A Walecka mean field theory, Help to find its M*

[Leonardo Machado]

Hello friends.

I'm trying to compute an EoS to walecka model of barion interaction, but I'm having trouble to solve this equation by bisection.

M*=M-gs²*nb/ms²

where nb= (M*)*( kf*Ef- (M*)²* ln (kf+Ef)/M*) , using Ef= sqrt( kf²+(M*)²)

and Cs²= gs² M² / ms² = 267.1

I'm using J. D. Walecka as my reference for obvious reasons, but the graph of M*/M is not matching with the reference.

May any of you can help me to solve this equation by bisection ?

 

[bharat3]

In this direction, I have done lots of work. You can see in arxiv my work related to finite nuclei and infinite nuclear matter, where I have taken biggest lagrangian density and develop a new relativistic mean field parameter set. It has work very well in case of finite nuclei as well as for nuclear matter. You can excess my paper on this link https://arxiv.org/find/nucl-th/1/au:+Kumar_B/0/1/0/all/0/1 .