2018/02/17 by S. B. Doma, Doma, S. B., H. S. El-Gendy +1
Physics and Astronomy · Engineering · #Nuclear physics research studies #Particle accelerators and beam dynamics #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.1802.07183
The ground and excited states of the 3H and 4He nuclei are studied in the\nframework of group-theoretical methods. Basis functions of the unitary scheme\nmodel corresponding to even numbers of quanta of excitation in the range from\nzero to twenty are constructed for the even-parity states of these two nuclei,\nand bases from one to nineteen are constructed for the odd-parity states of the\n4He nucleus. The ground-state and first-excited-state energies and wave\nfunctions, the ground S-, P- and D-state probabilities, the root-mean-square\nradius and the magnetic dipole moment of Triton are calculated. Furthermore,\nfor the 4He nucleus, the spectrum and the wave functions, the ground S-, P- and\nD-state probabilities, the root-mean-square radius and the total integral cross\nsection of the dipole electric transition accompanying the photoabsorption of\ngamma quanta by this nucleus are calculated. The GPT and AV8' two-body\ninteractions and the Urbana nine three-nucleon interaction are used in these\ninvestigations. Moreover, the convergence of the calculations is examined by\nincrementally extrapolating the nuclear characteristics calculated for N less\nthan or equal to twenty to N equals thirty.\n