[ABSTRAK
Tumbukan ion berat menghasilkan suatu kondisi dimana jumlah proton dan neutronsama, hal ini disebut symmetric nuclear matter. Pemeriksaan terhadap karakteristikSNM masih dilakukan sampai saat ini. Efek suku non linear dianggapmemberikan kontribusi terhadap karakteristik dari SNM, selain itu pemeriksaanterhadap kestabilan persamaan keadaan dilakukan dengan menggunakan metodemedan rerata lanjutan. Pengecekkan lanjutan terhadap kestabilan persamaan energidilakukan dengan mengamati nilai kecepatan suara untuk setiap parameter. Solusidari persamaan densitas skalar, potensial skalar, dan turunan pertama potensialskalar ditunjukkan oleh titik potong ketiga kurva tersebut. Selain itu, pemeriksaanefek non linear terhadap kenaikan energi ikat dan tekanan setiap kenaikan temperaturjuga diperiksa. Parameter G2 yang memiliki konstanta suku cross couplingterbukti memberikan kontribusi menahan laju kenaikan energi pada SNM, hal inidiperlihatkan oleh kurva parameter G2 merupakan kurva paling soft. Kurva parameterNLZ merupakan kurva paling stiff, serta memiliki nilai Cs paling besar saat nilaimassa efektif tinggi. Kestabilan persamaan energi untuk setiap parameter masihdinilai realistik, ditinjau dari nilai C2s C2 < 1, namun setiap parameter memiliki daerahketidakstabilan saat massa efektif rendah karena nilai C2s negatif.

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ABSTRACT
Heavy ion collision produces a condition where the total of proton equal with the total of the neutron this condition is named Symmetric Nuclear Matter SNM The investigation of SNM characteristic is still being done nowadays Effects of nonlinear term are considered to contribute to characteristics of SNM in addition to the examination of the stability equation of state were calculated using extended mean field method Advanced checking the stability of the energy equation is done by observing the sound velocity values each parameter The solution of scalar density equation scalar potential and first derivative of scalar potential are showed by crossing point of three curves The investigation of non linear effects to the binding energy increasing and pressure every rise of temperature G2 which has cross coupling term contributes to restrain increasing of SNM energy it is shown by the G2 parameter curve is softest NLZ is stiffest and has biggest Cs value when high effective mass condition The stability of energy equation every Heavy ion collision produces a condition where the total of proton equal withthe total of the neutron, this condition is named Symmetric Nuclear Matter (SNM).The investigation of SNM characteristic is still being done nowadays. Effects ofnonlinear term are considered to contribute to characteristics of SNM, in additionto the examination of the stability equation of state were calculated using extendedmean field method. Advanced checking the stability of the energy equation is doneby observing the sound velocity values each parameter. The solution of scalar densityequation, scalar potential, and first derivative of scalar potential are showed bycrossing point of three curves. The investigation of non linear effects to the bindingenergy increasing and pressure every rise of temperature. G2 which has crosscoupling term contributes to restrain increasing of SNM energy, it is shown by theG2 parameter curve is softest. NLZ is stiffest, and has biggest Cs value when higheffective mass condition. The stability of energy equation every parameter couldbe said mentioned realistic, it is considered from C2sC2 < 1 value, but each parameterhas instability region when low effective mass condition is happened, because thevalues C2s are negative., Heavy ion collision produces a condition where the total of proton equal with the total of the neutron this condition is named Symmetric Nuclear Matter SNM The investigation of SNM characteristic is still being done nowadays Effects of nonlinear term are considered to contribute to characteristics of SNM in addition to the examination of the stability equation of state were calculated using extended mean field method Advanced checking the stability of the energy equation is done by observing the sound velocity values each parameter The solution of scalar density equation scalar potential and first derivative of scalar potential are showed by crossing point of three curves The investigation of non linear effects to the binding energy increasing and pressure every rise of temperature G2 which has cross coupling term contributes to restrain increasing of SNM energy it is shown by the G2 parameter curve is softest NLZ is stiffest and has biggest Cs value when high effective mass condition The stability of energy equation every Heavy ion collision produces a condition where the total of proton equal withthe total of the neutron, this condition is named Symmetric Nuclear Matter (SNM).The investigation of SNM characteristic is still being done nowadays. Effects ofnonlinear term are considered to contribute to characteristics of SNM, in additionto the examination of the stability equation of state were calculated using extendedmean field method. Advanced checking the stability of the energy equation is doneby observing the sound velocity values each parameter. The solution of scalar densityequation, scalar potential, and first derivative of scalar potential are showed bycrossing point of three curves. The investigation of non linear effects to the bindingenergy increasing and pressure every rise of temperature. G2 which has crosscoupling term contributes to restrain increasing of SNM energy, it is shown by theG2 parameter curve is softest. NLZ is stiffest, and has biggest Cs value when higheffective mass condition. The stability of energy equation every parameter couldbe said mentioned realistic, it is considered from C2sC2 < 1 value, but each parameterhas instability region when low effective mass condition is happened, because thevalues C2s are negative.Key words: coupling, soft, stiff.ix]