# More about the Wilsonian analysis on the pionless neft

Koji Harada, Hirofumi Kubo, Atsushi Ninomiya

Research output: Contribution to journalArticle

8 Citations (Scopus)

### Abstract

We extend our Wilsonian renormalization group (RG) analysis on the pionless nuclear effective field theory in the two-nucleon sector in two ways; on the one hand, (1) we enlarge the space of operators up to including those of ${\mathcal O}(p-4)$ in the S waves, and, on the other hand, (2) we consider the RG flows in higher partial waves (P and D waves). In the larger space calculations, we find, in addition to nontrivial fixed points, two "fixed lines" and a "fixed surface" which are related to marginal operators. In the higher partial wave calculations, we find similar phase structures to that of the S waves, but there are two relevant directions in the P waves at the nontrivial fixed points and three in the D waves. We explain the physical meaning of the P-wave phase structure by explicitly calculating the low-energy scattering amplitude. We also discuss the relation between the Legendre flow equation which we employ and the RG equation by Birse, McGovern and Richardson, and possible implementation of power divergence subtraction in higher partial waves.

Original language English 3191-3225 35 International Journal of Modern Physics A 24 16-17 Published - Jul 10 2009

### Fingerprint

P waves
S waves
operators
flow equations
subtraction
scattering amplitude
divergence
sectors
energy

### All Science Journal Classification (ASJC) codes

• Atomic and Molecular Physics, and Optics
• Nuclear and High Energy Physics
• Astronomy and Astrophysics

### Cite this

More about the Wilsonian analysis on the pionless neft. / Harada, Koji; Kubo, Hirofumi; Ninomiya, Atsushi.

In: International Journal of Modern Physics A, Vol. 24, No. 16-17, 10.07.2009, p. 3191-3225.

Research output: Contribution to journalArticle

Harada, K, Kubo, H & Ninomiya, A 2009, 'More about the Wilsonian analysis on the pionless neft', International Journal of Modern Physics A, vol. 24, no. 16-17, pp. 3191-3225.
Harada, Koji ; Kubo, Hirofumi ; Ninomiya, Atsushi. / More about the Wilsonian analysis on the pionless neft. In: International Journal of Modern Physics A. 2009 ; Vol. 24, No. 16-17. pp. 3191-3225.
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