bulk properties of the neutron-rich nuclei like the densitydependent symmetry energy,neutron skin etc. play a key role in understandingcosmic phenomena and these properties have been studied via electromagneticexcitation. Preliminary results of electromagnetic excitation of theneutron-rich nucleus, $^{32}$Mg are presented.

Weakly Bound Neutron-Rich Nuclei and Cosmic Phenomena