Charged Particle Scattering in Renormalizable Pionless Effective Field Theory at Next-to-Leading Order: The pd, dd, and p³He Case

2025/07/22 by Rojik, Matúš, Schäfer, Martin, Bagnarol, Mirko +1
#FOS: Physical sciences #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2507.16250

Abstract

We formulate a renormalizable pionless effective field theory (Pionless EFT) with a non-perturbative treatment of the Coulomb interaction up to next-to-leading order (NLO) for few-nucleon systems. We extract scattering observables for charged clusters by employing two-, three-, and four-body contact interactions and using the stochastic variational method with a Coulomb-corrected harmonic oscillator trap. Our NLO results yield a pd spin-quartet scattering length and effective range of a_pd^3/2 = 12.76(29) fm and r_pd^3/2 = 1.17(7) fm; for dd scattering in the spin-quintet channel, we find a_dd² = 6.26(3) fm and r_dd² = 1.41(7) fm; and for p³He scattering, the spin-singlet and spin-triplet channels are characterized by a_p³He⁰ = 11.26(4) fm, r_p³He⁰ = 1.65(26) fm and a_p³He¹ = 9.06(4) fm, r_p³He¹ = 1.36(25) fm, respectively. Our predictions exhibit mild cutoff dependence and agree well with existing experimental phase shift analyses and potential model calculations. This demonstrates the predictive power of (Pionless EFT) for charged few-nucleon systems.

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• Nonperturbative ³S₁-³D₁ NN scattering in pionless EFT