Accuracy Tests of the Envelope Theory

Abstract

The envelope theory is an easy-to-use approximation method to obtain eigensolutions for some quantum many-body systems, in particular in the domain of hadronic physics. Even if the solutions are reliable and an improvement procedure exists, the method can lack accuracy for some systems. In a previous work, two hypotheses were proposed to explain the low precision: the presence of a divergence in the potential or the lack of a variational character for peculiar interactions. In the present work, different systems are studied to test these hypotheses. These tests show that the presence of a divergence does indeed cause less accurate results, while the lack of a variational character reduces the impact of the improvement procedure.

11 pages, 6 figures

References in corpus (8)

• Baryonic mass formula in large $N_c$ QCD versus quark model
• Numerical tests of the envelope theory for few-boson systems
• Semirelativistic Hamiltonians and the auxiliary field method
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model
• Envelope Theory for Systems with Different Particles
• Many-quark interactions: Large-$N$ scaling and contribution to baryon masses
• The envelope theory as a pedagogical tool

Cited by in corpus (1)

• Tests of the envelope theory for three-body forces