TAILIEUCHUNG - Using the method of the second quantization to investigate the phenomenon of superfluidity in asymmetric nuclear matter

In this paper we use the method of the second quantization to investigate possibility of superfluidity formation in the asymmetric nuclear matter. Using quasi-spin formalism to study the problem of deuteron condensation and applying the Hatree - Fock - Bogoliubov approximation to investigate the exceeding neutron system in the deuteron condensation. | JOURNAL OF SCIENCE OF HNUE Natural Sci. 2010 Vol. 55 No. 6 pp. 44-56 USING THE METHOD OF THE SECOND QUANTIZATION TO INVESTIGATE THE PHENOMENON OF SUPERFLUIDITY IN ASYMMETRIC NUCLEAR MATTER Le Cong Tuong Pham Thi Nu Hanoi National University of Education Vo Hanh Phuc Tran Duy Khuong Institute of Nuclear Science and Technology E-mail tuonglc@ Abstract. In this paper we use the method of the second quantization to investigate possibility of superfluidity formation in the asymmetric nu- clear matter. Using quasi-spin formalism to study the problem of deuteron condensation and applying the Hatree - Fock - Bogoliubov approximation to investigate the exceeding neutron system in the deuteron condensation we obtain the total energy E and state vector ψ of the initial asymmetric nuclear matter. After that we investigate the onset of superfluidity in the exceeding neutron system. Finally these results of numerical calculation of the gap function the excited energy of a quasi-particle pair the criti- cal temperature TC have been discussed and compared with that of other authors. Keywords nuclear matter superfluidity. 1. Introduction The possible onset of superfluidity in nuclear matter was investigated soon after the formulation of the Bardeen Cooper and Schrieffer BCS theory of super- conductivity 1 and the pairing correlation theory of atomic nuclei 1 . According to BCS approach 3 applied to nuclear matter one showed that a superfluid phase could exist for a wide class of nucleon-nucleon potentials 4 . At low temperatures as it is well known in nuclei nuclear matter and neutron matter neutron stars superfluidity can arise in the isospin triplet channel 5 . In the traditional understanding superfluidity of finite nuclear matter is re- garded as superfluidity of the two independent systems of protons and neutrons in which the protons and neutrons form pp and nn Cooper pairs. In some recent researches on the superfluidity in symmetric nuclear matter 6 7 one assumed

• Vật lý
• Asymmetric nuclear matter
• The second quantization
• Natural science
• Quasi particle pair
• The critical temperature TC
• Tạp chí khoa học
• Effective potential
• First order
• Mathematical and Physical
• High nuclear density
• Chiral symmetry
• The liquid gas phase transition
• The equations of state
• Extended Nambu Jona Lasinio
• Examining effective potential
• Isospin dependence
• High Tc superconductivity
• Li doping
• AC susceptibility measurements
• Doping hole
• X ray powder diffraction