Ab initio methods (nuclear physics): Difference between revisions

Revision as of 15:27, 18 August 2021

Revision as of 13:55, 16 July 2022

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After arriving at a [[Hamiltonian (quantum mechanics)|Hamiltonian]] <math>H</math> (based on chiral EFT or other models) one must solve the Schrödinger equation

:<math display="block">H\vert{\Psi}\rangle = E \vert{\Psi}\rangle ,</math>,

where <math>\vert{\Psi}\rangle</math> is the many-body wavefunction of the [[mass number|''A'']] nucleons in the nucleus. Various ab initio methods have been devised to numerically find solutions to this equation:

* Green's function Monte Carlo (GFMC)<ref name=pieper2001>

{{cite journal

|first1=S. C.

|last1=Pieper

|first2=R. B.

|last2=Wiringa

|year=2001

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|year=2013

|title=Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions

|journal=Phys.Physical Rev.Review Lett.Letters

|volume=111

|issue=6

Line 94:

|year=2013

|title=Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two-Plus-Three-Nucleon Interactions

|journal=Phys.Physical Rev.Review Lett.Letters

|volume=110

|issue=24