The $$^{1}\!S_{0}$$ channel of proton–proton scattering in new chiral effective field theory power counting

Abstract

In this paper, the chiral effective field theory is used to investigate the spin singlet channel $$^{1\!}S_{0}$$ 1 S 0 , of proton-proton (pp) scattering according to the new suggested power counting. For this purpose, the pp zero scattering amplitude is reproduced by inserting one pion exchange at leading order (LO) and the Coulomb interaction between protons at next-to-leading order (NLO). This leads to a systematic improvement up to NLO compared to the result obtained from Nijm93 potential model.

Constructing Inverse Scattering Potentials for α-α System using Physics Informed Machine Learning

“…This particular reaction has great importance in stellar astrophysics [2] and also in understanding the Hoyle state in 1 2C [3]. Current research on α − α scattering involves NLEFT alongside lattice QCD calculations [3,4]. To account for long range Coulomb interaction in alpha-alpha scattering [2], a Coulomb-modified effective range expansion from NLO onwards is utilized and lattice calculations are performed in a box of (100-120 fm) 3 [2,3], by assuming that it is far beyond the strong interaction range.…”

“…Because a two-particle problem can always be reduced to a one-particle problem in a spherically symmetric field, the one-dimensional inverse theory may be applied to two body systems. As a result, the primary goal of this study is to develop inverse potentials by examining elastic scattering of charged α particles with 4 He having orbital angular momentum l = 0, 2, 4 for energies up to 28M eV , utilizing a combination of two Morse potentials across two distinct regions. The conventional Morse function is the initial potential at short distances, while the second portion is an inverted Morse function to capture the barrier height owing to Coulomb interaction.…”