Quantum Corrections on Relativistic Mean Field Theory for Nuclear Matter

【摘要】 <正> We propose a quantization procedure for the nucleon-scalar meson system,in which an arbitrary meanscalar meson field φ is introduced.The equivalence of this procedure with the usual one is proven for any given value ofφ.By use of this procedure,the scalar meson field in the Walecka’s MFA and in Chin’s RHA are quantized around themean field.Its corrections on these theories are considered by perturbation up to the second order.The arbitrarinessof φ makes us free to fix it at any stage in the calculation.When we fix it in the way of Walecka’s MFA,the quantumcorrections are big,and the result does not converge.When we fix it in the way of Chin’s RHA,the quantum correctionis negligibly small,and the convergence is excellent.It shows that RHA covers the leading part of quantum field theoryfor nuclear systems and is an excellent zeroth order approximation for further quantum corrections,while the Waiecka’sMFA does not.We suggest to fix the parameter φ at the end of the whole calculation by minimizing the total energyper-nucleon for the nuclear matter or the total energy for the finite nucleus,to make the quantized relativistic mean fieldtheory(QRMFT)a variational method.更多还原

【Abstract】 We propose a quantization procedure for the nucleon-scalar meson system,in which an arbitrary mean scalar meson field φ is introduced.The equivalence of this procedure with the usual one is proven for any given value of φ.By use of this procedure,the scalar meson field in the Walecka’s MFA and in Chin’s RHA are quantized around the mean field.Its corrections on these theories are considered by perturbation up to the second order.The arbitrariness of φ makes us free to fix it at any stage in the calculation.When we fix it in the way of Walecka’s MFA,the quantum corrections are big,and the result does not converge.When we fix it in the way of Chin’s RHA,the quantum correction is negligibly small,and the convergence is excellent.It shows that RHA covers the leading part of quantum field theory for nuclear systems and is an excellent zeroth order approximation for further quantum corrections,while the Waiecka’s MFA does not.We suggest to fix the parameter φ at the end of the whole calculation by minimizing the total energy per-nucleon for the nuclear matter or the total energy for the finite nucleus,to make the quantized relativistic mean field theory(QRMFT)a variational method.更多还原