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      • KCI등재

        Neutron Skin Size Dependence of the Nuclear Symmetry Energy

        S. J. Lee,A. Z. Mekjian 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.62 No.11

        The nuclear binding energy with emphasis on the symmetry energy is studied using a finite temperature density functional theory. A Skyrme interaction is used in this work. Volume, surface,and symmetry energy contributions to the binding energy are investigated. The case of neutron skin is considered in detail. The ratio of the surface symmetry energy to the volume symmetry energy for the neutron-skin-dependent part is much larger than the corresponding ratio for the neutronskin-independent part. This shows that a large part of the surface symmetry energy comes from the different sizes of the neutron and the proton distributions. The neutron-skin-size-dependent parts of the symmetry energy coefficients have the same sign as the neutron-skin-independent parts, which indicates that a larger neutron skin causes a lager symmetry energy.

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        Interrelationship of Isospin and Angular Momentum

        Larry Zamick,Suk-Joon Lee,A. Z. Mekjian 한국물리학회 2005 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.47 No.1

        It is noted that the simple interaction in isospin variables, a(1/4 − t(i) · t(j)), in a single j shell calculation can also be written with angular momentum variables. For the configuration (j2)JA for even JA, the isospin is one; for odd JA, it is zero. Hence, the above interaction can also be written as a(1 − (−1)JA)/2. For the I = 0 state of an even-even Ti isotope with n neutrons,the Hamiltonian matrix element of this interaction is h[J0J0]0|H|[JJ]0i/a = (n + 1)JJ0 − (n + 1)jnJj|}jn+1jjnJ0j|}jn+1j. The eigenvalues of this interaction can be found by using the isospin form of the interaction. They are (n+1)a for T = |N −Z|/2 and zero for T = |N −Z|/2+2. One can apply this to some extent to obtain the number of pairs of nucleons with given total angular momentum JA in a given Ti isotope.

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