{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ph135_hw3 - Physics 135c Homework 3 1 Construct an s-wave...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics 135c Homework 3 1.) Construct an s-wave scattering length operator ˆ a for the n p system such that the matrix element ( SM | ˆ a | SM ) for two-nucleon spin states gives a s for spin-singlet states (i.e. S = 0) and a t for spin-triplet states (i.e. S = 1) - this operator should be equivalent to the diagonal matrix we discussed in class. This operator will contain the operator ˆ s n · ˆ s p with e.g. ˆ s n = 1 2 ˆ σ n as well as the values a s and a t . For unpolarized n p scattering this operator should yield a total cross section of 4 π ( a 2 ) = π (3 a 2 t + a 2 s ) Now consider very low energy neutron scattering from molecular hydrogen H 2 , such that the two protons in the molecule interact coherently with the neutron (its wavelength is larger than the spacing between the protons). Thus you can replace the ˆ s p in your operator with ˆ S H 2 . Evaluate your new operator ˆ a H 2 for unpolarized neutron scattering from H 2 in the “para-hydrogen” state (i.e. S H 2
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern