1.1 Neutron Star as a Gigantic Nucleus

Fig. 1-1 The presumed structure of a neutron star

Fig. 1-2 The structure of low density nuclear matter calculated by means of molecular dynamics
The picture corresponds to the supernova matter which involves the same number of protons and neutrons. Red and white particles represent protons and neutrons, respectively.




Matter consisting of protons, neutrons, pions and the like is called hadron matter or nuclear matter. A well-known typical example representing hadron matter is the nucleus, which has a spherical shape of minute radius of a few fm (1 fm = 10-15 m), balancing nuclear forces and Coulomb forces and constrained by the Pauli principle. It is well known that the density has almost the same value for all nuclei, which is usually called the saturation density denoted by rho0, and is uniformly distributed inside a nucleus.
As for macroscopic systems of nuclear matter, there exist neutron stars and supernovae (a supernova shows up as the very first stage of a neutron star in the process of its birth).
A neutron star is a celestial body of radius about 10 km made up mostly of neutrons with a central density several times larger than the saturation density, and with a much lower peripheral density (Fig. 1-1). Low-density nuclear matter plays an important role in celestial phenomena such as the process of supernova explosion, exerting an influence upon the neutrino absorption process which has a strong effect on the explosion strength and also an influence upon the mutual interaction between nuclei and neutron superfluid vortices, which is considered as one of the reasons for the variation of the rotation period of a neutron star. The detailed mechanisms of these phenomena are, however, as yet unknown.
Molecular dynamics, which is utilized for the study of microscopic nuclear reactions, has the excellent feature that it enables us to know the position and the momentum of each constituent particle and it requires very few assumptions to perform calculations in detail. Fig. 1-2 shows the ground state structure of nuclear matter calculated by means of molecular dynamics. As the density decreases to less than the saturation density, a non-uniform density distribution develops leading eventually to a layer, cylindrical or spherical structure. Although such a structural change has been already expected in the past, this study, using molecular dynamics, reveals new facts e.g. that the regularity of the structure is not always complete or that small individual particles co-exist in the structure and so on. One of the future aims of this study is to reveal the structure of hadron matter in more detail and to investigate its effect upon celestial phenomena



Reference
T. Maruyama et al., Quantum Molecular Dynamics Approach to the Nuclear Matter below the Saturation Density, Phys. Rev., C, 57 (2), 655 (1998).

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