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Title: Asymptotic freedom and dense stellar matter. II. The equation of state for neutron stars

Journal Article · · Astrophys. J.; (United States)
DOI:https://doi.org/10.1086/155866· OSTI ID:5041643

The behavior of the equation of state for cold, dense hadronic matter in asymptotically free gauge theories is examined as nuclear densities are approached from above. By requiring that the energy per baryon be a nucleon mass in the nuclear density regime we determine the on-shell mass for the lightest quarks to be about 355 MeV. We find that hadronic matter is highly incompressible above nuclear densities. Hyperonic matter does not appear at nuclear densities and begins to come in only above 7 x 10/sup 14/ g cm/sup -3/. However, the appearance of hyperonic matter softens the equation of state so that p/rho=0.2 at 10/sup 15/ g cm/sup -3/. This softening above 7 x 10/sup 14/ g cm/sup -3/ limits neutron star masses from getting exceptionally high, and we find the maximum to be 2.34 M/sub sun/ with central density 10/sup 15/ g cm/sup -3/ (keeping only the zeroth and first order perturbation contributions to the ground state energy and ignoring the second order which makes only a 10% correction at 6 x 10/sup 14/ g cm/sup -3/) for the currently favored experimental value of the quark fine structure constant. By including the second order, one may go down to about 4 x 10/sup 14/ g cm/sup -3/. Two distinct supernova mechanisms are indicated by our work, one of which occurs in conjuction with black hole formation.

Research Organization:
Enrico Fermi Institute and Department of Physics, University of Chicago
OSTI ID:
5041643
Journal Information:
Astrophys. J.; (United States), Vol. 219:3
Country of Publication:
United States
Language:
English