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In this thesis, we used Effective Field Theory (EFT) to calculate the radiative �� capture on 12C . This reaction is considered the “holy grail” in nuclear astrophysics because it determines the relevant abundance of 16O and 12C . We considered the E1 transition from initial �� wave at energy around the Gamow energy ���� =0.3MeV.The theoretical formula for the cross section is obtained by fitting the EFT parameters to the phase shift and S-factor data. We find the Effective Range Expansion (ERE) parameters describing the ��-wave phase shift are fine tuned. The shallow bound state and the resonance ��-wave states are also described.

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The 12C+16O breakup of 28Si and the 12C+12C breakup of 24Mg have been studied following the interaction of a 170 MeV 24Mg beam with 7Li, 9Be,12C and 16O target nuclei. The measurements were performed at the Australian National University in Canberra, using the technique of Resonant Particle Spectroscopy. The breakup fragments from the decay of the resonant nuclei were detected in two Gas-Si-CsI telescopes positioned on opposite sides of the beam axis. The data suggest that the same states in 28Si are populated via the 7Li(24Mg, 12C 16O)3H, 9Be(24Mg,12C 16O)5He and 12c(24Mg,12C 16O)8Be reactions. This implies that the cluster decaying states are populated by direct a-transfer. Breakup has been observed from states in 28Si at excitation energies (spins) of (26.15), 28.17 (13-, 29.51, 29.95, 30.45, 30.76, (31.3), 31.65, 31.90, 32.51, 33.14, 33.41, 33.77, 34.45 (12+,14+) and 35.13 MeV. A consistent theoretical interpretation of the 28Si molecular structures has been given, taking into account the predictions of Nilsson-Strutinsky, a-cluster model and two centre shell model calculations. The present results for the 12C(24Mg,12C 12C)12C reaction agree with previous measurements. In addition, new spin assignments have been proposed for several of the breakup states in 24Mg. States have been observed at excitation energies (spins) of 20.54 (2+), 21.07 (4+), 21.88 (4+), 22.33 (4+), 22.90 (6+), 23.80 (6+,(8+)), 24.56 (8+), 25.14 (6+), 25.72, 26.41 (8+) and 27.12 MeV. Evidence for the population of many of these states via the 16O(24Mg,12C 12C)16O reaction has also been observed. However, the data gave no evidence for either the 7Li(24Mg,12C 12C)7Li or 9Be(24Mg,12C 12C)9Be reactions. The presently available information did not allow an unambiguous determination of the reaction mechanism responsible for the population of the 24Mg breakup states. The performance of the Gas-Si-Csl telescopes has been investigated. For multiplicity 2 events in the silicon strip detectors, a crosstalk has been observed between the two active strips. The energy calibration of the silicon strip detectors for penetrating particles has also been found to differ to that for stopped particles. Empirical corrections for both of these effects have been deduced allowing the simultaneous detection and identification of heavy and light ions within a single telescope. These techniques have been extended to the detection of 8Be → alpha+alpha events over a wide range of alpha-particle energies.