Resonances of the bonding potential of¹²C+¹²C system

Abstract

The description of the quasimolecular states observed in the "C + "C collisions, using a Morse-type potential in a di-nuclear picture, yielded the parameters of the bonding potential. The depth of the potential being 7 MeV, all states lying below it are well described as bound states. The calculation of phase shifts and the corresponding cross sections yields fifteen resonances with higher angular momenta, up to L = 12, which are close to the energies of the experimentally observed ones. This reaffirms the diatomic-like rotational and vibrational picture of the quasi-molecular states proposed earlier.

C12+12C ‘‘6

“…Taking the rotational spacing of the 6n LCC as h /2+=22 keV (as predicted by the CCM) and that of two touching C nuclei in the elastic band as 90 keV results in a band crossing at E 50 MeV for L=16 [6], confirming observation of the L=14,16 dominant angular momenta [2]. An alternative explanation is o8'ered by Satpathy and Sarangi, who have applied a dynamic bonding-potential model [10] to the 02 +02 channel [11], as an extension of their dinucleus rotation-vibration picture of C+ C scattering resonances [12]. An increase in cross section at E, =33.09 MeV with L=14 is predicted, precluding the necessity for population of any compound state in Mg.…”

Resonance states in 16O+16O, 12C+16O, α+16O and α+12C with modified Morse potentials

“…Following the usual phase-shift method, the resonances were calculated and about 36 states could be described. Subsequently this approach was applied to 16 O+ 16 O, 12 C+ 16 O, α+ 12 C and α+ 16 O with equal success [9,[12][13][14]. The mechanism of resonances that emerged from this study [9] is the following.…”

“…The modified Morse potential produces more than 25 states starting from ground state up to excitation energy as high as 40 MeV in accordance with experiment. It is desirable to have a comparison with the 12 C+ 12 C system [12] where the highest spin state observed was 12 + at about 20 MeV of excitation. This feature is a reflection of the comparatively shallower modified Morse potential of about 3 MeV compared to that of 16 O+ 16 O which is about 5.13 MeV.…”

Resonant states and pseudospin symmetry in the Dirac-Morse potential

“…Nasser et al [38] have adopted the J-matrix method to examine not only the bound states but also resonances associated with the rotating Morse potential model. Satpathy et al [39][40][41][42] have employed the long-ranged Morse potential between two carbon nuclei in order to obtain many vibrational states which can be compared with observed resonance levels. Kato and Abe [43] have applied the Morse potential model to the 12 C-12 C system as a typical example of the molecular resonances observed in many lighter heavy-ion collisions.…”