Ab initio approach to the non-perturbative scalar Yukawa model

作者：Li Yang^*; Karmanov V A; Maris P; Vary J P

来源：Physics Letters B, 2015, 748: 278-283.

DOI：10.1016/j.physletb.2015.07.014

• Light front Hamiltonian
• Scalar Yukawa model
• Fock sector dependent renormalization

We report on the first non-perturbative calculation of the scalar Yukawa model in the single-nucleon sector up to four-body Fock sector truncation (one "scalar nucleon" and three "scalar pions"). The light-front Hamiltonian approach with a systematic non-perturbative renormalization is applied. We study the n-body norms and the electromagnetic form factor. We find that the one-and two-body contributions dominate up to coupling alpha approximate to 1.7. As we approach the coupling alpha approximate to 2.2, we discover that the four-body contribution rises rapidly and overtakes the two- and three-body contributions. By comparing with lower sector truncations, we show that the form factor converges with respect to the Fock sector expansion.

• 出版日期2015-9-2