中子-氘散射重新审视:利用EKM拟合核力与WPCD方法
Neutron-deuteron scattering revisited with the EKM chiral nuclear force and the WPCD method
AI总结:
本文利用EKM拟合核力与WPCD方法重新研究中子-氘散射,发现N$^3$LO核力虽能描述NN相移,但无法解决长期存在的$ A_y $谜题,需进一步考虑三体力或相对论效应。
摘要:
我们重新审视中子-氘散射,使用波包连续离散化(WPCD)方法与EKM拟合核力,在不同拟合阶数下进行研究。我们重新推导了置换算符,并直接求解Faddeev-AGS方程,而无需重写初始Faddeev核子$ tG_0 $并引入伪态,从而使得该方法易于扩展到相对论框架。我们发现,直到次次次次导阶(N$^3$LO),虽然可以很好地描述微分截面,但无法解决长期存在的$ A_y $谜题,这与先前研究一致。N$^3$LO拟合核力能够很好地描述NN相移,以及EKM和Idaho N$^3$LO拟合核力所得结果一致,这表明需要进一步研究以解决$ A_y $谜题,例如考虑三体力或相对论效应。
英文摘要:
We revisit the neutron-deuteron scattering using the Wave-Packet Continuum Discretization (WPCD) method with the EKM chiral nuclear force at various chiral orders. We rederive the permutation operator and solve the Faddeev-AGS equations directly, without rewriting the initial Faddeev kernel $tG_0$ and introducing pseudo-states, thereby rendering the approach easily extendable to a relativistic framework. We find that up to the next-to-next-to-next-to-leading order (N$^3$LO), although one can well describe the differential cross sections, one cannot resolve the long-standing $A_y$ puzzle, consistent with previous studies. The fact that the N$^3$LO chiral forces can well describe the $NN$ phase shifts and the results obtained with the EKM and Idaho N$^3$LO chiral forces agree with each other underscores the need for further investigations to resolve the $A_y$ puzzle, e.g., considering three-body forces or relativistic effects.
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